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The inflorescence of Romanesco broccoli or Romanesque cauliflower. Each bud is composed of a series of smaller buds, each arranged in a logarithmic spiral. Mathematicians use the term fractal to describe a curve or geometrical figure, each part of which has the same statistical character as the whole. In Romanesco broccoli, the pattern is only an approximate fractal since the pattern eventually terminates when the feature is sufficiently small. For more information see: en.wikipedia.org/wiki/Romanesco_broccoli
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I am very grateful for the very kind comments and faves. Thanks for visiting.
There is a colour photo (shallower dof) in the first comment.
f/32 1.6sec ISO 800 Pentax 100mm Pentax K-1
We had a kind of love, I thought that it would never end
Oh my lover, oh my other, oh my friend
We talked around in circles, and we talked around and then
I loved you to the moon and back again
You gave everything this golden glow
Now turn off all the stars 'cause this I know
That it hurts like so
To let somebody go
All the storms we weathered, everything that we went through
Now, without you, what on earth am I to do?
When I called the mathematicians and I asked them to explain
They said, "Love is only equal to the pain"
And when everything was going wrong
You could turn my sorrow into song
Oh, it hurts like so
To let somebody go
To let somebody go
Oh-oh-oh (oh-oh)
Oh-oh-oh
(Let somebody, let somebody go) yeah
"Ooops ... I need to review the logarithms"
For Flickr group "Happy Caturday!", topics: "Our cats by numbers"
Taken on the dark and rainy Nottingham Light Night 2021.
More information about the mill and the mathematician can be found here:
The Mathematician
The Father of Computer Science and Artificial Intelligence
The Logician
The Cryptanalyst
The Philosopher
The Genius
The Saver of Lives
One of the Greatest Persons of the 20th Century
One of the Greatest Ever Britons
.... and the victim of a cruel society.
Alan Turing
Read: 10 Facts About Enigma Codebreaker Alan Turing
Read: Alan Turing
Artwork ©jackiecrossley
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Galileo Galilei was an important Italian scientist, physicist, mathematician, astronomer and philosopher. His scientific contribution started a new era in the history of astronomy, he was the first astronomer to access new knowledge using the telescope. He defended the concept that the Earth was not the center of the universe.
Galileo Galilei was born in Pisa, Italy, on February 15, 1564, son of Vincenzo Galilei and Julia Ammannati. His parents noticed Galilei's great intelligence and special aptitudes from an early age. The boy showed an interest in the arts and performed excellent paintings, demonstrating manual skill and creativity to manufacture toys and contraptions. He played the organ and zither with aplomb. Thus, Galilei excelled in studies at the Sunday school in Vallombrosa and planned to enter the monastery, but his father did not agree with the idea and enrolled him to study medicine at the University of Pisa. Two years after joining, he dropped out of the course and went to dedicate himself to the study of mathematics. The move did not please his father, and Galilei ended up dropping out of the University in 1585. He did not complete any degrees, but in the same year he went to Florence and began giving private lessons to support himself. He stood out for his research in geometry and continued with his mathematical studies.
It was at this time that he invented the hydrostatic balance, a mechanism that would be published in a detailed treatise in the year 1644. In 1589, in recognition of his scientific contributions and brilliant reasoning, he was appointed to the chair of mathematics at the University of Pisa. He was not welcomed by teachers, as he was only 25 years old, had incomplete academic training and publicly discredited Aristotle's established theories. In 1590 Galilei published a treatise on the motion of bodies. In 1591 he was removed from the professorship, after succumbing to intrigues and disputes with Aristotle's supporters. In 1592 he was appointed by the Senate of Venice to teach mathematics at the University of Padua, a position he would hold for 18 years. In 1609 he built a telescope based on the one previously invented by Hans Lippershey in Holland. Galilei made meticulous observations of the sky and incredible discoveries: he located the four largest moons of Jupiter and the mountains and craters on the Moon's surface. And when he detected spots present on the Sun's surface, the discovery helped to prove his theory that the star rotated on an axis. He investigated Saturn and observed what appeared to be two fixed moons, which were the edges of Saturn's ring system, but Galilei's telescope was not accurate enough to determine exactly what those points were.
His findings were collected and published in March 1610 in the book “The Messenger of the Stars”. The work was acclaimed and also generated much controversy, as Galilei publicly defended Nicolaus Copernicus' theory that the Sun was the center of our Solar System, not the Earth. At that time, the Catholic Church fully controlled science and held the opposite view, that the center was the Earth.
In 1616 Galilei was cornered by the authorities of the Inquisition and threatened with the death penalty if he did not publicly deny the scientific truths he had proved. He was expressly prohibited from teaching and propagating ideas that were contrary to the position of the Church. Even so, in 1632 he published the "Dialogue Concerning the Two Greatest Systems of the Universe", causing the Church's total rejection and intolerance. Prevented from continuing with his research and theories, the scientist retired to his castle located in Arcetri, a village near Florence, where he dedicated himself to pursuing his experiments alone.
Galileo Galilei died on January 8, 1642 in Arcetri, Italy. He was almost blinded by the observation of sunspots done without adequate protection for decades. Three hundred and fifty years later, through Pope John Paul II, on October 31, 1992, the Catholic Church formally recognized the legitimacy of Galilei's theories.
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He is reburied here:
long stories shortened... (discarded and abandoned and intertwined short stories) well..actually they are chunks and fragmets and notes of stories that never made it
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a young PhD math candidate writing his dissertation on an obscure arab mathematician from the middle ages who specialized in cycles and periods in infinite series and develops a process to determine prime number density in a large number space. (which is all and good) except this makes it an excellent tool to decrypting military grade encryption, which is based on the computational difficulty of factoring large numbers into their prime components
the arab mathematician was ultimately censured by the religious mullahs for developing tools to rationalize the infinite, which is of course the nature of Allah and for man to attempt to place Allah into a human scale is blasphemy
so the arab mathematician disappears and the young phd candidate finds that his dissertation has been suspended pending review but cant get any information on who is reviewing it
finally another young mathematician approaches him and starts a long discussion on math and the nature of numbers and the mathematicians love of the underlying structure of reality that math represents. the phd candidate is leary of this mathematician cause he wont answer what he does or where he went to school or how he knows so many cutting edge fields in math
eventually, the young mathematician offers the phd candidate a position with the NSA, National Security Agency, (where all the big crypto and high math goes on) but explains that if he accepts that he will essentially disappear from his current world. his work will be classified, he will not be able to publish in academic journals or speak in public, or talk about his work to his friends on the outside, but the compensation is that he
would be able to work unfettered with the greatest math minds in the country, totally funded, free to explore any field or fancy he thought. after a few moments of thought, the phd accepts.
then the story will go back to the arab mathematician who is also approached my a young beared mullah, who offers him a position within his group of thinkers who do ponder and explore the nature of nature reality and Allah through mathematics, but that by joining them he would need to disappear from the world, after a few minutes of thought, he too accepts...
