Acronym | pecuf, K-4.154 |
Name |
pentagonal cupofastegium, decagon - pentagon-prismatic wedge, pentagonal orthobicupolaic ring, {10} || pip, {5} || pecu, 2/5-luna of stawros |
Segmentochoron display | |
Circumradius | 3+sqrt(5) = 5.236068 |
Lace city in approx. ASCII-art |
x5o x5o x5x |
Dihedral angles |
|
Face vector | 20, 45, 38, 13 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
xx5ox xo&#x → height = sqrt[(5-2 sqrt(5))/20] = 0.162460
(pip || {10})
o.5o. o. | 10 * | 2 1 2 0 0 | 1 2 2 1 2 0 | 1 1 2 1
.o5.o .o | * 10 | 0 0 2 1 1 | 0 0 2 2 1 1 | 0 2 1 1
------------+-------+-------------+----------------+--------
x. .. .. | 2 0 | 10 * * * * | 1 1 1 0 0 0 | 1 1 1 0
.. .. x. | 2 0 | * 5 * * * | 0 2 0 0 2 0 | 1 0 2 1
oo5oo oo&#x | 1 1 | * * 20 * * | 0 0 1 1 1 0 | 0 1 1 1
.x .. .. | 0 2 | * * * 5 * | 0 0 2 0 0 1 | 0 2 1 0
.. .x .. | 0 2 | * * * * 5 | 0 0 0 2 0 1 | 0 2 0 1
------------+-------+-------------+----------------+--------
x.5o. .. | 5 0 | 5 0 0 0 0 | 2 * * * * * | 1 1 0 0
x. .. x. | 4 0 | 2 2 0 0 0 | * 5 * * * * | 1 0 1 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 | * * 10 * * * | 0 1 1 0
.. ox ..&#x | 1 2 | 0 0 2 0 1 | * * * 10 * * | 0 1 0 1
.. .. xo&#x | 2 1 | 0 1 2 0 0 | * * * * 10 * | 0 0 1 1
.x5.x .. | 0 10 | 0 0 0 5 5 | * * * * * 1 | 0 2 0 0
------------+-------+-------------+----------------+--------
x.5o. x. ♦ 10 0 | 10 5 0 0 0 | 2 5 0 0 0 0 | 1 * * *
xx5ox ..&#x ♦ 5 10 | 5 0 10 5 5 | 1 0 5 5 0 1 | * 2 * *
xx .. xo&#x ♦ 4 2 | 2 2 4 1 0 | 0 1 2 0 2 0 | * * 5 *
.. ox xo&#x ♦ 2 2 | 0 1 4 0 1 | 0 0 0 2 2 0 | * * * 5
xxx5oxo&#x → height(1,2) = height(2,3) = sqrt((5-sqrt(5))/10) = 0.525731 height(1,3) = 1 o..5o.. | 5 * * | 2 2 1 0 0 0 0 | 1 2 1 2 2 0 0 0 0 | 1 1 2 1 0 .o.5.o. | * 10 * | 0 1 0 1 1 1 0 | 0 1 1 0 1 1 1 1 0 | 1 0 1 1 1 ..o5..o | * * 5 | 0 0 1 0 0 2 2 | 0 0 0 2 2 0 2 1 1 | 0 1 2 1 1 -----------+--------+-----------------+--------------------+---------- x.. ... | 2 0 0 | 5 * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 oo.5oo.&#x | 1 1 0 | * 10 * * * * * | 0 1 1 0 1 0 0 0 0 | 1 0 1 1 0 o.o5o.o&#x | 1 0 1 | * * 5 * * * * | 0 0 0 2 2 0 0 0 0 | 0 1 2 1 0 .x. ... | 0 2 0 | * * * 5 * * * | 0 1 0 0 0 1 1 0 0 | 1 0 1 0 1 ... .x. | 0 2 0 | * * * * 5 * * | 0 0 1 0 0 1 0 1 0 | 1 0 0 1 1 .oo5.oo | 0 1 1 | * * * * * 10 * | 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 1 0 1 | 0 1 1 0 1 -----------+--------+-----------------+--------------------+---------- x..5o.. | 5 0 0 | 5 0 0 0 0 0 0 | 1 * * * * * * * * | 1 1 0 0 0 xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * 5 * * * * * * * | 1 0 1 0 0 ... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 | * * 5 * * * * * * | 1 0 0 1 0 x.x ...&#x | 2 0 2 | 1 0 2 0 0 0 1 | * * * 5 * * * * * | 0 1 1 0 0 ooo5ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 | * * * * 10 * * * * | 0 0 1 1 0 .x.5.x. | 0 10 0 | 0 0 0 5 5 0 0 | * * * * * 1 * * * | 1 0 0 0 1 .xx ...&#x | 0 2 2 | 0 0 0 1 0 2 1 | * * * * * * 5 * * | 0 0 1 0 1 ... .xo&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * 5 * | 0 0 0 1 1 ..x5..o | 0 0 5 | 0 0 0 0 0 0 5 | * * * * * * * * 1 | 0 1 0 0 1 -----------+--------+-----------------+--------------------+---------- xx.5ox.&#x ♦ 5 10 0 | 5 10 0 5 5 0 0 | 1 5 5 0 0 1 0 0 0 | 1 * * * * x.x5o.o&#x ♦ 5 0 5 | 5 0 5 0 0 0 5 | 1 0 0 5 0 0 0 0 1 | * 1 * * * xxx ...&#x ♦ 2 2 2 | 1 2 2 1 0 2 1 | 0 1 0 1 2 0 1 0 0 | * * 5 * * ... oxo&#x ♦ 1 2 1 | 0 2 1 0 1 2 0 | 0 0 1 0 2 0 0 1 0 | * * * 5 * .xx5.oo&#x ♦ 0 10 5 | 0 0 0 5 5 10 5 | 0 0 0 0 0 1 5 5 1 | * * * * 1
