this is a rhombicosidodecahedron appreciation post!!!! reblog if you are a rhombicosidodecahedron enjoyer
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Rhombicosidodecahedron and its dual, the deltoidal hexecontahedron
I constructed the rhombicosidodecahedron from a truncated icosahedron (red lines, truncations are violet)
Marks of the deltoidal hexecontahedron's vertices:
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Regular-ish Convex Polyhedra Bracket — Round 1
Propaganda
Sphere:
"Formally, a sphere is the set of points that are all at the same distance r from a given point in three-dimensional space." — Wikipedia
Not a convex polyhedron.
Image Credit: Aizenr
Rhombicosidodecahedron:
Archimedean Solid
Semiregular
Dual of the Deltoidal Hexecontahedron
It has 12 regular pentagonal faces, 30 square faces, 20 regular triangular faces, 120 edges, and 60 vertices.
Image Credit: Cyp
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WHO SUBMITTED THE RHOMBICOSIDODECAHEDRON SIX TIMES DAMMIT
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A Zome Rhombicosidodecahedron, and Some of Its Variations
A Zome Rhombicosidodecahedron, and Some of Its Variations
Here’s a Zome rhombicosidodecahedron, made up of white Zomeballs and short blue struts.
If you replace each of the rhombicosidodecahedron’s thirty squares with golden rectangles in a certain way, by replacing certain short struts with medium struts along the triangle/rectangle edges, you get a Zomeball made of Zome — what some have called a “metazomeball.” It has enlarged triangles, compared to…
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imagine making this into a die and using it in dungeons and dragons lmfao
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New profile picture! The Tumblr-style truncated icosidodecahedra were made by @anonymous-leemur, and I recolored them using @arokill‘s recolor of Gilbert Baker’s nine-stripe Pride flag.
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rhombicosidodecahedron naturally has a rhythm to it and i love it. RHOM-bi-COS-i-DO-de ca-HE-dron (deca has no dash bc its 16th notes). its got an interesting stress pattern, its 4 beats, theres a variation in the rhythym. etc. idk its a good word
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Regular-ish Convex Polyhedra Bracket — Round 5 (Finals)
Propaganda
Truncated Icosidodecahedron:
Also called the Rhombitruncated Icosidodecahedron, Great Rhombicosidodecahedron, Omnitruncated Dodecahedron, Omnituncated Icosahedron
Archimedean Solid
Semiregular
Dual of the Disdyakis Triacontahedron
It has 12 regular decagonal faces, 20 regular hexagonal faces, 30 square faces, 180 edges, and 120 vertices.
It has the most edges and vertices of all platonic and archimedean solids.
Of the vertex-transitive polyhedra, it fills up the most of the volume of the sphere it fits in (89.80%).
It is not actually the shape you get when you truncate an icosidodecahedron, although it is topologically equivalent.
It is the mod's favorite three-dimensional shape.
They made a void truncated icosidodecahedron and it's glorious. I had one for a while, it's hard to turn because of alignment issues, especially the decagonal sides. Fun puzzle tho, never did figure out how to permute the last layer...
Image Credit: @anonymous-leemur
Regular Icosahedron:
Platonic Solid
Regular
Dual of the Regular Dodecahedron
It has 20 regular triangular faces, 30 edges, and 12 vertices.
Image Credit: @etirabys
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rhombicosidodecahedron.
that’s it. that’s the post
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tot2023: wave 5
round 3, match 56
[id: two pictures. the first shows a green render of a rhombicosidodceahedron, a polyhedra with triangular, square and pentagonal faces, the second 3 sticks of butter. end id.]
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