May 31 – 151
4D Draw – Truncated orthoplex – In eight-dimensional geometry, a truncated 8-orthoplex is a convex uniform 8-polytope, being a truncation of the regular 8-orthoplex. Using the Cotexer orthographic projection, I did not notice the jump to the 8th Dimension! I like the idea of it being part of an infinite family of polytopes, Byzantine domes were trying to carry that symbolism too…
May 30 – 150
4D Draw – Decahoron. The bitruncated 5-cell is a 4-dimensional polytope. The vertices of the truncated 5-cell can also be constructed on a hyperplane in 5-space…
May 29 – 149
4D Draw – Glass hypercube.
May 28 – 148
4D Draw – Front view of a 24-cell polytope, a convex regular 4-polytope. It is also called an octaplex, octacube, or polyoctahedron – being constructed of octahedral cells.
May 27 – 147
4D Draw – 6-simplex. In geometry, a 6-simplex is a self-dual regular 6-polytope. It has 7 vertices, 21 edges, 35 triangle faces, 35 tetrahedral cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces…. The outcome seems so closely connected to some high middle ages jewelry design – I had to add a diamond to it!
May 26 – 146
4D Draw – From the table of irreducible polytope families – 2 views of a 16 cells n-orthoplex.
In some biochemistry circles, orthoplex is also the name of a nutritional supplement used to help bring healthier mood in patients – One could also look at this image as some some strange Celtic designs from the heart of the Rhineland? – Art can be many things to many people…
May 25 – 145
4D Draw – Tesseract. A tesseract is the four-dimensional analog of the cube. It is to the cube as the cube is to the square. Somewhere in here, is a projection of a cube – created from an example taken from Canadian mathematician H. Coxeter’s table of irreductible polytopes families