← Tiling patchOne tile, rotated in 4D
\(J^{12}=I\)
First edge familySecond edge familyTracked vertex

Original orientation · 0 applications

Click J once for the next orientation. The dashed outline shows the previous pose; colors follow the same edges.

What is moving?

This is a continuous 4D rotation, with exact lattice orientations at each stop. In its two invariant planes, one click turns by \(30^\circ\) and \(-150^\circ\). The Spectre projection shows a \(30^\circ\) planar rotation; the Hat and Turtle projections also exchange shapes.

The small cross marks the fixed lattice origin.