| Acronym | sripaf |
| Name | small rhombated pentachoron antifastegium, small rhombated pentachoron atop invertedsmall-rhombated-pentachoral-prism |
| Circumradius | sqrt(5/3) = 1.290994 |
| Lace city in approx. ASCII-art | s S Swhere:s = x3o3x3o (srip)S = o3x3o3x (inv.srip) |
| Face vector | 90, 540, 930, 680, 233, 33 |
| Confer |
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Incidence matrix according toDynkin symbol
ox ox3xo3ox3xo&#x → height = sqrt(3/20) = 0.387298(srip|| inv.srippip)o. o.3o.3o.3o. | 30 * | 4 2 8 0 0 0 | 2 2 4 1 4 4 8 4 8 0 0 0 0 0 0 | 1 2 2 2 4 2 4 4 2 4 4 8 4 0 0 0 0 0 0 0 | 1 2 1 2 2 4 2 2 4 2 4 0 0 0 0 | 1 2 1 2 2 0.o .o3.o3.o3.o | * 60 | 0 0 4 1 2 4 | 0 0 0 0 4 4 2 4 2 2 4 1 4 2 2 | 0 0 0 4 2 4 2 2 4 2 2 1 2 1 4 2 2 2 2 1 | 0 2 4 2 2 1 2 2 1 2 1 2 2 1 1 | 2 1 2 1 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------.. .. x. .. .. | 2 0 | 60 * * * * * | 1 1 1 0 0 0 2 0 0 0 0 0 0 0 0 | 1 1 1 0 1 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 | 1 1 0 0 1 1 0 2 2 0 2 0 0 0 0 | 1 1 0 1 2 0.. .. .. .. x. | 2 0 | * 30 * * * * | 0 0 2 1 0 0 0 0 4 0 0 0 0 0 0 | 0 1 2 0 0 0 2 0 0 2 0 4 4 0 0 0 0 0 0 0 | 1 0 0 1 0 2 2 0 2 2 4 0 0 0 0 | 0 1 1 2 2 0oo oo3oo3oo3oo&#x | 1 1 | * * 240 * * * | 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 0.x .. .. .. .. | 0 2 | * * * 30 * * | 0 0 0 0 4 0 0 0 0 2 4 0 0 0 0 | 0 0 0 4 2 4 2 0 0 0 0 0 0 1 4 2 2 0 0 0 | 0 2 4 2 2 1 2 0 0 0 0 2 2 1 0 | 2 1 2 1 0 1.. .x .. .. .. | 0 2 | * * * * 60 * | 0 0 0 0 0 2 0 0 0 1 0 1 2 0 0 | 0 0 0 2 0 0 0 2 2 1 0 0 0 1 2 0 0 2 1 0 | 0 2 2 1 0 0 0 2 1 1 0 2 1 0 1 | 2 1 1 0 1 1.. .. .. .x .. | 0 2 | * * * * * 120 | 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 | 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 | 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 | 1 0 1 1 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------.. o.3x. .. .. | 3 0 | 3 0 0 0 0 0 | 20 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 0 0 0 2 2 0 0 0 0 0 0 | 1 1 0 0 2 0.. .. x.3o. .. | 3 0 | 3 0 0 0 0 0 | * 20 * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | 1 0 0 0 1 0 0 2 0 0 2 0 0 0 0 | 1 0 0 1 2 0.. .. x. .. x. | 4 0 | 2 2 0 0 0 0 | * * 30 * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | 1 0 0 0 0 1 0 0 2 0 2 0 0 0 0 | 0 1 0 1 2 0.. .. .. o.3x. | 3 0 | 0 3 0 0 0 0 | * * * 10 * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 | 1 0 0 0 0 0 2 0 0 2 4 0 0 0 0 | 0 0 1 2 2 0ox .. .. .. ..&#x | 1 2 | 0 0 2 1 0 0 | * * * * 120 * * * * * * * * * * | 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0.. ox .. .. ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * * 120 * * * * * * * * * | 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 | 1 1 1 0 1 0.. .. xo .. ..