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Daniel sipped his 6th coffee (colloidal suspension for caffeine transport) while his batch jobs on ramanet, the Indian supergrid, finished their checksum verification. His chin, a bit stubbly, itched. His eyes, a bit red, were sore. The goa trance shoutcast feed had mushed into a fast cadence drone. The flat screen monitor warped and bulged with the oscillating fan blowing on Daniel's face
'O' glamorous larval life of a PhD student...' he jotted and doodle-circled on his notepad.
Daniel cracked his neck and jutted his jaw, stretching out the accumulation of kinks, as RamaNet finished the final integrity check on his dataset. this two hour round of processing on the Indian supergrid would cost about $130 out of his precious grant fund, but you couldnt beat the bargain. 120 minutes times 150,000 PCs in the RamaNet processing collective = 1,080,000,000 seconds or 18,000,000 minutes or 300,000 hours or 12500 days or 34.25 years of processing time for the price of a video game. Calculation was commoditized now. You uploaded your pre-fromatted dataset to RamaNet. the data was packeted and sent to out to 150,000 Indians who lent a few percents of never-to-be missed CPU cycles off their systems for background processing. when their alotted package was completed it was sent back to RamaNet for re-assembly into something coherent for the buyer. in return the Indians got a rebate on their net access charges or access to premier bollywood galleries or credit towards their own processing charges. a good deal all the way around. Daniel's dataset, an anthology of complex proofs from a long-dead arab mathematician, was queued with amateur weather forecast modeling, home-brewed digital CGI for indie movies, chaos theory-based currency trading algorithms, etc. the really high end, confidential jobs, like protein folding analysis or big pharm drug trials were more likely handled by the huge western collectives of several million collaborative systems, usually high-performance machines in dedicated corporate server farms. the cost there was out of Daniel's range, but you got a faster return and better promises of encryption for your buck.
Daniel scratched his scalp and flexed his fingers. 'two months from today i will be a doctor of mathematics...and no job. damnit. i need to find something fast.' Daniel calculated in his mind how quickly the student loans repayments would kick in and completely wipe him out. RamaNet would have done it in nanoseconds, ha! he laughed to himself. Daniel had avoided the rounds of job interviews and recommendations that passed his way. he was too absorbed in his research to look ahead, and perhaps a bit intimidated by the idea of the job hunt flea market. flexing his CV, getting a monkey suit, trying to explain his research to recruiters, who were often the same finger-counting business majors in college that made his skin crawl. Daniel always felt a bit embarrassed when he announced he was math PhD candidate. folks would immediately glaze over,
tsk tsk out a 'that's interesting', and swiftly change the subject. something will come up, he mantra'd to himself over and over, something will come up. stick with ali, there is something real in there, just a bit deeper. the real problem was his thesis advisor. dr. fuentes was not returning his calls, his secretary was not taking appointments from Daniel. he had submitted his finished draft of his thesis two weeks ago, but hadnt heard back since, except for a cryptic email saying that the review committee was having some issues with his paper and that Daniel would be hearing from him shortly. Daniel was rerunning his calculations on RamaNet to assuage the gnawing doubt that he completely botched some component of his argument and that the review committee was debating some manner of telling him to redo the entire effort. no PhD and no job. that would ice the cake. Daniel started calculating his body mass and general aerodynamic resistance relative to the height of the school cathedral to figure out if he had time to reach a terminal velocity before impact...only a failed math PhD would attempt to determine at what speed his body would smack concrete, he morbidly thought to himself.
ali ja'far muhammed ibn abdullah al-farisi slipped meditatively on his cup of water, thinking about his proof. he dipped a finger in the cup and held up a droplet of water under his fingertip, watching the sunlight prisimatically splay out on the mouth of the cup. 'praise be Allah and his wonderous bounty' he mumured to himself.
the elders had been in conference all day over his proof. though the heavy doors to their chamber were closed, he would occasionally hear muffled but distinctly angry shouts. ali sat on a divan in the anteroom, served numerous cups of tea by an obviously nervous secretary. ali knew there was deep resistance to his research, but for the life of him he couldnt figure out why. he was a simple mathematician. he came up with some unique observations. he wanted to share them with his peers...
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Overview: biotech researcher discovers a new life-extension technology and is murdered. He is cryogenically frozen for 150 years. When he is
revived he must stop a dark corporate conspiracy – and find his murderer.
Summer 2015 - Hot genius free-lance biotech researcher unravels the key component of a radical life-extension gene therapy that will ensure 300 years of robust life to its recipients. The researcher is murdered shortly after he hides the critical component. His distraught friend has him cryogenically frozen. 150 years later, the researcher is revived by the same major bio-med corporation for which he had originally been working.
Quickly he realizes that their motives are less than altruistic: his modification of the gene therapy is needed to resolve an unforeseen debilitation now creeping up in the recipients of the life-extension process. The recipients, now nearing 125 years off added life, are decompensating into psychotics. The researcher at first tries to remember and reconstruct what he did with the hidden critical component, but stops in disgust when he learns that in the past 150 years the life-extension therapy has been reserved solely for the ultra-affluent and has created an extreme and cruel global gerontocratic elite. He voices his disgust to his corporate minders, who cease being beneficent and show their true colors as trying to gain control of this critical technology in order to control the elites.
In the process of dealing with the corporation, he learns about his murder and begins investigating.As he comes closer to the identity of his murderer, he uncovers a wider conspiracy and is the target of more murder attempts.
He was killed by a friend in 2015. The friend was the CEO of a small bio-gen firm that the researcher was doing the LET work for. The CEO, a biz-head with a genetics academic background, took the researcher’s work and exploited it as his own, in the process growing his small firm into a bio-med powerhouse and him into one of the world’s wealthiest individuals.
The CEO also was the first recipient of the LET and is now 190 years old, but doesn’t look a day over 45. Smart, urbane, ruthless, the CEO used his wealth and position to start the cabal of Ultras. It is a faction of the top 50 smartest and wealthiest people in the world who have ‘ascended from the world’ (faked their demise) and control the global economy with their vast coordinated wealth. Perhaps they will call themselves ‘The Ascended’. We need to decide how the cabal lives. Are they sequestered on a luxurious island compound, or do they live in the open, surgically re-sculpted after each faked death, or do they live in the open.
Also we need to figure out what the world will look and feel like in 150 years.
