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Chosen mainly for the arch of the bridge, but also for all those windows & the arch design in the brickwork.
7DOS texture
In mathematics, the slope or gradient of a line describes its steepness, incline, or grade. A higher slope value indicates a steeper incline.
Slope is normally described by the ratio of the "rise" divided by the "run" between two points on a line. The line may be practical - as set by a road surveyor - or in a diagram that models a road or a roof either as a description or as a plan.
The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words,
the rise is (y2 − y1) = Δy.
For relatively short distances - where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words,
the run is (x2 − x1) = Δx.
Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line. In mathematical language,
the slope m of the line is
The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the grade m of a road is related to its angle of incline θ by
As a generalization of this practical description, the mathematics of differential calculus defines the slope of a curve at a point as the slope of the tangent line at that point. When the curve given by a series of points in a diagram or in a list of the coordinates of points, the slope may be calculated not at a point but between any two given points. When the curve is given as a continuous function, perhaps as an algebraic formula, then the differential calculus provides rules giving a formula for the slope of the curve at any point in the middle of the curve.
This generalization of the concept of slope allows very complex constructions to be planned and built that go well beyond static structures that are either horizontals or verticals, but can change in time, move in curves, and change depending on the rate of change of other factors. Thereby, the simple idea of slope becomes one of the main basis of the modern world in terms of both technology and the built environment
y = mx + b. The 18th of 25 mathematic Lego mini mosaics (20 inches square). When completed the entire montage will stretch over 42 feet.
Copyright © 2007 Tatiana Cardeal. All rights reserved.
Reprodução proibida. © Todos os direitos reservados.
Student at Kibera,
Nairobi city, Kenya.
Whilst a calculator may not be necessary for this level of high end mathematics, it does come in handy as a useful accessory.
And another bit of addition, the yellow and blue shirts equal the green shirts.
We're Here looks at Calculators and Calculating today.
Read the true story of the Mathematical Bridge.
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The exterior courtyard of the new Mathematical institute in Oxford. I think the pattern on the floor was something mathematical related.
"The Mathematical River" - sign which was installed on the old Leamington Lift Bridge as part of a celebration of two centuries of the Union Canal.
Agriculture and Mathematics at Andalusian fields (Nerd Life)
Identidad de Euler: la ecuación más bella del mundo.
Euler's identity: the most beautiful theorem in mathematics
En los campos de Andalucía.
Píñar - Comarca de los Montes - Andalucía
On Explore: Oct 6, 2018 #59
The Mathematical Bridge - also known simply as the Wooden Bridge - leans across the River Cam, connecting two parts of Queens' College. Local legend has it that none other than Sir Isaac Newton was the mastermind behind its design. Newton, the man who enlightened the world to the law of gravity, was a Fellow and Lucasian Professor of Mathematics at Trinity College.
This photo was taken by a Kowa Super 66 medium format film camera with a KOWA 1:3.5/55 lens and Kowa L39•3C(UV) ø67 filter using Kodak Portra 160 film, the negative scanned by an Epson Perfection V600 and digitally rendered with Photoshop.
One of the keys to shooting Epic Landscape Photography is exalting the photograph's soul via golden ratio compositions, thusly wedding the photographic art to the divine proportion by which life itself was designed and exalted.
Dr. Elliot McGucken's Golden Number Ratio Fine Art Landscape & Nature Photography Composition Studies!
instagram.com/goldennumberratio
www.facebook.com/goldennumberratio/
Greetings flickr friends! I am working on several books on "epic photography," and I recently finished a related one titled: The Golden Number Ratio Principle: Why the Fibonacci Numbers Exalt Beauty and How to Create PHI Compositions in Art, Design, & Photography: An Artistic and Scientific Introduction to the Golden Mean . Message me on facebook for a free review copy!
www.facebook.com/goldennumberratio/
The Golden Ratio also informs the design of the golden revolver on all the swimsuits and lingerie, as well as the 45surf logo!
The Golden Number Ratio Principle: Dr. E’s Golden Ratio Principle: The golden ratio exalts beauty because the number is a characteristic of the mathematically and physically most efficient manners of growth and distribution, on both evolutionary and purely physical levels. The golden ratio ensures that the proportions and structure of that which came before provide the proportions and structure of that which comes after. Robust, ordered growth is naturally associated with health and beauty, and thus we evolved to perceive the golden ratio harmonies as inherently beautiful, as we saw and felt their presence in all vital growth and life—in the salient features and proportions of humans and nature alike, from the distribution of our facial features and bones to the arrangements of petals, leaves, and sunflowers seeds. As ratios between Fibonacci Numbers offer the closest whole-number approximations to the golden ratio, and as seeds, cells, leaves, bones, and other physical entities appear in whole numbers, the Fibonacci Numbers oft appear in nature’s elements as “growth’s numbers.” From the dawn of time, humanity sought to salute their gods in art and temples exalting the same proportion by which all their vital sustenance and they themselves had been created—the golden ratio.