&#x | 2 1 | 1 0 2 0 0 0 | * * * * * * 120 * * * * * * * * | 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 | 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 | 1 1 0 1 1 0.. .. .. ox ..&#x | 1 2 | 0 0 2 0 0 1 | * * * * * * * 120 * * * * * * * | 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 | 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0.. .. .. .. xo&#x | 2 1 | 0 1 2 0 0 0 | * * * * * * * * 120 * * * * * * | 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 | 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 | 0 1 1 1 1 0.x .x .. .. .. | 0 4 | 0 0 0 2 2 0 | * * * * * * * * * 30 * * * * * | 0 0 0 2 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 | 0 2 2 1 0 0 0 0 0 0 0 2 1 0 0 | 2 1 1 0 0 1.x .. .. .x .. | 0 4 | 0 0 0 2 0 2 | * * * * * * * * * * 60 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 | 1 0 1 1 0 1.. .x3.o .. .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * * * * 20 * * * | 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 0 0 0 2 1 0 0 2 0 0 1 | 2 1 0 0 1 1.. .x .. .x .. | 0 4 | 0 0 0 0 2 2 | * * * * * * * * * * * * 60 * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 | 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 | 1 0 1 0 1 1.. .. .o3.x .. | 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * * * * 40 * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 | 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 | 1 0 0 1 1 1.. .. .. .x3.o | 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * * * * * 40 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 | 0 0 1 1 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------.. o.3x.3o. ..♦ 6 0 | 12 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 | 1 0 0 0 2 0.. o.3x. .. x.♦ 6 0 | 6 3 0 0 0 0 | 2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | * 10 * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 | 0 1 0 0 2 0.. .. x.3o.3x.♦ 12 0 | 12 12 0 0 0 0 | 0 4 6 4 0 0 0 0 0 0 0 0 0 0 0 | * * 5 * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 | 0 0 0 1 2 0ox ox .. .. ..&#x♦ 1 4 | 0 0 4 2 2 0 | 0 0 0 0 2 2 0 0 0 1 0 0 0 0 0 | * * * 60 * * * * * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0ox .. xo .. ..&#x♦ 2 2 | 1 0 4 1 0 0 | 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 | * * * * 60 * * * * * * * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0ox .. .. ox ..&#x♦ 1 4 | 0 0 4 2 0 2 | 0 0 0 0 2 0 0 2 0 0 1 0 0 0 0 | * * * * * 60 * * * * * * * * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0ox .. .. .. xo&#x♦ 2 2 | 0 1 4 1 0 0 | 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 | * * * * * * 60 * * * * * * * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0.. ox3xo .. ..&#x♦ 3 3 | 3 0 6 0 3 0 | 1 0 0 0 0 3 3 0 0 0 0 1 0 0 0 | * * * * * * * 40 * * * * * * * * * * * * | 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 | 1 1 0 0 1 0.. ox .. ox ..