As the ultras decompensate into psychosis, the CEO orders the researcher to be revived in order to find a cure. The CEO had the researcher’s lab notes decrypted and figured that the he was close if not successful in finding the missing component to stabilize the LET.
Tiberius Syndrome: the decline into cruel psychosis experienced by the ultras, named after the roman emperor Tiberius’ degenerate behavior after he sequestered himself on Capri.
The ironic twist might be that there is no cure, no stabilization. The psychosis is not the result of the LET alone, but also due in part to the unfettered ego/wills of the ultras. Absolute power corrupts…
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a brazilian hacking syndicate was subcontracted by a st petersberg crew to run interference on a hit on SWIFT, the global currency clearinghouse notification network. The UniFavela clan was going to run a multi-flank raid. They specialized in fast propagating virii and had created a custom mail-in virus that exploited a few microsoft vulnerabilities that they had discovered and kept mum. Their target was a Latin American PR spokesman listed on the corporate web site for press queries. The PR flak would be just the sleepy guard on the wall for their virus to slip past. 30 minutes after opening an inocuous spoofed email from a French e-trade publication requesting clarification on the SWIFT-Indentrus partnership. the virus would port scan and map its entire site LAN, salmoning its way up the router paths till it found the deep waters of the main corporate campus network in Brussels. Shortly, the internal LAN at Brussels would be suffering switch and router buffer overflows and traffic would gasp, ack, and sputter. UniFavela would then towel whip out a vanilla DDOS on the main company web site, any INTERNIC-registered addresses, and any other system in the IP block reserved for SWIFT that had previously port scanned as interesting, or ,even, as nothing. Mongols charging the village gates and tossing flaming torches on thatched roofs. IT Operations would be running to and fro, trying to figure out the internal bandwidth crunch and if there was a bleedout causing the external net problems.
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The Post-Human Story of Minos:
the CEO of a powerful commercial combine is bore an illegitimate son by his indiscreet wife in retaliation for his own dalliances. the son has a hideous deformity but is fantastically brilliant - brilliant enough for the father overcome his own repulsion of the child - as a bastard and a freak. the father sequesters the child in an elaborate virtual domain. the child, a hacker savant, is used to breach competitor nets. but as his power in the digital realm expands, the child transforms into the tyrant-monster. using the nets, he lashes out at people who have caused him pain, then evolves into enjoying the taste of terror and fear. He becomes the Minotaur.
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'there was a mad scramble amongst all the big spook governments, dark side corporations, and the privacy maccabees once it was determined that quantum computation had left the tidal pool of academia, grown legs and air-breathing lungs, and was headed for the nat sec intel highlands. all previous encryption models were rendered obsolete, and worse, exposed. QC became an undefiable xray spotlight, laying bare any encrypted secret with a ease of opening a mathematical candy wrapper. And for a while it swung the advantage back to the state in the digital Boer War against the freecon partisans.'
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The Oort, to the Intras, looked as one people. Extra-stellar hillbillies, ekeing out a subsistance existence on extracted organics from the frozen crud comets and other planetesimals of the Oort Cloud that slung around the solar system in a 1K AU circuit. To the Oort there was no Oort. Each station, each kampong was distinct and seperate. Seperate dialects, traditions, norms, goals. Some were scientific collectives, some were tired mining operations, some were intense sectarian cults - they shared little between themselves beyond necessary trade links for scarce commodities.
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A young prince is disgraced in an internal court scandal and sent into a quasi-exile on a worthless mission. On his travels he builds the wisdom and learns the skills necessary to be a just and effective leader.
His exile was a gambit by his patriarch to remove Genji from the arena of pointless court intrigues and develop him as a real leader. The patriarch dispatched a team of loyal praetorians to discreetly follow and protect Genji on his odyssey.
Genji was sent as an emissary to the Oort system. He must pass through the Martian-Saturnine corridor, populated with industrial trading guilds and their private militias.
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Genealogy becomes paramount in a closed culture; hierarchy by heredity. Reference the roman patrician class’ death-grip obsession with lineage, or the medieval Japanese imperial court’s strict intra-elite caste system.
But in an era of extreme genetic engineering, how can bloodlines retain their importance? Perhaps this is the wrong question. Perhaps in an era of extreme genetic engineering, authentic bloodlines can only retain their importance. The longevity of an unchanged gene line demonstrates success in evolutionary competition. Over time however, the fitness of a rigidly enforced and ‘sequestered’ gene line will degrade. Consider the hemophilia of the European royal strata.
I would not want the imperial court of the inner system to be pure blue bloods, eschewing genetic manipulation. Rather I would have them take the opposite tack – and embrace genetic engineering in the pursuit of perfecting particular socially valued or distinctive attributes; a roman nose, elongated refined fingers, even the possession of certain ‘noble’ afflictions (for ex., the aforementioned hemophilia as a sign of noble lineage).
The elites should pursue genealogy with the same passion and gusto as horse breeders; studs and mares and percentages of bloodlines, enforced and suppressed gene expressions, surrogates, and gene modes des saisons.
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a bum finds a the wallet and keys of a man who jumped from a bridge
he goes to his townhouse to find something to eat or steal
is impressed and overwhelmed with the man's townhouse
showers, eats, gets cleaned up, finds some clothes
is ready to leave when he helps a woman wrestling with groceries at her door
she thanks him, but looks stunned.
‘are you the man in #560? umm..i have lived here for 3 years and have never actually seen you. you seem to leave so early in the morning and get
home so late and keep to yourself.’
they spend 30 minutes talking, having a generally warm friendly encounter.
‘well, I am so glad to have finally met you. Hope to see you soon.’ As she closes her door, the bum turns to leave but pauses and thinks for a moment, then goes back into the man's townhouse
he pours through the man's papers and keepsakes and learns that the man has no family that he speaks with, no friends, lives off a well-endowed trust fund
and
the bum moves in and takes over the mans identity
he brings warmth and sincerity to the man's identity
what makes a hermit tick? what lengths do they go to to remove themselves from society? does it become a game to avoid contact, trying to become a shadow, a phantom? does society dissolve away as a mental force in their thoughts, atrophy away or does it become an amputated impression?
what divsion line stands between a hermit and convict in solitary? the hermit, by and large, chooses their isolation, the convict has it enforced upon them. at what point does the human need for society or socialization collapse? is there anything left that we can inspect and evaluate? a hermit, however, is able to maintain walls against the Great Other, which would imply that they are seeking refuge from the world. a schizo or an autistic will be physically surrounded by others but unable or incapable of making contact.
when does the will to contact die? what is left over? do humans require contact to retain our humanity? can you love and sacrifice in a vacuum?
what defines humanity? oooh, a big question...
