Mathematics

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…

Day 194 – Pentagonal Hexecontahedron

Day 194 – Pentagonal Hexecontahedron 640 480 mathgrrl

For the next week or two we will be modeling and printing wireframe models of various exotic polyhedra. On Day 192 we developed a method for doing this using Mathematica,…

Day 192 – Mesh-testing a Gyroelongated Pentagonal Bicupola

Day 192 – Mesh-testing a Gyroelongated Pentagonal Bicupola 640 480 mathgrrl

Inspired by the many sets of polyhedral models on Thingiverse (for example pmoews’ Archimedean Solids, Johnson Polyhedra, and Catalan Solids, and pdragy’s Customizable Convex Polyhedra), today we experimented with ways to…

Day 190 – One hundred triangle-squares

Day 190 – One hundred triangle-squares 640 480 mathgrrl

In bulk printing mode again. Over the past few days we have printed 100 of the Hinged Triangle-Square models from Day 189, for a giveaway at an upcoming conference. Many…

Day 189 – Sierpinski tetrahedron

Day 189 – Sierpinski tetrahedron 640 480 mathgrrl

Today an amazing thing happened. It became possible to print a Sierpinski tetrahedron without internal supports on a desktop filament-based 3D printer. Not a fancy laser sintering powder printer that…

Day 188 – Hinged Triangle-Square

Day 188 – Hinged Triangle-Square 839 628 mathgrrl

Today we printed the famous hinged dissection called the Haberdasher’s Puzzle from Henry Dudeney, who found a way to cut an equilateral triangle into four pieces that reassemble into a square.…

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