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The bridge was designed in 1748 by William Etheridge (1709–76), and was built in 1749 by James Essex the Younger (1722–84). It has subsequently been repaired in 1866 and rebuilt to the same design in 1905.
The Mathematical Bridge (The Wooden Bridge)
I was once told that this bridge was built by Newton without Nuts and Bolts, but Newton died in 1727 a couple of decades before it was built. This is a well known myth.
In fact the bridge was designed by William Etheridge, and built by James Essex in 1749. It has been rebuilt on two occasions, in 1866 and in 1905, but has kept the same overall design.
The Bridges of Koningsburg. The 3rd of 25 mathematic Lego mini mosaics (20 inches square). When completed the entire montage will stretch over 42 feet.
© All rights reserved to Faisal Al Suliman
www.youtube.com/watch?v=nWpwZf3jebw&feature=related <<< for relaxing :)
Toy Sunday Theme: Mathematics
Warning: This gets complicated. Fibonacci was an Italian mathematician in the 12th century. We can thank him for the 1,2,3, etc. numbers that we use today. We can also thank him for the Fibonacci sequence, which is also intrinsically related to the golden mean -- i.e. the 3 to 5 ratio that was originally standard format for photographs. Anyway . . . he explained this sequence in terms of rabits multiplying in his field. He starts out with zero rabbits. The next month, he gets one pair of male and female rabits. In one month's time, he still has one pair (0 + 1). The following month they have two babies, resulting in two pairs of rabbits (1 + 1 = 2). In three months time, the babies of the original rabbits mature into childhood and a second pair is born (2 + 1 = 3). Then in the fourth month, the children of the first pair breed while the original pair have another two male and female babies (3 + 2 = 5). And then they grow up, etc., etc. -- resutling in the following sequence: (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.).
Why is this sequence of interest? Because it is the same set of proportions used in the golden spiral, which is intricately related to the golden mean, which is the proportions originally used in photography and guides many of the rules of composition with use today. I won't bore you anymore with the details, but people who really love fun stuff about mathematics can find more info on Wikipedia here: en.wikipedia.org/wiki/Fibonacci_number
Even one of the simplest and common phenomenon can be hard to describe from a mathematical and physical point of view. The patterns and shapes of the drop impacting a liquid surface can be amazing and it changes randomly every time. This photo has no manipulation, just crop.
Gear:
Canon EOS 550D + EF70-300 L IS manually focused, row shooting mode, water, a fountain with red fish and turtles, lots of patience.
Agli sgoccioli -3
Anche uno dei più semplici e comuni fenomeni può essere difficile da descrivere da un punto di vista fisico e matematico. Le forme e l'aspetto di una goccia che impatta la superficie di un liquido può produrre risultati affascinanti e sempre diversi. La foto non ha subito alcuna manipolazione, solo un crop.
Attrezzatura:
Canon EOS 550D + EF70-300 L IS fuoco MF, modalità scatto in sequenza, acqua, una fontana con pesci rossi e tartarughe, molta pazienza.
There is something weird going on with beauty in the natural world we live in.
1. Our eye sees something like the head of a bee. Due to colour, texture, shape etc our mind registers this as beauty.
2. Here we have a piece of a little membrane of a seed pod. There is still some texture, some colour but if we would zoom in more, beauty would become less, until a few lines are left.
3. Here we see matter at atomic level, at least we can imagine it is :;) . Visual beauty disappears and a strange world of probabilities seems to exist over there.
4. However, mathematical beauty (4), arising in a human mind, seems to describe the behaviour of reality at this level where visible beauty has disappeared.
So we found the cycle starting with visible beauty entering our mind and ending with invisible beauty emanating from our mind corresponding to an invisble reality.
Just a pity that this mathematical beauty is so complex.......
EXIF is from photo 1
Lisbon oceanarium stairs. A place designed to be enjoyed from all angles from the moment you enter it.
A couple of different exposures of the Mathematical Bridge at Queens' college. Contrary to punt guide tales, it has nothing to do with Isaac Newton.
I can't decide which I prefer
Image created using particles obeying certain "gravitational" laws. Mostly variations on "accelerate toward/away from some particle unless some condition is met, in which case move toward/away from some other particle (or location)".
Made with processing (processing.org).
Randomness I. The 1st of 25 mathematic Lego mini mosaics (20 inches square). When completed the entire montage will stretch over 42 feet.
These symbols are be familia with those who have a science and engineering background.
Thanks for all negative and positive comments. They will improve my skills and afflatus.
Walking back to Surfers along the beach front.