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genetic engineering will continue to deconstruct the human species
there will be catastrophic disasters: gene sequence specific viruses engineered to attack 'types' of people. Der Genkampf
petroleum will be replaced- hydrogen-powered locomotion and green power (in the wealthy states). the poor states will continue to be held hostage to oil politics
(cultures and civilizations do not move forward uneringly. they spasticly jerk forward and fro, in clumps andgrains, never ever as a lemming death drive.)
developed economies will be netized. a new state structure will be needed to manage and dsitribute resources. the corporate structure, the commercial backbone of the capitalist democracy, will replace the republic. it is flexible to markets and political forces, insistent on accountability, it provides a sufficient compromise between individual representation and republican government. they will begin their political evolution as projects in community development. assurances of an educated workforce by charter education. assurances of uninterrupted utilities by running their own power/water etc. net-based marketplaces create corporate agoras. employees are in fact de facto citizens of the corporation. citizenship, or regular employment, will be a reward for merit, stock shares will count towards suffrage.
great corporate collectives will arise. housing, education, security...all the needs of the middle class will be absorbed in the corporate state. the tradtional state will cede roles and responsibilities to the corporate state as their resources dwindle. a few isolated violent reactions (military or legal)by the republics against the corporate states, but they will fail over time. against, or more so, in conjunction with the homogenized corporatsists wil be the diasporae, non-corporates will glom to other modes of networked alignment, ethnic allegiance will become stronger over time - as the chinese, indian, and jewish disporaestrengthen as a formula for a successful competition against/with the corporates.
the american state, succored by its overwhelming techo-military supremancy, loses its mission, its vision - substitutes will to dominate for will to excel - and falls into the deep narcotic, insulated slumber of the unassailable. GE, nano, and the banknote net weaken the mythic cohesion of the american spirit. we are no longer united by common experience (mass-mediated or otherwise) the promise of science to make us stronger, smarter, near immortal is held like a manifest destiny or a divine IOU for services rendered to humanity.
Urbain Le Verrier, né à Saint-Lô le 11 mars 1811, mort à Paris le 23 septembre 1877, est un astronome et mathématicien
français spécialisé en mécanique céleste, découvreur de la planète Neptune et fondateur de la météorologie moderne française.
Urbain Le Verrier, born in Saint-Lô on 11 March 1811, died in Paris on 23 September 1877, was a French astronomer and mathematician specialising in celestial mechanics, discoverer of the planet Neptune and founder of modern French meteorology.
Hannah Fry ~ Waterstones ~ St James's Church ~ Piccadilly ~ London ~ England ~ Thursday March 28th 2019.
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Purchase some of my images here ~ www.saatchiart.com/account/artworks/24360 ~ Should you so desire...go on, make me rich..lol...Oh...and if you see any of the images in my stream that you would like and are not there, then let me know and I'll add them to the site for you..:))
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Have a Fabulous Friday Y'all..:)
In 1961, mathematician Edward Lorenz from the Institute of Technology in Boston was running simulations on a computer about the evolution of the climate of a certain region and discovered that small perturbations in the initial conditions of the system generated significant divergences over time. It was nothing more and nothing less than the birth of the famous phrase "A butterfly's flap of wings could cause a hurricane" and, with it, the beginnings of Chaos Theory. Over the years, mathematicians such as Mitchell Feigenbaum, David Ruelle, Floris Takens, and even Benoit Mandelbrot (father of fractal geometry) were working on the theory.
Towards the end of the 1980s, G. J. Sussman, J. Wisdom, and J. Laskar used powerful computers to perform a numerical simulation of the behavior of the outer and inner planets and discovered that, after a significant number of years, their orbits exhibited chaotic behavior. In particular, the orbital motion of the Earth and with it the Moon, was unstable after ten million years.
For now, regardless of changes, scientific advances, our finitude and contingency, and the fragile flutter of a butterfly, the planets and their moons remain there, within reach of our telescopes, beyond chaos and order in the bowels of disorder.
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From left to right: Ganymede, Europa, Jupiter and Io.
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Maksutov Cassegrain Telescope "Explore Scientific" 127, f/15.
Player One Ceres-C Camera.
Jupiter captured with Barlow Celestron X-Cell LX, 2x.
Moons captured without barlow for the final composition.
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December 24, 2023, 00:35 UT. Rural area, Concordia, Entre Ríos, Argentina.
If you are not a mathematician, you are unlikely to know of a gentleman named August Ferdinand Möbius, who was a professor of Mathematics and Astronomy at the University of Leipzig. Despite being outlandishly talented, the good professor didn’t exactly blaze through academic ranks because he was unable to attract paying students to take his class and would advertise his lectures as ‘free’ to get adequate enrollment. However, the absentminded professor considered mathematics to be poetic, and ended up defining and lending his name to one of the most enigmatic two-dimensional structures: the Möbius band (or, Möbius strip).
Yes, all of us have seen a Möbius band: the recycling sign on plastic or the infinity sign are great examples of Möbius band. To make a Möbius strip of your own, find yourself a rectangular strip of paper and glue both ends of the strip together after half-twisting the paper (by 180 degrees). Many things are extremely remarkable about this structure. Most uniquely, this two-dimensional structure has one surface. Don’t believe? Find yourself a ink pen and mark your initials anywhere on the surface. Now, with your finger tip, travel away from your initials along the central line of the strip surface. Keep going without lifting your finger from the paper. When you will have traveled the whole strip twice, you will find your fingers back on your initials –– convinced, that’s only one surface?
This 'one surface' property leads to another unintuitive – almost tantalizing – nature of this unique structure where the laterally inverted (mirror image) form of any physical point exists on the same surface! In a regular piece of paper, your initials and its mirror image (bleed-through the paper) would be on two different surfaces; To travel between them, you will have to switch surfaces. But in your personal paper Möbius strip, it is now possible to start from your initials, and without altering surfaces, reach their bleed-through mirror image, which is apparently on the other side of the surface from your initials! Also, one could keep walking on the only surface of the strip forever without ever needing to turn around – if you didn’t already, now you know why the infinity sign looks as it does!
Finally, the most unintuitive signature of Mobius structures is that they are unorientable. What’s that, right? Points on orientable things, like a ball or a bat, can be ‘inward’ and ‘outward’ or ‘upward’ and ‘downward’. No matter how you rotate the ball, an ‘outward’ point will always remain outward. But on a Möbius band, a point can slide from an ‘outward’ to an ‘inward’ orientation by rotating the strip. Simply put, the Möbius band has no ‘sidedness’. Here, every point and its mirror-image have collapsed on the same surface. It is as if, all dichotomies have disappeared and dimensions have warped-up somewhere!
