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Polyhedron of the Day #344: First noble kizippergrammic hexecontahedron
The first noble kizippergrammic hexecontahedron is a noble polyhedron. It has 60 faces (all irregular hexagons), 180 edges, and 60 vertices. Its genus is 62. It shares its vertex arrangement with the small snub icosicosidodecahedron. Its dual is the noble kiunihexagrammic hexecontahedron.
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Albrecht Dürer – Scientist of the Day
Albrecht Dürer, a German painter, engraver, and theorist on perspective, proportion, and geometry, was born in Nuremberg on May 21, 1471.
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math fact! having the middle amount of vertices (30), the middle amount of edges (60), and the middle amount of faces (32) among all 13 of the options, the icosidodecahedron is the archi-median archimedean solid
Da Vinci's Illustrations for La Divina Porportione
From archive.org, prompted by @noosphe-re
Predictive Self-Assembly Polyhedra into Complex Structures [2012; P.F. Damasceno, M. Engel, S.C. Glotzer. Science, Vol. 337/6093] doi
Quasicrystals ∝
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Samples of 500 points from the standard normal distribution in R³, and their convex hulls
Realization 1:
Realization 2:
Realization 3:
Note how a small number of the sampled points define the vertices of the hull. If you repeat this procedure 500 times, you find that usually around 32 points will be on the hull.
the rhombicosidodecahedron. oog
Rhombicosidodecahedron
Smash
Pass
hello Tumblr. Do you like paper models of geometric shapes? Do you like pictures of works-in-progress? Do you like fictional minerals? Do you want to buy this? Let me know by liking, reblogging, and sending me asks.
This is a prototype shape: the first time I'd attached these 20 points onto a base icosidodecahedron. I went with a basic palette of three shades of purple.
