Escher: An Engine for Exploring Hierarchical Combinatorial Tilings

Year: 2024 Authors: John C. Bowers; Dakota Lawson

Core claim

Combinatorial tilings can be explored and visualized effectively through recursive subdivision rules plus graph-drawing methods such as circle packing and Tutte embedding.

Topics

combinatorial tilings, finite subdivision rules, graph drawing, hierarchical recursion

Domains

topological graph theory, discrete geometry, planar graphs, circle packing, mathematical visualization, generative design, tiling art, digital drawing tools

Methods

recursive subdivision, circle packing, Tutte embedding, SVG export

Media

Python library, text-based tiling language, planar graph drawings, SVG files

Source status

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