Heavy card stock, 33 x 33 x 8 cm, Bridges 2026 Exhibition of Mathematical Art, Craft, and Design in Galway, Ireland

N-Fold Icosahedral Tori are toroidal polyhedra with N-fold rotational symmetry. They are related to modular origami where each module is a polyhedron that is repeated N times to make a complete torus. The modules are icosahedra with 20 triangular faces; hence the modular part is icosahedral. I discovered that I could change one edge of a regular Platonic icosahedron and turn two equilateral triangles into isosceles triangles. The real challenge was to find the length of the altered edge to make a complete torus with exactly N modules. I constructed models from N=4 to N=14.