Monthly Archives: June 2014

Polyhedron with 362 Faces

I’d like to find a polyhedron with the same number of faces as there are days of the year. This is the closest I’ve come, so far. The software I used, Stella 4d, may be purchased at http://www.software3d.com/Stella.php. There is … Continue reading

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Attention, Tumblr: Learn the Meaning of the Word “Literally”

I just got an e-mail, from Tumblr (I used to blog a lot there, before coming here to WordPress). The e-mail has the title, “Your Dashboard is literally on fire.” I’m now afraid to go look at my car, OR … Continue reading

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Pie Chart for Main-Belt Asteroid Masses

I looked up enough asteroid masses to use them to make this pie chart. I now have three reactions. First: oh, that’s why only Ceres is round! Second: who was stupid enough to name an asteroid Europa? That name is … Continue reading

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A Simulation of Crystalline Growth Using Polyhedral Augmentation

Crystals and crystalline growth have been studied for centuries because of, at least in part, their symmetry. Crystals are cut in such a way as to increase this symmetry even more, because most people find symmetry attractive. However, where does … Continue reading

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Sprawling Clusters of Truncated Tetrahedra

Truncated tetrahedra make interesting building blocks. In the images below, the truncated tetrahedron “atoms” are grouped into four-part “molecules,” each with a triangular face pointed toward the molecular center, which is found in a small tetrahedral hole between the four truncated … Continue reading

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Multiple Octahedra, in a Rotating Cluster with Tetrahedral Symmetry

I created this cluster using Stella 4d: Polyhedron Navigator. This program is available at http://www.software3d.com/Stella.php.

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A Comparison of the Areas of Some of the Triangles Formed By Connecting Three Noncollinear Triangle Centers

The five most well-known triangle centers are the centroid (where a triangle’s medians meet), the orthocenter (where the lines containing the altitudes meet), the incenter (where a triangle’s three interior angle bisectors meet), the circumcenter (where the perpendicular bisectors of … Continue reading

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