Crater Moon in White...
American Mathematical Society recently posted a photo of an amazing structure on their Facebook page with no comment of who made it. They called it a rhombicosidodecahedron (220.127.116.11) because that is the name of the polyhedron in the very inside layer, but Susan Goldstine noticed that the outside layer is actually a truncated icosadodecahedron (4.6.10). This object is a multilayered compound of unusual polyhedra.
This is a photo from Ivona Suchmannova of Spiral Beading, showing the first layer curled into a ball.
This shows the start of layer 2 with the longer, 6 mm bugles. You can see the 5 triangles around the pentagons and the 3 trapezoids around the triangles. The short edge of the trapezoids is the aqua 8°. All other beads are 11° and 6 mm.
Next, the center front is still just one layer, but layer 2 is nearly complete. Layer 2 consists of 30 little 3D pentahedrons sitting on top of the squares in the first layer. Four little walls like a camping tent, the four other sides of the pentahedrons include two triangles and two trapezoids. The short sides of the trapezoids are the one place where we use an 11° instead of a bugle bead.
Here you see 3 of the 12 rings done.
Four more to go!
In the fourth layer, I finished the space under the 30 squares, adding two trapezoid loops per square.
The fifth and final layer requires adding 720 size 15° seed beads to the outer surface. Only then does the Crater Moon really hold its shape neatly.
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