# Pictures of Math

## Monday, March 28, 2016

## Tuesday, March 22, 2016

By Kerry Mitchell

## Sunday, January 24, 2016

### Twin Snowflakes

"Since each snowflake faces a different turbulent path
through the atmosphere, each twist, turn and fall grants it a unique
symmetry. But if you subtract nature’s volatility from the equation,
then these icy flowers are no longer guaranteed uniqueness.

By
placing two crystal seeds next to each other and growing them under the
exact same conditions, Dr. Libbrecht found that he could create two
snowflakes with nearly the same intricate shapes and patterns."

## Sunday, March 24, 2013

"The shapes are are nodes of a twisted torus knot. In producing the model, surface normals were reversed to maintain color interest and mathematical harmony. A torus knot is a knot that lies on the surface of an unknotted torus in R3."

By Harry Benke

## Saturday, March 23, 2013

"This image is produced by applying Newton's method for root finding to the complex function (z^(2+3i)-.09)*(z^(2-3i) -.09).The white areas are points in the complex plane where this function does not converge to any root. The background is produced using Perlin noise functions."

"This image is produced by iterating the complex polynomial (z^2-2)/z^2. This complex polynomial has no attracting fixed points in the complex plane."

By Robert Spann

## Thursday, March 21, 2013

It's awesome how two different projections of a 3-dimensional object onto a 2-dimensional plane can look nothing alike. I like that in each of these pictures we're looking at both projections at once.

## Tuesday, January 22, 2013

## Saturday, December 8, 2012

## Friday, November 30, 2012

"The object was generated with 7 million triangles, simplified to 1 million for export and rendered with Indigo."

"The artist creates the basic idea of the picture (plot, esthetics), basic colours, basic principles of their development. Then a computer works on the picture's individuality, adding more variations and fluctuations of the basic elements and letting them develop with time: the picture living its own life with objects moved and transformed but still following the original artist's concept." Sam Base

## Thursday, October 25, 2012

Paul Nylander creates a double spiral by applying a light projection from the top of a loxodrome onto a plane.

"A picture of a 428x428 Hadamard matrix, i.e. a matrix with orthogonal columns and all entries equal to +1 (white pixels) or -1 (black pixels). This example was discovered by H. Kharaghani and B. Tayfeh-Rezaie in 2004, and was the first of size 428x428. It is not known if there is a 668x668 Hadamard matrix, though it is conjectured that examples of size 4n x 4n exist for all n."

John Baez uses Category Theory (an abstraction of what is already very abstract math) to answer important questions in physics.

## Wednesday, October 24, 2012

Embers by TDA
"Doing spectacular things with very little code has a long tradition in the demoscene. Born out of necessity when home computers were slow and memory space scarce, pushing against artificial boundaries became a popular “sport” when PC hardware power blew up. Time and again we’ve seen demosceners tighten the limits in search of a good challenge and do voodoo with 64 and even 4 kilobytes. At the recent edition of Assembly, a demoscene main event in Helsinki (Finland) with a 20 year history, this race for minimal footprint has reached a new low: 1 kilobyte (1024 bytes) or less! While technically 1k (and smaller) intros are nothing new, Assembly’s first ever “1 kilobyte intro competition” marks a breakthrough for the category."

"Hartverdrahtet by Akronyme Analogiker is a three minute long audio-visual trip into a procedural fractalverse, compressed into a minuscule piece of software. No bigger than 4096 bytes – less than an empty Word document, as demoscene activists like to point out – the executable file contains all the mathematics needed to generate the unfolding visual complexity and audible ambience upon a double-click."

## Saturday, September 29, 2012

## Monday, September 17, 2012

## Thursday, June 28, 2012

## Wednesday, May 23, 2012

## Wednesday, May 9, 2012

"The magnetosphere is shaped somewhat like a comet due to pressure of the solar wind. It is compressed on the side toward the sun and extends tail-like on the side away from the sun. The magnetosphere deflects the flow of most solar wind particles around the Earth and protects us from severe solar storms. Artist rendition of solar wind. (K. Endo / National Geophysical Data Center)."
(Read more here.)

"Three objects are spinning so quickly that you only see a blur. The three objects are: a line that rotates to make a hyperboloid, a cube that rotates to make a combination of cones and hyperboloid, and three ellipses that rotate to make a cylinder. Pushing a button stops the spinning to reveal the object."

## Sunday, March 18, 2012

## Friday, March 9, 2012

## Friday, February 24, 2012

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