Submitted by Jean Constant on
Random processes and visual perception.
After Dr. E Porteus demonstration: “The shortest route problem in optimisation models” - Fondations of stochastic inventory theory - Stanford University Press. 2002.
Submitted by Ibrahim Cahit Arkut on
Our algorithmic method has been given in three steps. The first two steps are the maximal mono-chromatic and then maximal di-chromatic coloring of the faces in such a way that the resulting uncolored (white) regions of the incomplete two-colored map induce no odd-cycles so that in the (final) third step four coloring of the map has been obtained almost trivially. In order to make the map-coloring algorithm more visible and meaningful let us define the four-color set as
C = {B,G, dB, lB}, where
Submitted by Bianca Violet on
Imagine sewing the edge of a Möbius strip, which is just one closed curve, to the boundary of a disk…
Submitted by Kurt Ballay on
As a constructional engineer, born in 1944, I am self-taught in mathematics and art. I created these pictures using the SURFER-program.
Submitted by Francesco de Comité on
There are several means of building set of tangent circles. One of them is called an Apollonian Gasket: it recursively fill the space between tangent circles. But this method leaves large empty spaces inside the initial circles. The idea is then to fill again those empty circles with the same algorithm, changing some parameters to induce some randomness and get some surprise at the end.
Another means is called the Steiner Chain: putting a chain of tangent circles between two circles.
Submitted by Torsten Stier on
award winning seamless five minute flight through a transmorphing Amazing Box Julia.
Submitted by Christian Gaier on
It is easy to construct 2D stars as closed polyline with constant angle between the segments. But what about 3D stars? I tried to construct 3D stars using the same angle between adjacent segments and between two planes spanned by three adjacent segments. Indeed for specific angles closed polylines can be found in 3D-space forming interesting shapes. Also I varied the sequence of the direction of plane rotation when stepping from one segment to the next one.
Submitted by Bogdan Soban on
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Submitted by Bogdan Soban on
Images exposed in this gallery were generated using a simple program based on polar coordinates in two dimensional plane. All other variables which appear in formulas are generated and taken out of the current process. The results are more or less symmetrical with no high level of complexity.
Submitted by J Gregory Moxness on
These images are created from VisibLie_E8, a free interactive Mathematica Computable Document Format (CDF) program.
http://theoryofeverything.org/MyToE/?page_id=755E8 Petrie projection