Catalan solids

thingiverse

A complete set of the Catalan solids. Catalan solids are the duals of the Archimedan solids. They're face-transitive, which means that (like the Platonic solids) they can be used to make inherently fair dice. They have the additional constraint that all of the dihedral angles (angles between adjacent faces) are the same. Print Settings Rafts: Yes Supports: Yes Notes: The rhombic dodecahedron prints fine without supports, but all of the rest of them will probably need them. All are oriented according to the closest they have to cubic symmetry, which means that all but the rhombic tricontahedron will need to be rotated to put a face horizontal. Needed resolution will vary from solid to solid. How I Designed This All of these solids were created in TinkerCad (collection here). I wasn't satisfied with the one-degree precision TinkerCad allows in rotations, so I created a shape generator which allows arbitrary rotation of a box given the three Euler angles, to a precision of 0.01 degree. In turn, I used this box to define all of the faces of the solids. Some of the more complicated solids required rotations of shapes already on the workspace; to do this, I superimposed one of my precision-rotated boxes, and then used workplanes and copy-paste to unrotate the superimposed box.