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Sat, 17 Nov 2018
How do you make a stella octangula?
Yesterday Katara asked me out of nowhere “When you make a stella octangula, do you build it up from an octahedron or a tetrahedron?” Stella octangula was her favorite polyhedron eight years ago. “Uh,” I said. “Both?” Then she had to make one to see what I meant. You can start with a regular octahedron: Then you erect spikes onto four of the octahedron's faces; this produces a regular tetrahedron: Then you erect spikes onto the other four of the octahedron's faces. Now you have a stella octangula. So yeah, both. Or instead of starting with a unit octahedron and erecting eight spikes of size 1, you can start with a unit tetrahedron and erect four spikes of size ½. It's both at once. [Other articles in category /math] permanent link |