James Beattie, a farmer, became the first European to settle in the area when he staked out an 80-acre (32 ha) farm on the northern bank of the Nerang River, close to present-day Cavill Avenue. The farm proved unsuccessful and was sold in 1877 to German immigrant Johan Meyer, who turned the land into a sugar farm and mill. Meyer also had little luck growing in the sandy soil and within a decade had auctioned the farm and started a ferry service and built the Main Beach hotel. By 1889, Meyer's hotel had become a post receiving office and subdivisions surrounding it were named Elston, named by the Southport postmaster after his wife's home in Southport, Lancashire, England. The Main Beach Hotel licence lapsed after Meyer's death in 1901 and for 16 years Elston was a tourist town without a hotel or post office.
The boom of the 1950s and 1960s was centred on this area and the first of the tall apartment buildings were constructed in the decades that followed. Little remains of the early vegetation or natural features of the area and even the historical association of the beachfront development with the river is tenuous. The early subdivision pattern remains, although later reclamation of the islands in the Nerang River as housing estates, and the bridges to those islands, have created a contrast reflected in subdivision and building form. Some early remnants survived such as Budd's Beach — a low-scale open area on the river which even in the early history of the area was a centre for boating, fishing and swimming.
Some minor changes have occurred in extending the road along the beachfront since the early subdivision and The Esplanade road is now a focus of activity, with supporting shops and restaurants. The intensity of activity, centred on Cavill, Orchid and Elkhorn Avenues, is reflected in the density of development. Of all places on the Gold Coast the buildings in this area constitute a dominant and enduring image visible from as far south as Coolangatta and from the mountain resorts of the hinterland.
For more Info: en.wikipedia.org/wiki/Surfers_Paradise,_Queensland
I suddenly found myself in the midst of a herd moving fast around me. They jostled, pushed me & bleated me for being in their way. I took the customary shots & wondered aloud to the shepherd: " How do you keep a track of the numbers of your cattle?
The shepherd smiled & replied: "Simple... I count their feet & divide by four!"
I asked him his name & he replied with the humbleness of all the mathematicians in his name: "Srinivasa Ramanujan Shakuntal Dev Arya Bhatt!" :)
Dehaai/ Desai stories!
We have to live with the idea that we can rely on our intelligence and our senses (otherwise normal living wouldn't be possible). Our intelligence says that 2x3 is the same as 3x2. But if we see with our senses that 2x3 can be different from 3x2 (two different underlying structures) then we can get confused. Is there more than we can see or reason?
Fractals. Siepinski. The 7th of 25 mathematic Lego mini mosaics (20 inches square). When completed the entire montage will stretch over 42 feet.
Randomness II: The 6th of 25 mathematic Lego mini mosaics (20 inches square). When completed the entire montage will stretch over 42 feet.
Ponendo x= π, con calcoli banali si ottiene, dalla formula di Eulero:
exp(ix)=cosx + i senx
la formula che compare nella immagine.
E' una formula che mi ha sempre affascinato, porchè contiene i 5 numeri con cui possiamo riassumere la matematica:
O e 1, con cui costruire l'aritmetica dei naturali;
Ï€, il rapporto tra la lunghezza di una circonferenza e il suo diametro;
i, l'unità immaginaria, radice quadrata dell'unità negativa;
e, il numero di Nepero...
Sustituyendo x = π, con cálculos triviales, se obtiene, de la fórmula de Euler:
exp (ix) = cos x + i senx
la fórmula que aparece en la imagen.
Es una fórmula que siempre me encantò, ya que contiene 5 números con los que podemos resumir las matemáticas:
O y 1, con los que construir la aritmética de los numeros naturales
π, la relación entre la longitud de una circunferencia y su diámetro;
i, la unidad imaginaria, la raÃz cuadrada de la unidad negativa;
e, el número de Napier
Substituting x = π, with trivial calculations we obtain, from Euler's formula:
exp (ix) = cosx + i senx
the formula which appears in the image.
It 'a formula that has always fascinated me, because it contains 5 numbers with which we can summarize the math:
O and 1, with which to build the arithmetic of natural numbers;
Ï€, the ratio between the length of a circumference and its diameter;
i, the imaginary unit, square root of negative unity;
e, the number of Napier
Galleria Continua San Gimignano
Human Mathematics, ipaekre - roib 1982-2015, installation, mixed media
Law of cosines. The 5th of 25 mathematic Lego mini mosaics (20 inches square). When completed the entire montage will stretch over 42 feet. (THIS IS A 3-D AND DIFFICULT TO PHOTOGRAPH FROM ABOVE)
CSX W001 approaches Gettysburg on it's way from Baltimore to Hagerstown on a track inspection assignment.