Islamic Geometry: Hankin’s Polygons in Contact Algorithm!!!
summary
Hankin’s Polygons in Contact algorithm is explained with concrete examples: a 6‑6‑6 honeycomb and a 4‑6‑12 tiling, two interactive JavaScript demos, and the observation that a 54° contact angle on one tiling and 36° on another produce the same star. Implementation notes include failures on non‑regular tiles and a graph‑matching fix using matching algorithms. Varying contact angle yields parquet deformations; a working JS demo and physical outcomes (embroidery, tiles) are shown so you can see what actually builds and what breaks.
AI-written summary · about
chapters (8)
- 0:00Intro
- 0:22Islamic art? Islamic geometric art?
- 2:41Star Patterns
- 3:22What is tiling theory?
- 4:36Classifying Tilings
- 7:36Implementation!!
- 8:33Non-regular tiles
- 10:14Islamic Parquet Deformations!
related talks
12mAperiodic Tiling
22mMathematics of Animation
22mPolyhedra, I Choose You! Letting Your Passions Take Form
32mFrom Geometry to Algebra and Back Again: 4000 Years of Papers
10mWe Love Polyhedra! (And So Should You!)
28mPlaying With Polyhedra: Creating Beauty from Obsession- 32mFrom Geometry to Algebra and Back Again: 4000 Years of Papers
30mThe Trouble with Pentagons: Developing Off the Grid