An Introduction to Medieval Spherical Geometry for Artists and Artisans

Year: 2006 Authors: Reza Sarhangi

Core claim

Medieval spherical geometry provided mathematical bases for dome designs and some of Buzjani’s constructions, including the spherical dodecahedron, are valid while the spherical icosahedron construction is not.

Topics

spherical geometry, regular tessellations, Platonic solids, Archimedean solids, dome design

Domains

spherical geometry, polyhedra, tessellation theory, Girard’s Theorem, dome art, mosaic design, architectural ornament, craft geometry

Methods

historical analysis, geometric construction, comparative verification, flat projection diagrams

Media

sphere, great-circle arcs, flat images, dome surfaces

Source status

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