Acronym | squaw, K-4.64, {8} || squap |
Name |
antitetrawedge, octagon - square-antiprismatic wedge, square gyrobicupolaic ring, {8} || squap, {4} || gyrated squacu |
Segmentochoron display | |
Circumradius | (1+sqrt(8))/sqrt(7) = 1.447009 |
Lace city in approx. ASCII-art |
x4x x4o o4x |
Face vector | 16, 30, 35, 11 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
xxo4oxx&#x → height(1,2) = height(2,3) = 1/sqrt(2) = 0.707107 height(1,3) = 1/sqrt(sqrt(2)) = 0.840896 o..4o.. | 4 * * | 2 2 2 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 | 1 1 2 1 0 .o.4.o. | * 8 * | 0 1 0 1 1 1 0 | 0 1 1 0 0 1 1 1 1 0 | 1 0 1 1 1 ..o4..o | * * 4 | 0 0 2 0 0 2 2 | 0 0 0 1 2 2 0 1 2 1 | 0 1 1 2 1 -----------+-------+---------------+---------------------+---------- x.. ... | 2 0 0 | 4 * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0 oo.4oo.&#x | 1 1 0 | * 8 * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0 o.o4o.o&#x | 1 0 1 | * * 8 * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 .x. ... | 0 2 0 | * * * 4 * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1 ... .x. | 0 2 0 | * * * * 4 * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 0 1 1 .oo4.oo&#x | 0 1 1 | * * * * * 8 * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1 ... ..x | 0 0 2 | * * * * * * 4 | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1 -----------+-------+---------------+---------------------+---------- x..4o.. | 4 0 0 | 4 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0 xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * 4 * * * * * * * * | 1 0 1 0 0 ... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 | * * 4 * * * * * * * | 1 0 0 1 0 x.o ...&#x | 2 0 1 | 1 0 2 0 0 0 0 | * * * 4 * * * * * * | 0 1 1 0 0 ... o.x&#x | 1 0 2 | 0 0 2 0 0 0 1 | * * * * 4 * * * * * | 0 1 0 1 0 ooo4ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 | * * * * * 8 * * * * | 0 0 1 1 0 .x.4.x. | 0 8 0 | 0 0 0 4 4 0 0 | * * * * * * 1 * * * | 1 0 0 0 1 .xo ...&#x | 0 2 1 | 0 0 0 1 0 2 0 | * * * * * * * 4 * * | 0 0 1 0 1 ... .xx&#x | 0 2 2 | 0 0 0 0 1 2 1 | * * * * * * * * 4 * | 0 0 0 1 1 ..o4..x | 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * * 1 | 0 1 0 0 1 -----------+-------+---------------+---------------------+---------- xx.4ox.&#x ♦ 4 8 0 | 4 8 0 4 4 0 0 | 1 4 4 0 0 0 1 0 0 0 | 1 * * * * x.o4o.x&#x ♦ 4 0 4 | 4 0 8 0 0 0 4 | 1 0 0 4 4 0 0 0 0 1 | * 1 * * * xxo ...&#x ♦ 2 2 1 | 1 2 2 1 0 2 0 | 0 1 0 1 0 2 0 1 0 0 | * * 4 * * ... oxx&#x ♦ 1 2 2 | 0 2 2 0 1 2 1 | 0 0 1 0 1 2 0 0 1 0 | * * * 4 * .xo4.xx&#x ♦ 0 8 4 | 0 0 0 4 4 8 4 | 0 0 0 0 0 0 1 4 4 1 | * * * * 1
os2xo8os&#x → height = sqrt[(4-sqrt(2))/8] = 0.568527
({8} || squap)
o.2o.8o. | 8 * | 2 2 0 0 | 1 1 2 0 2 0 | 2 0 2
