Acronym | pepuf, K-4.165 |
Name |
pentagonal pucofastegium, pentagon - decagon-prismatic wedge, pentagonal magnabicupolaic ring, {5} || dip, {10} || pecu, {5}-first cap of srahi |
Segmentochoron display | |
Circumradius | sqrt(23+10 sqrt(5)) = 6.735034 |
Lace city in approx. ASCII-art |
x5o x5x x5x |
Dihedral angles |
|
Face vector | 25, 55, 43, 13 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
xxx5oxx&#x → height(1,2) = height(1,3) = sqrt((5-sqrt(5))/10) = 0.525731 height(2,3) = 1 o..5o.. | 5 * * | 2 2 2 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 | 1 1 2 1 0 .o.5.o. | * 10 * | 0 1 0 1 1 1 0 0 | 0 1 1 0 0 1 1 1 1 0 | 1 0 1 1 1 ..o5..o | * * 10 | 0 0 1 0 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1 -----------+---------+--------------------+----------------------+---------- x.. ... | 2 0 0 | 5 * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0 oo.5oo.&#x | 1 1 0 | * 10 * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0 o.o5o.o&#x | 1 0 1 | * * 10 * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 .x. ... | 0 2 0 | * * * 5 * * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1 ... .x. | 0 2 0 | * * * * 5 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 0 1 1 .oo5.oo&#x | 0 1 1 | * * * * * 10 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1 ..x ... | 0 0 2 | * * * * * * 5 * | 0 0 0 1 0 0 0 1 0 1 | 0 1 1 0 1 ... ..x | 0 0 2 | * * * * * * * 5 | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1 -----------+---------+--------------------+----------------------+---------- x..5o.. | 5 0 0 | 5 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0 xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 0 | * 5 * * * * * * * * | 1 0 1 0 0 ... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 0 | * * 5 * * * * * * * | 1 0 0 1 0 x.x ...&#x | 2 0 2 | 1 0 2 0 0 0 1 0 | * * * 5 * * * * * * | 0 1 1 0 0 ... o.x&#x | 1 0 2 | 0 0 2 0 0 0 0 1 | * * * * 5 * * * * * | 0 1 0 1 0 ooo5ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 0 | * * * * * 10 * * * * | 0 0 1 1 0 .x.5.x. | 0 10 0 | 0 0 0 5 5 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1 .xx ...&#x | 0 2 2 | 0 0 0 1 0 2 1 0 | * * * * * * * 5 * * | 0 0 1 0 1 ... .xx&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * * 5 * | 0 0 0 1 1 ..x5..x | 0 0 10 | 0 0 0 0 0 0 5 5 | * * * * * * * * * 1 | 0 1 0 0 1 -----------+---------+--------------------+----------------------+---------- xx.5ox.&#x ♦ 5 10 0 | 5 10 0 5 5 0 0 0 | 1 5 5 0 0 0 1 0 0 0 | 1 * * * * x.x5o.x&#x ♦ 5 0 10 | 5 0 10 0 0 0 5 5 | 1 0 0 5 5 0 0 0 0 1 | * 1 * * * xxx ...&#x ♦ 2 2 2 | 1 2 2 1 0 2 1 0 | 0 1 0 1 0 2 0 1 0 0 | * * 5 * * ... oxx&#x ♦ 1 2 2 | 0 2 2 0 1 2 0 1 | 0 0 1 0 1 2 0 0 1 0 | * * * 5 * .xx5.xx&#x ♦ 0 10 10 | 0 0 0 5 5 10 5 5 | 0 0 0 0 0 0 1 5 5 1 | * * * * 1
{5} || dip → height = sqrt((5-2 sqrt(5))/20) = 0.162460
5 * | 2 4 0 0 0 | 1 4 2 2 0 0 0 | 2 2 1 0
