trapeziprog

Trapeziprog is a fictional geometric solid described in mathematical folklore and educational puzzles. It is defined as a convex polyhedron whose faces are trapezoids and whose overall form resembles a prism built from trapezoidal tiles.

In most variants, trapeziprog consists of two congruent trapezoidal bases connected by a belt of trapezoidal side faces, creating a closed polyhedron. The construction allows a range of dihedral angles between adjacent faces, and the vertex figure can vary with the chosen base trapezoid.

A planar net for trapeziprog can be produced by cutting along a spanning set of edges; nets typically present as a zigzag strip of trapezoids with two end caps. The shape is used in demonstrations of polyhedral nets and spatial reasoning.

In educational use, trapeziprog serves to illustrate how trapezoids can tessellate a three-dimensional volume and to compare properties with more common prisms and trapezohedra.

In fiction and puzzle contexts, trapeziprog also appears in worldbuilding settings as a decorative or architectural element, valued for its angular geometry and potential for modular construction. See also: trapezoid, prism, polyhedron.