Related Mathematics

During the kickstarter campaign I did a number of updates on mathematics related to the polyhedron models. A summary of these is listed below with links to the full pages on kickstarter:

  • You say potato - simple decoration of the face models

    some of the younger, and some of the older, testers who tried the models also enjoyed decorating the faces. This update looks at experiments with potato printing and simple symmetry.

  • Let's face it

    Looking at the vertex angles of polygon faces leading to simple 2D tiling and the 3D convex and non-convex polyhedra that can be made with the faces.

  • Cutting corners

    Accuracy of the laser cutter and a method from Coxeter of calculating the 3D vertex coordinates for the platonic solids.

  • Educated Englishmen

    More from Coxeter showing dissection of 2D polygons into rhombs and 3D rhombic polyhedra into rhombic parallelepipeds.

  • Three sides now

    Deltahedra, convex, non-convex and rings of tetrahedra.

  • On reflection

    Looking at the angles needed between mirrors to create kaleidoscopes that tesselate in 2D and in 3D.

  • Woodn't it be good

    On making rather than maths. Wooden veneer glued onto the edge models

  • Challenged to a dual

    Creating geodesic structures and goldberg polyhedra from the icosahedron, but no help with my golf scores.

  • Polyhedron plans -> unit origami inspired designs

    My designs have tabs at edges and vertices but unit origami designs, in this case from Tomoko Fuse, use tabs and pockets that join within the faces.

Decorating faces with potato printing and symmetries Geometry of faces and other models 3D vertex coordinate calculation dissection of 2D and 3D into rhombs strictly convex deltahedra 2D and 3D kaleidoscope models wooden models unit origami propeller unit based models