Do Möbius bands exist in nature? Yes, they do. Despite the illusory visual of being so, the famous namesake arch in Alabama hills, CA is geometrically not a Möbius band. But, non-fictitious Möbius bands exist in nature elsewhere. Crystals of certain chemical compounds (e.g., niobium and selenium, NbSe3) display Möbius structures. In quantum physics, waveforms for fermions (not bosons) curiously reminds one of the Möbius pattern. Now, imagine how nice would it be if we had Möbius roller coasters or freeways in our perceivable world? We could then hop on them to simultaneously be ourselves and our mirror image – our alter ago – thereby drawing a closure to all our dichotomies. Wouldn’t it be nice if that happened?
Let me close with a crazy thought. What if, Möbius bands come into existence somewhere in those ten dimensions (M-theory) around us somewhen during magical times of the day, but due to limitations of our perceptual faculties, we are unable to acknowledge their presence?
Secret #26: Having a degree in maths does not mean I can count! Seriously, I can prove theorems like "i to the power of i is a great number of real distinct numbers"... but I suck at splitting the restaurant bill.
Melba Roy Mouton (1929-1990) was a mathematician and computer programmer in NASA’s Trajectory and Geodynamics Division, acting as the Assistant Chief of Research Programs. Mouton worked at NASA’s Goddard Space Flight Center, coding computer programs to calculate the trajectories and locations of various aircraft. She also led the group of "human computers," who tracked the Echo satellites. Roy and her team's computations helped produce the orbital element timetables by which millions could view the satellite from Earth as it passed overhead.
Image Credit: NASA
#nasa #NASAmarshall #history #blackhistorymonth #BHM
This Group become a mathematicians today at a University of Szeged . Found them drinking vodka ,beer and other good stuff at side of the fountain ! two of them had math hat !
Rachel Riley ~ Trolled ~ Kingspace ~ Kings Cross ~ London ~ England ~ Sunday September 15th 2019.
www.flickriver.com/photos/kevenlaw/popular-interesting/ Click here to see My most interesting images
Purchase some of my images here ~ www.saatchiart.com/account/artworks/24360 ~ Should you so desire...go on, make me rich..lol...Oh...and if you see any of the images in my stream that you would like and are not there, then let me know and I'll add them to the site for you..:))
You can also buy my WWT card here (The Otter image) or in the shop at the Wetland Centre in Barnes ~ London ~ www.wwt.org.uk/shop/shop/wwt-greeting-cards/european-otte...
Well, I had the absolute awesome pleasure of seeing & meeting the always gorgeous Mathematician & TV Presenter Rachel Riley at the @kingsplacelondon in #london for a live #podcast of #trolled Both, she, Tracy Ann Oberman & Nick Cohen were as awesome as you'd expect on the difficult subject of "On line" abuse!!! 😊
Have a great Hump Day Wednesday Y'all..:)
Clavius is a large crater found on the southern side of the moon, it measures approximately 136 miles across. The crater was named after Christoph Klau (or Christophorus Clavius) a 16th century German mathematician and astronomer.
Tech Specs: Meade 12" LX-90, Celestron CGEM-DX mount (pier mounted), ZWO ASI290MC, best 25% of 2,500 frames. Captured using SharpCap v3.2 and processed in Autostakkert! 3.0.14. Image date: February 3, 2020. Location: The Dark Side Observatory, Weatherly, PA, USA.
Otton Nikodym and Stefan Banach who were sitting here in Cracow in October 1916 and met another famous mathematicial - prof. Hugo Steinhaus;
commemorative monument - the author Stefan Dousa; financed by the Astor company; October 2016; Poland
TeamLab Borderless is a world of art without boundaries, a museum without a map. Artworks that form one borderless world. Artworks that move out of rooms, communicate with other works, influence, and sometimes intermingle with each other with no boundaries.
TeamLab is a consortium of artists, programmers, engineers, CG animators, mathematicians, architects and graphic designers.
This reminded me of the 19th Century oil painting ‘Wanderer above the Sea of Fog, by Caspar David Friedrich. A bit of artistic license on my part :)
I highly recommend a visit to this place. If you go, don’t miss the En Tea House. Make tea and a flower blooms inside the teacup. Flowers bloom infinitely as long as there is tea. The tea in the bowl becomes an infinite world in which the flowers continue to bloom. Drink in the infinitely expanding world.
Digital Art Museum
Tokyo, Japan
February, 2019
Alan Turing (1912-1954) was a British mathematician and logician who made major contributions to the fields of mathematics, cryptanalysis, logic, philosophy, and mathematical biology. He is also known for his work in the then-new areas of computer science, cognitive science, artificial intelligence, and artificial life .
Srinivasa Ramanujan FRS was an Indian mathematician who l had almost no formal training in pure mathematics. He made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then considered unsolvable. Ramanujan initially developed his own mathematical research in isolation. Seeking mathematicians who could better understand his work, in 1913 he began a postal partnership with the English mathematician G. H. Hardy at the University of Cambridge, England. Recognizing Ramanujan's work as extraordinary, Hardy arranged for him to travel to Cambridge. In his notes, Ramanujan had produced groundbreaking new theorems, including some that Hardy said had "defeated him and his colleagues completely", in addition to rediscovering recently proven but highly advanced results.
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I'm stampolina and I love to take photos of stamps. Thanks for visiting this pages on flickr.
I'm neither a typical collector of stamps, nor a stamp dealer. I'm only a stamp photograph. I'm fascinated of the fine close-up structures which are hidden in this small stamp-pictures. Please don't ask of the worth of these stamps - the most ones have a worth of a few cents or still less.
By the way, I wanna say thank you to all flickr users who have sent me stamps! Great! Thank you! Someone sent me 3 or 5 stamps, another one sent me more than 20 stamps in a letter. It's everytime a great surprise for me and I'm everytime happy to get letters with stamps inside from you!
thx, stampolina
For the case you wanna send also stamps - it is possible. (...I'm pretty sure you'll see these stamps on this photostream on flickr :) thx!
stampolina68
Mühlenweg 3/2
3244 Ruprechtshofen
Austria - Europe
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great stamp Helvetia 40c Celestial globe, Himmelsglobus, Globus coelestis (by Jost Bürgi, 1552-1632, swiss mathematician, watchmaker and astronomer; Globe céleste, Звёздный глобус, 天球仪)
La Reina de Corazones es un personaje de la novela a Las aventuras de Alicia en el país de las maravillas de Lewis Carroll. Está basada en el naipe de la baraja francesa del mismo nombre.