demi( .o2.o8.o ) | * 8 | 0 2 2 2 | 0 2 1 1 2 3 | 1 1 3
--------------------+-----+----------+-------------+------
.. x. .. | 2 0 | 8 * * * | 1 0 1 0 1 0 | 2 0 1
demi( oo2oo8oo&#x ) | 1 1 | * 16 * * | 0 1 1 0 1 0 | 1 0 2
.s .2 .s | 0 2 | * * 8 * | 0 1 0 0 0 2 | 0 1 2
sefa( .. .o8.s ) | 0 2 | * * * 8 | 0 0 0 1 1 1 | 1 1 1
--------------------+-----+----------+-------------+------
.. x.8o. | 8 0 | 8 0 0 0 | 1 * * * * * | 2 0 0
os .2 os&#x | 1 2 | 0 2 1 0 | * 8 * * * * | 0 0 2
demi( .. xo ..&#x ) | 2 1 | 1 2 0 0 | * * 8 * * * | 1 0 1
.. .o8.s | 0 4 | 0 0 0 4 | * * * 2 * * | 1 1 0
sefa( .. xo8os&#x ) | 2 2 | 1 2 0 1 | * * * * 8 * | 1 0 1
sefa( .s2.o8.s ) | 0 3 | 0 0 2 1 | * * * * * 8 | 0 1 1
--------------------+-----+----------+-------------+------
.. xo8os&#x ♦ 8 4 | 8 8 0 4 | 1 0 4 1 4 0 | 2 * *
.s2.o8.s ♦ 0 8 | 0 0 8 8 | 0 0 0 2 0 8 | * 1 *
sefa( os2xo8os&#x ) ♦ 2 3 | 1 4 2 1 | 0 2 1 0 1 1 | * * 8
starting figure: ox xo8ox&#x
{4} || gyro squacu → height = sqrt[sqrt(8)-1]/2 = 0.676097
4 * * | 2 2 2 0 0 0 0 | 1 2 2 1 2 1 0 0 0 0 | 1 1 2 1 0
* 4 * | 0 2 0 2 2 0 0 | 0 1 0 2 2 0 1 2 1 0 | 1 0 1 2 1
* * 8 | 0 0 1 0 1 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
--------+---------------+---------------------+----------
2 0 0 | 4 * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
1 1 0 | * 8 * * * * * | 0 1 0 1 1 0 0 0 0 0 | 1 0 1 1 0
1 0 1 | * * 8 * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
0 2 0 | * * * 4 * * * | 0 0 0 1 0 0 1 1 0 0 | 1 0 0 1 1
0 1 1 | * * * * 8 * * | 0 0 0 0 1 0 0 1 1 0 | 0 0 1 1 1
0 0 2 | * * * * * 4 * | 0 0 1 0 0 0 0 0 1 1 | 0 1 1 0 1
0 0 2 | * * * * * * 4 | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
--------+---------------+---------------------+----------
4 0 0 | 4 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
2 1 0 | 1 2 0 0 0 0 0 | * 4 * * * * * * * * | 1 0 1 0 0
2 0 2 | 1 0 2 0 0 1 0 | * * 4 * * * * * * * | 0 1 1 0 0
1 2 0 | 0 2 0 1 0 0 0 | * * * 4 * * * * * * | 1 0 0 1 0
1 1 1 | 0 1 1 0 1 0 0 | * * * * 8 * * * * * | 0 0 1 1 0
1 0 2 | 0 0 2 0 0 0 1 | * * * * * 4 * * * * | 0 1 0 1 0
0 4 0 | 0 0 0 4 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
0 2 2 | 0 0 0 1 2 0 1 | * * * * * * * 4 * * | 0 0 0 1 1
0 1 2 | 0 0 0 0 2 1 0 | * * * * * * * * 4 * | 0 0 1 0 1
0 0 8 | 0 0 0 0 0 4 4 | * * * * * * * * * 1 | 0 1 0 0 1
--------+---------------+---------------------+----------
♦ 4 4 0 | 4 8 0 4 0 0 0 | 1 4 0 4 0 0 1 0 0 0 | 1 * * * *
♦ 4 0 8 | 4 0 8 0 0 4 4 | 1 0 4 0 0 4 0 0 0 1 | * 1 * * *
♦ 2 1 2 | 1 2 2 0 2 1 0 | 0 1 1 0 2 0 0 0 1 0 | * * 4 * *
♦ 1 2 2 | 0 2 2 1 2 0 1 | 0 0 0 1 2 1 0 1 0 0 | * * * 4 *
♦ 0 4 8 | 0 0 0 4 8 4 4 | 0 0 0 0 0 0 1 4 4 1 | * * * * 1
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