* 20 | 0 1 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
-------+---------------+------------------+--------
2 0 | 5 * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
1 1 | * 20 * * * | 0 1 1 1 0 0 0 | 1 1 1 0
0 2 | * * 10 * * | 0 1 0 0 1 1 0 | 1 1 0 1
0 2 | * * * 10 * | 0 0 1 0 1 0 1 | 1 0 1 1
0 2 | * * * * 10 | 0 0 0 1 0 1 1 | 0 1 1 1
-------+---------------+------------------+--------
5 0 | 5 0 0 0 0 | 1 * * * * * * | 2 0 0 0
2 2 | 1 2 1 0 0 | * 10 * * * * * | 1 1 0 0
1 2 | 0 2 0 1 0 | * * 10 * * * * | 1 0 1 0
1 2 | 0 2 0 0 1 | * * * 10 * * * | 0 1 1 0
0 10 | 0 0 5 5 0 | * * * * 2 * * | 1 0 0 1
0 4 | 0 0 2 0 2 | * * * * * 5 * | 0 1 0 1
0 4 | 0 0 0 2 2 | * * * * * * 5 | 0 0 1 1
-------+---------------+------------------+--------
♦ 5 10 | 5 10 5 5 0 | 1 5 5 0 1 0 0 | 2 * * *
♦ 2 4 | 1 4 2 0 2 | 0 2 0 2 0 1 0 | * 5 * *
♦ 1 4 | 0 4 0 2 2 | 0 0 2 2 0 0 1 | * * 5 *
♦ 0 20 | 0 0 10 10 10 | 0 0 0 0 2 5 5 | * * * 1
{10} || pecu → height = (sqrt(5)-1)/4 = 0.309017
10 * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
* 5 * | 0 0 2 0 2 2 0 0 | 0 2 1 0 0 2 1 2 1 0 | 1 0 2 1 1
* * 10 | 0 0 0 1 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
----------+--------------------+----------------------+----------
2 0 0 | 5 * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
2 0 0 | * 5 * * * * * * | 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0
1 1 0 | * * 10 * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
1 0 1 | * * * 10 * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
0 2 0 | * * * * 5 * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1
0 1 1 | * * * * * 10 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
0 0 2 | * * * * * * 5 * | 0 0 0 1 0 0 0 1 0 1 | 0 1 1 0 1
0 0 2 | * * * * * * * 5 | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1
----------+--------------------+----------------------+----------
10 0 0 | 5 5 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
2 2 0 | 1 0 2 0 1 0 0 0 | * 5 * * * * * * * * | 1 0 1 0 0
2 1 0 | 0 1 2 0 0 0 0 0 | * * 5 * * * * * * * | 1 0 0 1 0
2 0 2 | 1 0 0 2 0 0 1 0 | * * * 5 * * * * * * | 0 1 1 0 0
2 0 2 | 0 1 0 2 0 0 0 1 | * * * * 5 * * * * * | 0 1 0 1 0
1 1 1 | 0 0 1 1 0 1 0 0 | * * * * * 10 * * * * | 0 0 1 1 0
0 5 0 | 0 0 0 0 5 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
0 2 2 | 0 0 0 0 1 2 1 0 | * * * * * * * 5 * * | 0 0 1 0 1
0 1 2 | 0 0 0 0 0 2 0 1 | * * * * * * * * 5 * | 0 0 0 1 1
0 0 10 | 0 0 0 0 0 0 5 5 | * * * * * * * * * 1 | 0 1 0 0 1
----------+--------------------+----------------------+----------
♦ 10 5 0 | 5 5 10 0 5 0 0 0 | 1 5 5 0 0 0 1 0 0 0 | 1 * * * *
♦ 10 0 10 | 5 5 0 10 0 0 5 5 | 1 0 0 5 5 0 0 0 0 1 | * 1 * * *
♦ 2 2 2 | 1 0 2 2 1 2 1 0 | 0 1 0 1 0 2 0 1 0 0 | * * 5 * *
♦ 2 1 2 | 0 1 2 2 0 2 0 1 | 0 0 1 0 1 2 0 0 1 0 | * * * 5 *
♦ 0 5 10 | 0 0 0 0 5 10 5 5 | 0 0 0 0 0 0 1 5 5 1 | * * * * 1
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