Cyclic Averages of Regular Polygons and Platonic Solids
General Mathematics
2022-06-22 v1
Abstract
The concept of the cyclic averages are introduced for a regular polygon and a Platonic solid . It is shown that cyclic averages of equal powers are the same for various , but their number is characteristic of . Given the definition of a circle (sphere) by the vertices of and on the base of the cyclic averages are established the common metrical relations of .
Cite
@article{arxiv.2010.12340,
title = {Cyclic Averages of Regular Polygons and Platonic Solids},
author = {Mamuka Meskhishvili},
journal= {arXiv preprint arXiv:2010.12340},
year = {2022}
}