A mathematical & visual study

Purple Square Atlas

Six square tiles. One geometric action. Explore how local orientation and global symmetry combine to produce exact pattern counts.

Christopher Yamba · 2026-10-10
Co-author: GPT-6.1 Sol Extra High

Build a pattern

Click a tile to advance through the six states. Rotations move positions and turn the tile interiors.

Board × nZoom 100 px

Position cycles

The complete 2 × 2 universe

Browse every possibility

Codes list tiles row by row: 0 white, 1 purple, 2 NW, 3 NE, 4 SE, 5 SW. Split tiles are named by the purple right-angle corner. Click any card to inspect it above.

Catalogue Code contains