Ella es una monarca de mal genio que condena a la gente con la pena de muerte a la menor ofensa. La reina tiene una sola manera de resolver todas las dificultades, sean grandes o pequeñas, ordenando una ejecución inmediata, gritando: «¡Que le corten la cabeza!».
Pintura "La Reina de Corazones" de Alfredo Sábat
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The Queen of Hearts is a character from the book Alice's Adventures in Wonderland by the writer and mathematician Lewis Carroll. She is a foul-tempered monarch, that Carroll himself pictured as "a blind fury", and who is quick to decree death sentences at the slightest offense. Her most famous line, one which she repeats often, is "Off with their heads!"
Painting by Alfredo Sábat - "La Reina de Corazones"
Seaham is a seaside town in County Durham, England. Located on the Durham Coast, Seaham is situated 6 miles (10 kilometres) south of Sunderland and 13 miles (21 km) east of Durham. The town grew from the late 19th century onwards as a result of investments in its harbour and coal mines. The town is twinned with the German town of Gerlingen.
The original village of Seaham has all but vanished; it lay between St Mary's Church and Seaham Hall (i.e. somewhat to the north of the current town centre). The parish church, St Mary the Virgin, has a late 7th century. The Anglian nave resembling the church at Escomb in many respects, and is one of the 20 oldest surviving churches in the UK.
Until the early years of the 19th century, Seaham was a small rural agricultural farming community whose only claim to fame was that the local landowner's daughter, Anne Isabella Milbanke, was married at Seaham Hall to Lord Byron, on 2 January 1815. Byron began writing his Hebrew Melodies at Seaham and they were published in April 1815. It would seem that Byron was bored in wintry Seaham, though the sea enthralled him. As he wrote in a letter to a friend:
Upon this dreary coast we have nothing but county meetings and shipwrecks; and I have this day dined upon fish, which probably dined upon the crews of several colliers lost in the late gales. But I saw the sea once more in all the glories of surf and foam.
The marriage was short-lived, producing as its only child the mathematician Ada Lovelace, but it was long enough to have been a drain on the Milbanke estate. The area's fortunes changed when the Milbankes sold out in 1821 to the 3rd Marquess of Londonderry, who built a harbour, in 1828, to facilitate transport of goods from locally encouraged industries (the first coal mine was begun in 1845). However, this harbour later proved inadequate to deal with the millions of tonnes of coal and the 6th Marquess commissioned engineers Patrick Meik and Charles Meik to reclaim land and extend and deepen the dock. It was officially opened in 1905. The harbour is of particular interest because it consists of a series of interconnecting locks, rather than the more typical two wall construction.
As early as 1823, the 3rd Marquess had approached the architect John Dobson with a view to his drawing up plans for a town to be built around the harbour. Dobson did so, but the planned approach foundered for lack of funds, and the town instead grew in a more piecemeal fashion. To begin with, the town was itself called Seaham Harbour (to differentiate it from the ancient village); in time, though, the settlement as a whole came to be known as Seaham.
In 1853 John Candlish built the Londonderry Bottleworks in the town. It was the largest glass bottle works in Britain and survived until 1921. Candlish went on to become mayor and, in 1868, Liberal MP for Sunderland. Waste glass from the bottleworks was dumped at sea and is now washed up as glass pebbles, known as sea glass, on local beaches.
In 1928, production started at the last town colliery to be opened, Vane Tempest. By 1992, however, all three pits (Dawdon Colliery, Vane Tempest Colliery and Seaham Colliery – known locally as "the Knack") had closed, a process accelerated by the British miners' strike. The pit closures hit the local economy extremely hard.
Seaham Colliery suffered an underground explosion in 1880 which resulted in the loss of over 160 lives, including surface workers and rescuers.
Many local families were affected by the tragic loss of eight men and one boy in the 'Seaham Lifeboat Disaster', when the RNLI lifeboat, the George Elmy, foundered on 17 November 1962. To commemorate the event, the new coast road was named George Elmy Lifeboat Way.
To the south, beside the road to Dalton-le-Dale, are the remains of Dalden Tower, comprising the ruins of a 16th-century tower and fragments of later buildings.
The harbour itself may be said to be the principal landmark of the nineteenth-century town; though the Londonderry Institute in Tempest Road (1853-5 by Thomas Oliver) with its monumental Greek-style portico provides something of a glimpse of the Marquess's original vision for the town. Of a slightly later date, the former Londonderry Offices on the sea front once served as headquarters for the mining and other businesses of the Londonderry family. A statue of the 6th Marquess stands in the forecourt. Also dating from an early stage in the town's development is the town-centre church of St John, Seaham Harbour (1835–40). For the very much older St Mary's, Seaham, and its neighbour Seaham Hall, see above.
For just over a hundred years the harbour was towered over by a 58 ft (18 m) lighthouse on Red Acre Point, immediately to the north, designed by William Chapman. Erected in 1835, it displayed a fixed white light above a revolving red light (an unusual configuration, provided so as to distinguish it from the north pier light at Sunderland); both lights were displayed from the same tower, the upper being 100 feet (30 m) and the lower 54 feet (16 m) above mean sea level. The lighthouse was gas-lit, with an arrangement of third-order catadioptric lenses provided by Chance Brothers & Co. It was decommissioned in 1905, when the harbour was expanded and the current black-and-white striped pier-head light was constructed. Red Acre lighthouse was left standing, however, to serve as a daymark, until 1940 when the whole structure was swiftly demolished in case it should serve to assist enemy navigators.
A steel statue, 1101 (locally also known as Tommy) by local artist Ray Lonsdale, commemorating World War One and initially erected temporarily for three months, was the subject of a local fund-raising drive in 2014 to retain it on the town's seafront.
STEM Program Award Night. For Michelle's 9th grade, she was awarded as the Mathematician of the Year!
A closer view of the 'Seven Sisters' the name given to the beech trees planted on this ancient barrow at the end of the 19th century. Astute mathematicians will quickly calculate that there is in fact now less than the original seven trees in situ!
Looking west across towards Durham, this highpoint makes for a popular spot to photograph the last light of the day.
Egnazio Danti (Perugia 1536 - Alatri 1586)
Mathematician, astronomer, Dominican friar and even cosmographer.
In 1567 or so, Cosimo I de Medici, Duke of Tuscany summoned him in his court to develop and share the mathematical and astronomical studies in the territory of his competence.
He became soon a Grand Ducal cosmographer working hard on the maps that are still decorating the Hall of Charts in Palazzo Vecchio.
During his permanence in Florence Danti lived at the convent of Santa Maria Novella assembling the armillary sphere, the gnomon and the gnomonic holes on the façade.
