Cairo

A field of identical pentagons locking into one another, each cluster spun around a shared center. Five equal sides per tile, repeated so the whole plane fills without a gap — one of the few ways a single pentagon can tile a surface edge to edge.

The figure is known as the Cairo pentagonal tiling, named for the paving stones it covers in the streets of Cairo. It is pure geometry: no figure, no ornament, just the way the pentagons pack and pinwheel. The character comes entirely from the proportion of the tile and the turn of each cluster.

At architectural scale the same packing works as a paved floor or a screen. At jewelry scale one cluster, cut clean from sheet metal, holds the whole logic of the field in a single piece.