Euler-Cayley Formula for ‘Unusual’ Polyhedra

Year: 2016 Authors: Dirk Huylebrouck

Core claim

A generalized Euler-Cayley formula, including genus and density factors, appears to fit unusual and infinite polyhedra examples.

Topics

polyhedral formulas, star polyhedra, higher genus, artistic inspiration

Domains

Euler characteristic, topology, polyhedral combinatorics, regular star polyhedra, mathematical art, Escher-inspired imagery, architectural geometry, visual tessellations

Methods

formula conjecture, worked examples, density counting, comparative analysis

Media

polyhedra, star polygons, tessellation images, toroid models

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.