Mekhontsev Wedge

The Mekhontsev wedge is a convex polyhedron found by D. Mekhontsev using IFStile (Mekhontsev 2019) and described by Pegg (2026). It has six polyhedron vertices, nine polyhedron edges, and five faces, and has the combinatorial type of a triangular prism. One realization is the convex hull of the points , , , , , and

The Mekhontsev wedge is a space-filling pentahedron and an order-8 rep-tile. In particular, it can be dissected into eight mutually congruent smaller copies similar to the original, each with scale factor .