The armillary sphere, installed it on the building in 1574, is on the left side of the front of the church and was used to determine the time of the vernal or Spring equinox by the shadow of the sun on its equatorial ring.
It was with this instrument that Fra' Egnazio Danti established that the calendar was 10 days late. He presented his plan to the pope who approved it. Thus was born the Gregorian calendar which is also ours, jumping from 4 to 14 October
The most emblematic icon of Paris, the Eiffel Tower, as seen from Tour Montparnasse.
The Eiffel Tower, or La tour Eiffel in French, is an iron lattice tower located on the Champ de Mars in Paris, France. It was named after the engineer Alexandre Gustave Eiffel, whose company designed and built the tower. Erected in 1889 as the entrance arch to the 1889 World's Fair, it was initially criticised by some of France's leading artists and intellectuals for its design, but has become both a global cultural icon of France and one of the most recognizable structures in the world. The tower is the tallest structure in Paris and the most-visited paid monument in the world.
Gustave Eiffel engraved on the tower seventy-two names of French scientists, engineers, and mathematicians in recognition of their contributions. Eiffel chose this "invocation of science" because of his concern over the artists' protests against the tower. This engraving was painted over at the beginning of the twentieth century but restored in 1986 and1987 by the Societe Nouvelle d'exploitation de la Tour Eiffel, a company contracted to operate business related to the Tower.
Mathematician, navigator, and first mate of the Henri, Myles Bowditch is signing up for Eslandola and the East Trade Wind Company! For gold and country! - and the ETWC.
My sig-fig for Brethren of the Brick Seas. Check it out here!
Why a picture of Hydrangeas in our garden in Leicester on World Photography Day?
a) This was taken in the UK but hortensia, as they are also known, are flowering plants actually native to Asia and both North & South America so their spread is truly world-wide.
b) Hortensia, is a Latinised version of the French given name Hortense, honoring French astronomer and mathematician Nicole-Reine Hortense Lepaute.
I like the drama of these large flower heads and eye-catching green leaves but I also see them as a representation of life. How so? In this one bush is the whole life cycle if you like; birth is seen at the bottom right as a new flower begins to bloom, maturity is all around in the bright pink flowers and death beckons bottom left as the petals are already brown in anticipation of the autumn to come.
I also like how the colour of the flower is a direct indication of the pH of the soil. This pink plant is growing in alkaline conditions with a pH of 6.5 or higher while interestingly the next bush (off shot to the right) is blue indicating acidic soil with a pH or 5.5 or lower.
Best seen large IMO.
Jack Hale. Plenary talk on the International Conference on Dynamical Systems And Applications in Atlanta (GE), 2007.
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750506082010
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The Photo was Placed as 3rd in Frame BANGLADESH Road show Photo competition on 16th Dec 2010,
This Photo represent the Wild Killing of The Best son of the soil of BANGLADESH IN 15TH dec 1971 By the then PAKISTAN ARMY at Rayer Bzar Dhaka BANGLADESH, the Place is locally known as BODDHO VUMI [ BODDHO VUMI is a BANGLA word meaning a place where Killing of innocent Bangladeshi intellectuals took place and unburied and kept unnoticed till it was discovered by Dog's and Voulchers and the place is known as BODDHO VUMI ], During the liberation war of Bangladesh The PAKISTAN Army and their alliance of East Pakistan Razaker's Now Under the trial of war criminal's took all the brilliant people of Bangladesh citizen here at a abandon place locally known as Rayer Bazar, and killed them at mid night just before a day of Independence of BANGLADESH ,
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Martyred Intellectuals Memorial (Bengali: বুদ্ধিজীবি স্মৃতি সৌধ) is a memorial built for the memory of the martyred intellectuals of Bangladesh Liberation War. The memorial, located at Rayerbazar, Mohammadpur Thana in Dhaka[1], was designed by architect Mostafa Ali Kuddus. During the entire duration of Bangladesh Liberation War of 1971, a large number of teachers, doctors, engineers, poets and writers were systematically massacred by Pakistan Army and their local collaborators, most notably the alleged Islamist militia groups Al-Badr and [Al-Shams (Bangladesh)|[Al-Shams]]. The largest number of assassinations took place on December 14, 1971, only two days before the surrender of Pakistan army to the joint force of Indian army and Mukti bahini.
Closer view of Rayerbazar intellectuals' memorial.
Foundation plaque of the memorial, Mirpur, Dhaka.
In the night of 14 December 1971, over 200 of East Pakistan's intellectuals including professors, journalists, doctors, artists, engineers, and writers were rounded up in Dhaka. They were taken blindfolded to torture cells in Mirpur, Mohammadpur, Nakhalpara, Rajarbagh and other locations in different sections of the city. Later they were executed en masse, most notably at Rayerbazar and Mirpur. In memory of the martyred intellectuals, December 14 is mourned in Bangladesh as Shaheed Buddhijibi Dibosh ("Day of the Martyred Intellectuals").
Even after the official ending of the war on December 16 there were reports of hostile fire from the armed Pakistani soldiers and their collaborators. In one such incident, notable film-maker Zahir Raihan was killed on January 30, 1972 in Mirpur, allegedly by the armed Beharis of Mirpur.
The number of intellectuals killed is estimated as follows: educationist 991, journalist 13, physician 49, lawyer 42, others (litterateur, artist and engineer) 16.[2]
Noted intellectuals who were killed between March 25 and December 16, 1971 in different parts of the country included Govinda Chandra Dev (Philosopher, Professor at DU), Munier Chowdhury (Litterateur, Dramatist, Professor at DU), Mufazzal Haider Chaudhury (Litterateur, Professor at DU), Anwar Pasha (Litterateur, Professor at DU), Dr. Mohammed Fazle Rabbee (cardiologist), Dr. Alim Chowdhury (ophthalmologist), Shahidullah Kaisar (journalist), Nizamuddin Ahmed (Reporter), Selina Parvin (reporter), Altaf Mahmud (lyricist and musician), Dr. Hobibur Rahman (mathematician, Professor at RU), Dhirendranath Datta (politician), Ranadaprasad Saha (philanthropist), Lt. Col. Moazzem Hossain (ex-soldier), Mamun Mahmood (Police Officer), and many others.
Martyred Intellectuals Memorial (Bengali: বুদ্ধিজীবি স্মৃতি সৌধ) is a memorial built for the memory of the martyred intellectuals of Bangladesh Liberation War. The memorial, located at Rayerbazar, Mohammadpur Thana in Dhaka[1], was designed by architect Md. Jame- Al- Shafi and Farid Uddin Ahmed. During the entire duration of Bangladesh Liberation War of 1971, a large number of teachers, doctors, engineers, poets and writers were systematically massacred by Pakistan Army and their local collaborators, most notably the alleged Islamist militia groups Al-Badr and [Al-Shams (Bangladesh)|[Al-Shams]]. The largest number of assassinations took place on December 14, 1971, only two days before the surrender of Pakistan army to the joint force of Indian army and Mukti bahini. Closer view of Rayerbazar intellectuals' memorial. Foundation plaque of the memorial, Mirpur, Dhaka.
