TL;DR
This paper explores the role of finite projective geometry in understanding the structure and symmetry of certain combinatorial patterns and designs, revealing underlying mathematical principles.
Contribution
It provides a geometric framework connecting the Miracle Octad Generator patterns with symmetry properties in graphic designs.
Findings
Finite projective geometry explains the structure of the 35 patterns.
Symmetry properties of designs are derived from geometric principles.
The geometric approach unifies different combinatorial patterns.
Abstract
Finite projective geometry underlies the structure of the 35 square patterns in R. T. Curtis's Miracle Octad Generator, and also explains the surprising symmetry properties of some simple graphic designs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Code & Models
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry