Mathematics

Day 205 – Disdyakis Triacontahedron

Day 205 – Disdyakis Triacontahedron 640 480 mathgrrl

Today is our largest Catalan print so far, with a diameter of over 120 millimeters – about the size of a very large grapefruit. One cool thing about this model is…

Day 204 – Pentakis Dodecahedron

Day 204 – Pentakis Dodecahedron 640 480 mathgrrl

Yes, we seem to have fallen behind again. We can talk more about that on some “Friday.” For now we’ll catch up with the rest of our Catalan prints and…

Day 203 – Rhombic Triacontahedron

Day 203 – Rhombic Triacontahedron 640 480 mathgrrl

This Catalan solid is the Rhombic Triacontahedron, the dual of the Icosidodecahedron (which we’ve already printed twice before as a snap-together model, in Day 89 and Day 117). Thingiverse link: http://www.thingiverse.com/thing:274427 Settings: .3mm/low…

Day 202 – Triakis Octahedron

Day 202 – Triakis Octahedron 640 480 mathgrrl

New fact of the day: If you add a pyramid to each face of an octahedron, then you are taking its “Kleetope.” A cool new word for me, leading to…

Day 201 – Saturday guest: owens and the Tetrahemihexahedron

Day 201 – Saturday guest: owens and the Tetrahemihexahedron 628 472 mathgrrl

Today’s post is contributed by Bill Owens, also known as owens on Thingiverse. He is the creator of the Customizable Menger Sponge and Customizable Sierpinski Tetrix models that cleverly print…

Day 199 – Triakis Icosahedron

Day 199 – Triakis Icosahedron 640 480 mathgrrl

For the last week I’ve been printing whatever polyhedra appeal to me, and today I realized that everything I’ve printed is a Catalan solid. Today is the fifth, the Triakis…

Day 198 – Deltoidal Icositetrahedron

Day 198 – Deltoidal Icositetrahedron 640 480 mathgrrl

Another day, another Catalan solid.  Today it is the Deltoidal Icositetrahedron, dual of the Archimedian solid known as the Rhombicuboctahedron. As we discussed yesterday, the fact that these are duals means…

Day 197 – Pentagonal Icositetrahedron

Day 197 – Pentagonal Icositetrahedron 640 480 mathgrrl

Today’s print is yet another Catalan solid, the Pentagonal Icositetrahedron – dual of the Snub Cube which we printed with Poly-Snaps in Day 116, and giraffe-cousin of the Pentagonal Hexecontahedron we printed…

Day 196 – Deltoidal Hexecontahedron

Day 196 – Deltoidal Hexecontahedron 640 480 mathgrrl

Continuing our string of Catalan solids, today we printed a Deltoidal Hexecontahedron.   Thingiverse link: http://www.thingiverse.com/thing:272833 Settings: MakerWare custom profile described in Day 194, on a Replicator 2. Technical notes, math…

Day 195 – Disdyakis Dodecahedron

Day 195 – Disdyakis Dodecahedron 640 480 mathgrrl

The Disdyakis Dodecahedron is a convex Catalan solid with a lot of cool properties, including: It’s the dual of an Archimedian solid, the Truncated Rhombicuboctahedon; It has 26 vertices, 72…

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