Update 09, 2016

 

Off to Transylvania! # 270. Sept 28.

This image is about the stalagmite principle. It is used to study and visualize the probability for the blue and the grey squares  of being the target color. Appropriate for a Physics of Advanced Material conference…

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346

December 12. – 346

MathMod & Morenaments.
This 3D parametric surface is attributed to programmer and mathematician Roger Bagula. I slightly extended the x parameter to emphasize the interconnection of the two volumes.
Background: P31 symmetry. This group has three different rotation centers of order three. It has reflections in three distinct directions.

326

November 22 – 326

Geogebra. . On the original tablet (cc. lower right object)2 circles of specific different sizes are inscribed in a rectangle. I put them in a cube to see what would happen and treated the image like an old litho. Geometry is an infinite source of inspiration!

325

November 21 – 325

Geogebra. . The two forward objects on the weaving describe the problem: a right triangle , a circular arc, a square between them. Find the sizes of each object in term of each other. The center composition is the same problem in 3D – saved in a translucent box.

323

November 19 – 323.

Geogebra. Sangaku problem from the Katayamahiko shrine. Four circles of radius r and four congruent equilateral triangles of side a touch a big circle of radius R internally and also touch a small square of the side a. Find r in terms of R.

Note that on the image, the circles have been transformed in spheres, the triangles into pyramids and the square in a cube.