or o..5o.. & | 10 * | 2 2 1 0 0 | 1 2 1 2 2 0 | 1 1 2 1 .o.5.o. | * 10 | 0 2 0 1 1 | 0 2 2 0 1 1 | 2 0 1 1 --------------+-------+-------------+----------------+-------- x.. ... & | 2 0 | 10 * * * * | 1 1 0 1 0 0 | 1 1 1 0 oo.5oo.&#x & | 1 1 | * 20 * * * | 0 1 1 0 1 0 | 1 0 1 1 o.o5o.o&#x | 2 0 | * * 5 * * | 0 0 0 2 2 0 | 0 1 2 1 .x. ... | 0 2 | * * * 5 * | 0 2 0 0 0 1 | 2 0 1 0 ... .x. | 0 2 | * * * * 5 | 0 0 2 0 0 1 | 2 0 0 1 --------------+-------+-------------+----------------+-------- x..5o.. & | 5 0 | 5 0 0 0 0 | 2 * * * * * | 1 1 0 0 xx. ...&#x & | 2 2 | 1 2 0 1 0 | * 10 * * * * | 1 0 1 0 ... ox.&#x & | 1 2 | 0 2 0 0 1 | * * 10 * * * | 1 0 0 1 x.x ...&#x | 4 0 | 2 0 2 0 0 | * * * 5 * * | 0 1 1 0 ooo5ooo&#x | 2 1 | 0 2 1 0 0 | * * * * 10 * | 0 0 1 1 .x.5.x. | 0 10 | 0 0 0 5 5 | * * * * * 1 | 2 0 0 0 --------------+-------+-------------+----------------+-------- xx.5ox.&#x & ♦ 5 10 | 5 10 0 5 5 | 1 5 5 0 0 1 | 2 * * * x.x5o.o&#x ♦ 10 0 | 10 0 5 0 0 | 2 0 0 5 0 0 | * 1 * * xxx ...&#x ♦ 4 2 | 2 4 2 1 0 | 0 2 0 1 2 0 | * * 5 * ... oxo&#x ♦ 2 2 | 0 4 1 0 1 | 0 0 2 0 2 0 | * * * 5
{5} || pecu → height = (sqrt(5)-1)/4 = 0.309017
o..5o.. | 5 * * | 2 2 1 0 0 0 0 | 1 2 1 2 2 0 0 0 0 | 1 1 2 1 0
.o.5.o. | * 10 * | 0 1 0 1 1 1 0 | 0 1 1 0 1 1 1 1 0 | 1 0 1 1 1
..o5..o | * * 5 | 0 0 1 0 0 2 2 | 0 0 0 2 2 0 2 1 1 | 0 1 2 1 1
-----------+--------+-----------------+--------------------+----------
x.. ... | 2 0 0 | 5 * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
oo.5oo.&#x | 1 1 0 | * 10 * * * * * | 0 1 1 0 1 0 0 0 0 | 1 0 1 1 0
o.o5o.o&#x | 1 0 1 | * * 5 * * * * | 0 0 0 2 2 0 0 0 0 | 0 1 2 1 0
.x. ... | 0 2 0 | * * * 5 * * * | 0 1 0 0 0 1 1 0 0 | 1 0 1 0 1
... .x. | 0 2 0 | * * * * 5 * * | 0 0 1 0 0 1 0 1 0 | 1 0 0 1 1
.oo5.oo | 0 1 1 | * * * * * 10 * | 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 1 0 1 | 0 1 1 0 1
-----------+--------+-----------------+--------------------+----------
x..5o.. | 5 0 0 | 5 0 0 0 0 0 0 | 1 * * * * * * * * | 1 1 0 0 0
xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * 5 * * * * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 | * * 5 * * * * * * | 1 0 0 1 0
x.x ...&#x | 2 0 2 | 1 0 2 0 0 0 1 | * * * 5 * * * * * | 0 1 1 0 0
ooo5ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 | * * * * 10 * * * * | 0 0 1 1 0
.x.5.x. | 0 10 0 | 0 0 0 5 5 0 0 | * * * * * 1 * * * | 1 0 0 0 1
.xx ...&#x | 0 2 2 | 0 0 0 1 0 2 1 | * * * * * * 5 * * | 0 0 1 0 1
... .xo&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * 5 * | 0 0 0 1 1
..x5..o | 0 0 5 | 0 0 0 0 0 0 5 | * * * * * * * * 1 | 0 1 0 0 1
-----------+--------+-----------------+--------------------+----------
xx.5ox.&#x ♦ 5 10 0 | 5 10 0 5 5 0 0 | 1 5 5 0 0 1 0 0 0 | 1 * * * *
x.x5o.o&#x ♦ 5 0 5 | 5 0 5 0 0 0 5 | 1 0 0 5 0 0 0 0 1 | * 1 * * *
xxx ...&#x ♦ 2 2 2 | 1 2 2 1 0 2 1 | 0 1 0 1 2 0 1 0 0 | * * 5 * *
... oxo&#x ♦ 1 2 1 | 0 2 1 0 1 2 0 | 0 0 1 0 2 0 0 1 0 | * * * 5 *
.xx5.oo&#x ♦ 0 10 5 | 0 0 0 5 5 10 5 | 0 0 0 0 0 1 5 5 1 | * * * * 1
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