Acronym | dirid, J76 |
Name | diminished rhombicosidodecahedron |
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Circumradius | sqrt[sqrt(5)+11/4] = 2.232951 |
Vertex figures | [4,5,10], [3,4,5,4] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
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Face vector | 55, 105, 52 |
Confer |
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External links |
This polyhedron is an edge-faceting of the small rhombicosidodecahedron (srid).
Incidence matrix according to Dynkin symbol
xxFofxx5xfoFxxo&#xt → height(1,2) = height(5,6) = sqrt[(5+sqrt(5))/10] = 0.850651 height(2,3) = height(4,5) = height(6,7) = sqrt[(5-sqrt(5))/10] = 0.525731 height(3,4) = sqrt[(5-2 sqrt(5))/5] = 0.324920 o......5o...... | 10 * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 0 at {10} .o.....5.o..... | * 10 * * * * * | 0 0 1 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 1 0 0 0 0 0 0 ..o....5..o.... | * * 5 * * * * | 0 0 0 0 2 0 2 0 0 0 0 0 0 0 | 0 0 1 0 2 1 0 0 0 0 0 ...o...5...o... | * * * 5 * * * | 0 0 0 0 0 2 0 2 0 0 0 0 0 0 | 0 0 0 1 2 0 1 0 0 0 0 ....o..5....o.. | * * * * 10 * * | 0 0 0 0 0 0 1 1 1 1 0 0 0 0 | 0 0 0 0 1 1 1 1 0 0 0 .....o.5.....o. | * * * * * 10 * | 0 0 0 0 0 0 0 0 0 1 1 1 1 0 | 0 0 0 0 0 0 1 1 1 1 0 ......o5......o | * * * * * * 5 | 0 0 0 0 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 2 1 1 at opposite {5} --------------------+-------------------+------------------------------------+----------------------- x...... ....... | 2 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 ....... x...... | 2 0 0 0 0 0 0 | * 5 * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 oo.....5oo.....&#x | 1 1 0 0 0 0 0 | * * 10 * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 .x..... ....... | 0 2 0 0 0 0 0 | * * * 5 * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 .oo....5.oo....&#x | 0 1 1 0 0 0 0 | * * * * 10 * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 .o.o...5.o.o...&#x | 0 1 0 1 0 0 0 | * * * * * 10 * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 ..o.o..5..o.o..&#x | 0 0 1 0 1 0 0 | * * * * * * 10 * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 ...oo..5...oo..&#x | 0 0 0 1 1 0 0 | * * * * * * * 10 * * * * * * | 0 0 0 0 1 0 1 0 0 0 0 ....... ....x.. | 0 0 0 0 2 0 0 | * * * * * * * * 5 * * * * * | 0 0 0 0 0 1 0 1 0 0 0 ....oo.5....oo.&#x | 0 0 0 0 1 1 0 | * * * * * * * * * 10 * * * * | 0 0 0 0 0 0 1 1 0 0 0 .....x. ....... | 0 0 0 0 0 2 0 | * * * * * * * * * * 5 * * * | 0 0 0 0 0 0 1 0 1 0 0 ....... .....x. | 0 0 0 0 0 2 0 | * * * * * * * * * * * 5 * * | 0 0 0 0 0 0 0 1 0 1 0 .....oo5.....oo&#x | 0 0 0 0 0 1 1 | * * * * * * * * * * * * 10 * | 0 0 0 0 0 0 0 0 1 1 0 ......x ....... | 0 0 0 0 0 0 2 | * * * * * * * * * * * * * 5 | 0 0 0 0 0 0 0 0 1 0 1 --------------------+-------------------+------------------------------------+----------------------- x......5x...... | 10 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * xx..... .......&#x | 2 2 0 0 0 0 0 | 1 0 2 1 0 0 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * * ....... xfo....&#xt | 2 2 1 0 0 0 0 | 0 1 2 0 2 0 0 0 0 0 0 0 0 0 | * * 5 * * * * * * * * .x.o... .......&#x | 0 2 0 1 0 0 0 | 0 0 0 1 0 2 0 0 0 0 0 0 0 0 | * * * 5 * * * * * * * .oooo..5.oooo..&#xr | 0 1 1 1 1 0 0 | 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | * * * * 10 * * * * * * cycle(BCED) ....... ..o.x..&#x | 0 0 1 0 2 0 0 | 0 0 0 0 0 0 2 0 1 0 0 0 0 0 | * * * * * 5 * * * * * ...ofx. .......&#xt | 0 0 0 1 2 2 0 | 0 0 0 0 0 0 0 2 0 2 1 0 0 0 | * * * * * * 5 * * * * ....... ....xx.&#x | 0 0 0 0 2 2 0 | 0 0 0 0 0 0 0 0 1 2 0 1 0 0 | * * * * * * * 5 * * * .....xx .......&#x | 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 1 0 2 1 | * * * * * * * * 5 * * ....... .....xo&#x | 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * 5 * ......x5......o | 0 0 0 0 0 0 5 | 0 0 0 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * 1
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