Generalized Pythagorean Lutes

Year: 2022 Authors: Spencer Nicholas Whitehead

Core claim

Only three 2D lutes exist, no lutes exist for dimensions five and higher, and dimension four admits a 120-cell lute.

Topics

self-similar patterns, regular polytopes, higher-dimensional geometry, exceptional symmetry, geometric classification

Domains

discrete geometry, polytope theory, Coxeter groups, Wythoff construction, mathematical art, quilt design, computer imagery, Zome models

Methods

geometric construction, case classification, projection analysis, semi-formal proof

Media

Zome models, computer images, quilt, Maple package

Source status

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