&#x♦ 1 4 | 0 0 4 0 2 2 | 0 0 0 0 0 2 0 2 0 0 0 0 1 0 0 | * * * * * * * * 60 * * * * * * * * * * * | 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 | 1 0 1 0 1 0.. ox .. .. xo&#x♦ 2 2 | 0 1 4 0 1 0 | 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 | * * * * * * * * * 60 * * * * * * * * * * | 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0.. .. xo3ox ..&#x♦ 3 3 | 3 0 6 0 0 3 | 0 1 0 0 0 0 3 3 0 0 0 0 0 1 0 | * * * * * * * * * * 40 * * * * * * * * * | 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 | 1 0 0 1 1 0.. .. xo .. xo&#x♦ 4 1 | 2 2 4 0 0 0 | 0 0 1 0 0 0 2 0 2 0 0 0 0 0 0 | * * * * * * * * * * * 60 * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0.. .. .. ox3xo&#x♦ 3 3 | 0 3 6 0 0 3 | 0 0 0 1 0 0 0 3 3 0 0 0 0 0 1 | * * * * * * * * * * * * 40 * * * * * * * | 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 | 0 0 1 1 1 0.x .x3.o .. ..♦ 0 6 | 0 0 0 3 6 0 | 0 0 0 0 0 0 0 0 0 3 0 2 0 0 0 | * * * * * * * * * * * * * 10 * * * * * * | 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 | 2 1 0 0 0 1.x .x .. .x ..♦ 0 8 | 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 | * * * * * * * * * * * * * * 30 * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 1 0 1 0 0 1.x .. .o3.x ..♦ 0 6 | 0 0 0 3 0 6 | 0 0 0 0 0 0 0 0 0 0 3 0 0 2 0 | * * * * * * * * * * * * * * * 20 * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 1 0 0 1 0 1.x .. .. .x3.o♦ 0 6 | 0 0 0 3 0 6 | 0 0 0 0 0 0 0 0 0 0 3 0 0 0 2 | * * * * * * * * * * * * * * * * 20 * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1.. .x3.o3.x ..♦ 0 12 | 0 0 0 0 12 12 | 0 0 0 0 0 0 0 0 0 0 0 4 6 4 0 | * * * * * * * * * * * * * * * * * 10 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 1 0 0 0 1 1.. .x .. .x3.o♦ 0 6 | 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * * * * * * * * * 20 * | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1.. .. .o3.x3.o♦ 0 6 | 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * * * * * * * 10 | 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------.. o.3x.3o.3x.♦ 30 0 | 60 30 0 0 0 0 | 20 20 30 10 0 0 0 0 0 0 0 0 0 0 0 | 5 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |1 * * * * * * * * * * * * * * | 0 0 0 0 2 0ox ox3xo .. ..&#x♦ 3 6 | 3 0 12 3 6 0 | 1 0 0 0 6 6 6 0 0 3 0 2 0 0 0 | 0 0 0 3 3 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 | * 20 * * * * * * * * * * * * * | 1 1 0 0 0 0ox ox .. ox ..&#x♦ 1 8 | 0 0 8 4 4 4 | 0 0 0 0 4 4 0 4 0 2 2 0 2 0 0 | 0 0 0 2 0 2 0 0 2 0 0 0 0 0 1 0 0 0 0 0 | * * 30 * * * * * * * * * * * * | 1 0 1 0 0 0ox ox .. .. xo&#x♦ 2 4 | 0 1 8 2 2 0 | 0 0 0 0 4 4 0 0 4 1 0 0 0 0 0 | 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * 30 * * * * * * * * * * * | 0 1 1 0 0 0ox .. xo3ox ..