Sleight of Angle

Sleight of Angle is a dodecahedron, with twelve pentagons, same as any other. Except! every corner is a right angle. 

A regular pentagon's interior angle is 108°, so this shouldn't be possible. The trick is in the beams: a geometric sleight published by Rinus Roelofs in his 2022 Bridges Conference Proceedings paper. 

The open framework turns the solid into mostly negative space where the shape is defined more by what's missing than what's there. Fabricated in February 2026 from 16 gauge steel and powder coated teal for outdoor display, the piece stands approximately 4 × 4 × 5 feet tall on a triangular base. Available for $5,000 — reach out if you're interested.