Ansel Adams is not only my favorite photographer, but he is one of the greatest photographers and artists of all time. And just like great artists including Michelangelo, Monet, Degas, Renoir, Leonardo da Vinci, Vermeer, Rembrandt, Botticelli, and Picasso, Ansel used the golden ratio and divine proportions in his epic art.
Not so long ago I discovered golden regions in many of his famous public domain his 8x10 aspect ratio photographs. I call these golden harmony regions "regions of golden action" or "ROGA"S, as seen here:
www.facebook.com/media/set/?set=a.1812448512351066.107374...
And too, I created some videos highlighting Ansel's use of the golden harmonies. Enjoy!
www.youtube.com/watch?v=AGnxOAhK3os
www.youtube.com/watch?v=WFlzAaBgsDI
www.youtube.com/watch?v=D3eJ86Ej1TY
More golden ratio and epic photography composition books soon! Best wishes for the Holiday Season! Dr. Elliot McGucken :)
Another great Half Man Half Biscuit track, and probably right for me in this situation, with this beautiful male adder heading straight towards me. I was undoubtedly mathematically safe!
Paris, 2005
You can also listen to my music on www.myspace.com/marcdo
(and leave a message in the Honesty Box if you wish)
Born Countess Yekaterina Vorontsova, she was the third daughter of Count Roman Vorontsov, a member of the Senate, and was distinguished for her intellectual gifts. Her uncle Mikhail Illarionovich and brother Alexander Romanovich both served as Imperial Chancellors, while her brother Semyon was Russian ambassador to Great Britain, and a celebrated Anglophile. She received an exceptionally good education, having displayed from a very early age the abilities and tastes which made her whole career so singular. She was well versed in mathematics, which she studied at the University of Moscow. In general literature, her favorite authors were Bayle, Montesquieu, Boileau, Voltaire and Helvétius. Major figure of the Russian Enlightenment.
Read more: en.wikipedia.org/wiki/Yekaterina_Vorontsova-Dashkova
Visit Petersburg: maps.secondlife.com/secondlife/Burning%20Embers/2/2/0
A gömböc (Hungarian: [ˈɡømbøt͡s]) is any member of a class of convex, three-dimensional and homogeneous bodies that are mono-monostatic, meaning that they have just one stable and one unstable point of equilibrium when resting on a flat surface. The existence of this class was conjectured by the Russian mathematician Vladimir Arnold in 1995 and proven in 2006 by the Hungarian scientists Gábor Domokos and Péter Várkonyi by constructing at first a mathematical example and subsequently a physical example. (Text from Wikipedia:
Inside the Mathematics Institute at Oxford. We were privileged to be given a tour of this extraordinary building. Very Escher like in it's communications corridors - except they all go somewhere! Full of light which is channelled to the different floors via glass crystal shaped structures which give fabulous reflections. It is an amazing structure. What a place for some of the best brains to flourish!!!
15" X 19"
Watercolor on Paper
I like to search for exciting corner when I am working en plein air. Generally, I am not too excited about iconic architectural elements. So, I always end up painting some funny corner that can be any place. However, I enjoy my personal journey of constant discovery.
When I work with complex space, I am generally not too excited about perfect depiction mathematical perspective. Simple reason for me: MY EYES DOES NOT WORK LIKE THAT. Space is complex issue; therefore, I don’t want to restrict myself with certain HARD RULES. That may kill a lot creative cells of mine. I am inspired by both Vuillard and Wu Guan Zhong about the ways how they reinvent their visual space.
当我在室外工作时，我喜欢搜索令人兴奋的角落。 一般来说，我对于标志性建筑元素并不太有兴趣， 所以我总是画一些奇怪的角落，它可以是任何地方， 但我个人喜欢的不断探索的过程。
当我处理复杂的空间时，我对于完整的数学空间 一般不太有兴趣。 理由很简单：它不是我眼睛见到的。 美学空间是一个复杂的问题; 因此，我不想以一些规则来限制自己， 这可能会杀死我的很多创意的细胞。 我的灵感来自于威亚德 (Vuillard)和吴冠中，我喜欢学习他们如何重塑有趣的视觉空间。
Computer link doesn't exist in Quiterio Mexico so we must do all the calculations with pen and paper...
Inside the Mathematics Institute at Oxford. We were privileged to be given a tour of this extraordinary building. Very Escher like in it's communications corridors - except they all go somewhere! Full of light which is channelled to the different floors via glass crystal shaped structures which give fabulous reflections. It is an amazing structure. What a place for some of the best brains to flourish!!!