Ștefan Ungureanu — Observing Icosahedron Sediment Formation (acrylic on canvas, 2013)
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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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You can insert an icosahedron inside an octahedron.
If the edge length of the octahedron ist 1 + Phi (1.618), the egde length of the icosahedron is SQRT(2).
A friend showed me this picture by Casey house:
[Source: Caseys website ]
And I had to draw it in isometric projection.
Very neat.
One could also make that even further and put an octahedron into the icosahedron and so on...
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Pentagram, Ekaterina Lukasheva || 30 units (7.50 x 7.50, square) || Reverse Engineered
not to be bottomphobic but WHY are there holes.
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Two more planar graphs of an icosahedron. Well, left one is missing three edges, actually.
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as if being Double Verified on tumblr wasn't enough, now you can put that $8 to better use again by giving it to us! use coupon code TWITTERBLUE on our website and get most cassettes for $8
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i drew myself a lil voidsona ::>
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Regular-ish Convex Polyhedra Bracket — Round 2
Propaganda
Disdyakis Triacontahedron:
Also called the Hexakis Icosahedron, Decakis Dodecahedron, Kisrhombic Triacontahedron
Catalan Solid
Dual of the Truncated Icosidodecahedron
It has 120 scalene triangular faces, 180 edges, and 62 vertices of three types.
It is the face-transitive convex polyhedron with the most faces, thus makes the highest fair die (120 sides).
Image Credit: Cyp
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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Polyhedra on dotted isometric paper
Drawing polyhedra on dotted isometric paper is so calming. One does not need to use a ruler or a compass. Instead one can just count dots to determine the length, and play around with the angles.
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Licuala, Valentina Minayeva || 30 units (4.66 x 27.94, 1:6) || Reverse Engineered
Diagram available on request to the designer.
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Three planar graphs of an icosahedron.
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