Representation of Geometric Objects by Color
arXiv:2210.16722
Abstract
By introducing various actions involving color to geometrical objects, we represent a cube and simplex in four or fewer dimensions, the geometrical net of a cube and simplex in five or fewer dimensions, hyperprisms, truncated polytopes, stellated polytopes, and fractals such as Cantor dust and Menger sponge, and propose the "four-dimensional" Menger sponge whose volume is infinite.
38 pages, 45 figures