In the night of 14 December 1971, over 200 of East Pakistan's intellectuals including professors, journalists, doctors, artists, engineers, and writers were rounded up in Dhaka. They were taken blindfolded to torture cells in Mirpur, Mohammadpur, Nakhalpara, Rajarbagh and other locations in different sections of the city. Later they were executed en masse, most notably at Rayerbazar and Mirpur. In memory of the martyred intellectuals, December 14 is mourned in Bangladesh as Shaheed Buddhijibi Dibosh ("Day of the Martyred Intellectuals").
Even after the official ending of the war on December 16 there were reports of hostile fire from the armed Pakistani soldiers and their collaborators. In one such incident, notable film-maker Zahir Raihan was killed on January 30, 1972 in Mirpur, allegedly by the armed Beharis of Mirpur.
The number of intellectuals killed is estimated as follows: educationist 991, journalist 13, physician 49, lawyer 42, others (litterateur, artist and engineer) 16.[2]
Noted intellectuals who were killed between March 25 and December 16, 1971 in different parts of the country included Govinda Chandra Dev (Philosopher, Professor at DU), Munier Chowdhury (Litterateur, Dramatist, Professor at DU), Mufazzal Haider Chaudhury (Litterateur, Professor at DU), Anwar Pasha (Litterateur, Professor at DU), Dr. Mohammed Fazle Rabbee (cardiologist), Dr. Alim Chowdhury (ophthalmologist), Shahidullah Kaisar (journalist), Nizamuddin Ahmed (Reporter), Selina Parvin (reporter), Altaf Mahmud (lyricist and musician), Dr. Hobibur Rahman (mathematician, Professor at RU), Dhirendranath Datta (politician), Ranadaprasad Saha (philanthropist), Lt. Col. Moazzem Hossain (ex-soldier), Mamun Mahmood (Police Officer), and many other
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Thanks In Advance for not Inviting me to any Group and using Graphics to this picture for comments .
Press F to Faves This Photo
-Please don't use or alter this image on websites, blogs or any other media without my explicit permission. © All rights reserved
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A tribute to Joseph Louis Lagrange and his Mécanique Analytique.
The cycloid, the lagrangian equation of motion with the lagrangian function, the lagrangian function, position-velocity-acceleration in lagrangian formalism, the lagrangian equation of motion, arc length, Frénet-Serret's formulas, the cardioid, the main trihedron, ...
Studying Lagrangian Mechanics is very inspiring.
Self shot - March 2012.
12/52
Are You Paying Attention?
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Bletchley Park. Hut 3.
Bletchley Park, Home of the Codebreakers, is one of the cornerstones of British History during WWII. Its story being told the world over through the life and death, of Alan Turing (Mathematician and computer scientist). The most recognised films, Enigma (2001) and The Imitation Game (2014). I found Bletchley Park to be so interesting and fascinating. The more you learn, the more you want to discover. It's one of those places where you just have to visit to get a sense of what was going on in secrecy, during wartimes.
The home of British codebreaking and a birthplace of modern information technology. It played a major role in World War Two (WWII), producing secret intelligence which had a direct and profound influence on the outcome of the conflict.
Hut 3's significance is principally historic. It was an important building in the early phase of Bletchley Park, which is renowned for its part in this breaking of the German Enigma code, and in contributing to the Allied victory (especially in the Battle of the Atlantic). It was in Hut 3 that from June 1940 crucial analysis of decrypted German army and air force communications took place.
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No Group Awards/Banners, thanks
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Links:
www.facebook.com/watch/?v=834688065388201
www.facebook.com/Bletchleypark1
historicengland.org.uk/listing/the-list/list-entry/1391799
historicengland.org.uk/listing/the-list/list-entry/139179...
www.heritagegateway.org.uk/Gateway/Results_Single.aspx?ui...
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Ear of Dionysius (Orecchio di Dionisio)
Because I was at the park right at its opening, I was able to spend a few minutes in this cave by myself. These two in the photo were the last to leave, leaving the cave exclusively to me, if only for a few minutes....
From Wikipedia:
The Ear of Dionysius (Italian: Orecchio di Dionisio) is a limestone cave carved out of the Temenites hill in the city of Syracuse, on the island of Sicily in Italy. Its name, given by the painter Michelangelo da Caravaggio, comes from its similarity in shape to the human ear. The name is also linked to echoes in the cave.[citation needed]
Geology
Exterior view in the context of the Archaeological Park. 2012
The Ear of Dionysius was most likely formed out of an old limestone quarry. It is 23 metres high and extends 65 metres back into the cliff. Horizontally, it bends in an approximate "S" shape, vertically it is tapered at the top like a teardrop. Because of its shape, the Ear has extremely good acoustics, making even a small sound resonate throughout the cave.
Purpose
This cave was dug in Greek/Roman times to provide water storage for Syracuse. A narrow tunnel was dug first. This tunnel was widened by digging down and sideways afterwards, giving the cave its unusual shape. The small narrow tunnel is still visible on the top of this artificial cave. An earthquake struck this area causing damage, and the cave became unusable for water storage afterwards.
The cave was named after Dionysius I of Syracuse who used the cave as a prison, and would listen to hear what his prisoners were saying about him through the echoes in the cave.
History
The name of the cave was coined in 1608 by the painter Caravaggio,[1] who was shown the grotto by the mathematician, antiquarian and archaeologist Vincenzo Mirabella. It refers to the tyrant Dionysius I of Syracuse. According to legend, Dionysius used the cave as a prison for political dissidents, and by means of the perfect acoustics eavesdropped on the plans and secrets of his captives. Another legend claims that Dionysius carved the cave in its shape so that it would amplify the screams of prisoners being tortured in it.[citation needed] The sound-focusing effect can no longer be heard because access to the focal point is no longer possible. The visitors of the cave can however still hear the echo while they are in the Ear of Dionysius.[citation needed]
Because of its reputation for acoustic flawlessness, the Ear of Dionysius has also come to refer to a type of ear trumpet that has a flexible tube. The term 'Ear of Dionysius' can also refer to surveillance, specifically for political gain.[citation needed]
In popular culture
The cave is featured as the location of the tomb of Archimedes in the 2023 film Indiana Jones and the Dial of Destiny.