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.
Susan, I figured out how to weave it with seed beads and thread. Susan built this model below using Zometool, and wrote, "This is what the structure above each triangular face of the rhombicosadodecahedron looks like. I feel better about not being able to make out what's going on from the original photo. The cavity has a triangle, six trapezoids, three pentagons, and the hexagon at the top." Furthermore, "Above each core pentagon is half an icosidodecahedron (18.104.22.168)."
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.
tutorials for all skill levels.