Net For N-Sided Twisted Prisms 

Prisms are fascinating three-dimensional geometric shapes that bridge the gap between simple polygons and more complex polyhedra. While most people are familiar with basic forms such as the triangular prism or cube, antiprisms—where the top polygon is rotated relative to the bottom—create beautifully twisted structures that are both mathematically elegant and visually striking.

This template features a central rectangle with triangular flaps attached at the top and bottom. The rectangle folds along its diagonal to form the prism’s three-dimensional structure. This diagonal fold line corresponds to the prism’s longest internal diagonal. The rectangle’s two long edges define a secondary diagonal that connects opposite faces of the prism, running from the top edge to the bottom of an adjacent face. Depending on the direction of the diagonal fold—clockwise or counterclockwise—this process produces two mirror-image versions of the form.

The template is exported as a DXF file and scaled in Silhouette software using a one-inch reference square. Multiple copies (n) are then cut and assembled to complete the prism.