Representation of Geometric Objects by Color
History and Overview
2022-11-01 v1 Metric Geometry
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.
Keywords
Cite
@article{arxiv.2210.16722,
title = {Representation of Geometric Objects by Color},
author = {Yusuke Imai},
journal= {arXiv preprint arXiv:2210.16722},
year = {2022}
}
Comments
38 pages, 45 figures