&#x♦ 3 6 | 3 0 12 3 0 6 | 0 1 0 0 6 0 6 6 0 0 3 0 0 2 0 | 0 0 0 0 3 3 0 0 0 0 2 0 0 0 0 1 0 0 0 0 | * * * * 20 * * * * * * * * * * | 1 0 0 1 0 0ox .. xo .. xo&#x♦ 4 2 | 2 2 8 1 0 0 | 0 0 1 0 4 0 4 0 4 0 0 0 0 0 0 | 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 | * * * * * 30 * * * * * * * * * | 0 1 0 1 0 0ox .. .. ox3xo&#x♦ 3 6 | 0 3 12 3 0 6 | 0 0 0 1 6 0 0 6 6 0 3 0 0 0 2 | 0 0 0 0 0 3 3 0 0 0 0 0 2 0 0 0 1 0 0 0 | * * * * * * 20 * * * * * * * * | 0 0 1 1 0 0.. ox3xo3ox ..&#x♦ 6 12 | 12 0 24 0 12 12 | 4 4 0 0 0 12 12 12 0 0 0 4 6 4 0 | 1 0 0 0 0 0 0 4 6 0 4 0 0 0 0 0 0 1 0 0 | * * * * * * * 10 * * * * * * * | 1 0 0 0 1 0.. ox3xo .. xo&#x♦ 6 3 | 6 3 12 0 3 0 | 2 0 3 0 0 6 6 0 6 0 0 1 0 0 0 | 0 1 0 0 0 0 0 2 0 3 0 3 0 0 0 0 0 0 0 0 | * * * * * * * * 20 * * * * * * | 0 1 0 0 1 0.. ox .. ox3xo&#x♦ 3 6 | 0 3 12 0 3 6 | 0 0 0 1 0 6 0 6 6 0 0 0 3 0 2 | 0 0 0 0 0 0 0 0 3 3 0 0 2 0 0 0 0 0 1 0 | * * * * * * * * * 20 * * * * * | 0 0 1 0 1 0.. .. xo3ox3xo&#x♦ 12 6 | 12 12 24 0 0 12 | 0 4 6 4 0 0 12 12 12 0 0 0 0 4 4 | 0 0 1 0 0 0 0 0 0 0 4 6 4 0 0 0 0 0 0 1 | * * * * * * * * * * 10 * * * * | 0 0 0 1 1 0.x .x3.o3.x ..♦ 0 24 | 0 0 0 12 24 24 | 0 0 0 0 0 0 0 0 0 12 12 8 12 8 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 0 2 0 0 | * * * * * * * * * * * 5 * * * | 1 0 0 0 0 1.x .x .. .x3.o♦ 0 12 | 0 0 0 6 6 12 | 0 0 0 0 0 0 0 0 0 3 6 0 6 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 2 0 2 0 | * * * * * * * * * * * * 10 * * | 0 0 1 0 0 1.x .. .o3.x3.o♦ 0 12 | 0 0 0 6 0 24 | 0 0 0 0 0 0 0 0 0 0 12 0 0 8 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * * * * * * 5 * | 0 0 0 1 0 1.. .x3.o3.x3.o♦ 0 30 | 0 0 0 0 30 60 | 0 0 0 0 0 0 0 0 0 0 0 10 30 20 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 5 | * * * * * * * * * * * * * * 2 | 0 0 0 0 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------ox ox3xo3ox ..&#x♦ 6 24 | 12 0 48 12 24 24 | 4 4 0 0 24 24 24 24 0 12 12 8 12 8 0 | 1 0 0 12 12 12 0 8 12 0 8 0 0 4 6 4 0 2 0 0 | 0 4 6 0 4 0 0 2 0 0 0 1 0 0 0 | 5 * * * * *ox ox3xo .. xo&#x♦ 6 6 | 6 3 24 3 6 0 | 2 0 3 0 12 12 12 0 12 3 0 2 0 0 0 | 0 1 0 6 6 0 6 4 0 6 0 6 0 1 0 0 0 0 0 0 | 0 2 0 3 0 3 0 0 2 0 0 0 0 0 0 | * 10 * * * *ox ox .. ox3xo&#x♦ 3 12 | 0 3 24 6 6 12 | 0 0 0 1 12 12 0 12 12 3 6 0 6 0 4 | 0 0 0 6 0 6 6 0 6 6 0 0 4 0 3 0 2 0 2 0 | 0 0 3 3 0 0 2 0 0 2 0 0 1 0 0 | * * 10 * * *ox .. xo3ox3xo&#x♦ 12 12 | 12 12 48 6 0 24 | 0 4 6 4 24 0 24 24 24 0 12 0 0 8 8 | 0 0 1 0 12 12 12 0 0 0 8 12 8 0 0 4 4 0 0 2 | 0 0 0 0 4 6 4 0 0 0 2 0 0 1 0 | * * * 5 * *.. ox3xo3ox3xo&#x♦ 30 30 | 60 30 120 0 30 60 | 20 20 30 10 0 60 60 60 60 0 0 10 30 20 20 | 5 10 5 0 0 0 0 20 30 30 20 30 20 0 0 0 0 5 10 5 | 1 0 0 0 0 0 0 5 10 10 5 0 0 0 1 | * * * * 2 *.x .x3.o3.x3.o♦ 0 60 | 0 0 0 30 60 120 | 0 0 0 0 0 0 0 0 0 30 60 20 60 40 40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 10 30 20 20 10 20 10 | 0 0 0 0 0 0 0 0 0 0 0 5 10 5 2 | * * * * *1© 2004-2025 | top of page |