The movie of the book. The Fifty-Nine Icosahedra by H.S.M.Coxeter,P.Du Val, H.T.Flather,J.F.Petrie.
Select a Stellation by clicking on a radio button.
You might need to click on the applet to start it. If you resize the page do a refresh. An explanation of the other controls is at the bottom of the page.
For an understanding of the topic visit some of the links.
Steven Dutch's Stellations of the Icosahedron
Bulatov, V. "Stellations of Icosahedron."
R. Maeder's "Stellated Icosahedra"
George Hart's 59 Stellations of the Icosahedron does similar things in glorious VRML
Weisstein, Eric W. "Icosahedron Stellations." From MathWorld--A Wolfram Web Resource.
0 : 0 10 : 10' 12 20: 4 5 30: 3 6 9' 11 40: 45 6'8'9'1011 50: 4'5'68 9 10
1 : 1 11 : 3'6'9 10 21: 7 9 10 31: 5 6 9'11 41: 5'6'7'9'1011 51: 35'6 8 9 10
2 : 2 12 : 3'6'9 12 22: 8 9 12 32: 5'6'9 10 42: 3'56'7'9'1011 52 :5 6 8 9 10
3 : 3 4 13 : 5'6'9 12 23: 4 6'9 10 33: 3'5 6'9 10 43: 4 5 6'7'9'10 11 53: 4'5'6 8 9 10'12
4 : 5 6 7 14: 4'6 7 24: 4 6'9 12 34: 4 5 6'9 10 44: 4'5'67 9 10 54: 35'68 9 10'12
5 : 8 9 10 15: 7'8 25: 7 9 12 35: 5'6'9 10'12 45: 3 5'67 9 10 55: 5 6 8 9 10'12
6 : 11 12 16: 8'9'11 26: 3 6 7 36: 3'5 6'9 10'12 46: 5 6 7 9 10 56: 4'5'6 9'10 11
7 : 13 17: 4'6 8 27: 5 6 8 37: 4 5 6'9 10'12 47: 4'5'67 9 10'12 57: 35'6 9'1011
8 : 3'5 18: 4'6 9'11 28: 10 11 38: 5'6'8'9'10 11 48: 35'6 7 9 10'12 58: 5 6 9'10 11
9 : 5'6'9 10 19: 7'9'11 29: 3 6 8 39: 3'5 6'8'9'10 11 49: 5 6 7 9 10'12
The Buttons with <,>,/,\,^,v and "glide" are to control rotation of the object.
The half hidden 9 can be chnged to say a one by selecting ,deleting the 9 and entering a new number (say 2) then press {enter}. This alters the rotation rate
"one face" draws all stell faces generated by a single face, inverted faces are filled a different color . The book(and the radio button menu) separates cells as bold, italic and plain. "one face" draws them as black, red and magenta. The Checkbox "one color" switches on the one color mode.
With the "one color" Checkbox switched off. The color and "all" Checkboxes control color when in 10 color mode. It is interesting to add one color at a time and see how the faces add together.
"open front" skips drawing a few faces at the front. Often this is the only way to inspect the interior of some "hollow" figures. If you can see through the figure(with "open front" checked) it is solid as the program does not draw the back of faces.
"hide ico" controls an icosahedron line drawing the same size as the generator.

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