Geometry study / frozen candidate 01

The recut chair

One seven-cube chair, modified by 192 curved tabs and pockets.
Inspect the solid, assemble identical copies, and see why one periodic arrangement fails.

Exact curved solid · research proposal
Drag to orbit · scroll to zoom · colors identify identical copies
TabsPockets

What happens at one port?

A slice through a pocket and its opposing tab, at zero separation.

Vertical scale enlarged · one depth unit = 1/4096

Valid assembly contact Fits

A depth-7 tab follows the same boundary as the depth-7 pocket.

Periodic chair placement Overlaps

The depth-9 tab enters the other solid. The red band is actual overlap.