Acronym | traw, K-4.27 |
Name |
trigonal antitriwedge, hexagon - octahedral wedge, triangular gyrobicupolaic ring, {6} || oct, {3} || gyrated tricu, 1/6-luna of ico |
Segmentochoron display | |
Circumradius | 1 |
Lace city in approx. ASCII-art |
o3x x3o x3x |
Volume | 1/3 = 0.333333 |
Dihedral angles | |
Face vector | 12, 30, 27, 9 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
xxo3oxx&#x → all heights = sqrt(2/3) = 0.816497 o..3o.. | 3 * * | 2 2 2 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 | 1 1 2 1 0 .o.3.o. | * 6 * | 0 1 0 1 1 1 0 | 0 1 1 0 0 1 1 1 1 0 | 1 0 1 1 1 ..o3..o | * * 3 | 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 | 3 * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0 oo.3oo.&#x | 1 1 0 | * 6 * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0 o.o3o.o&#x | 1 0 1 | * * 6 * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 .x. ... | 0 2 0 | * * * 3 * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1 ... .x. | 0 2 0 | * * * * 3 * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 0 1 1 .oo3.oo&#x | 0 1 1 | * * * * * 6 * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1 ... ..x | 0 0 2 | * * * * * * 3 | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1 -----------+-------+---------------+---------------------+---------- x..3o.. | 3 0 0 | 3 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0 xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * 3 * * * * * * * * | 1 0 1 0 0 ... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 | * * 3 * * * * * * * | 1 0 0 1 0 x.o ...&#x | 2 0 1 | 1 0 2 0 0 0 0 | * * * 3 * * * * * * | 0 1 1 0 0 ... o.x&#x | 1 0 2 | 0 0 2 0 0 0 1 | * * * * 3 * * * * * | 0 1 0 1 0 ooo3ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 | * * * * * 6 * * * * | 0 0 1 1 0 .x.3.x. | 0 6 0 | 0 0 0 3 3 0 0 | * * * * * * 1 * * * | 1 0 0 0 1 .xo ...&#x | 0 2 1 | 0 0 0 1 0 2 0 | * * * * * * * 3 * * | 0 0 1 0 1 ... .xx&#x | 0 2 2 | 0 0 0 0 1 2 1 | * * * * * * * * 3 * | 0 0 0 1 1 ..o3..x | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * 1 | 0 1 0 0 1 -----------+-------+---------------+---------------------+---------- xx.3ox.&#x ♦ 3 6 0 | 3 6 0 3 3 0 0 | 1 3 3 0 0 0 1 0 0 0 | 1 * * * * x.o3o.x&#x ♦ 3 0 3 | 3 0 6 0 0 0 3 | 1 0 0 3 3 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 | * * 3 * * ... oxx&#x ♦ 1 2 2 | 0 2 2 0 1 2 1 | 0 0 1 0 1 2 0 0 1 0 | * * * 3 * .xo3.xx&#x ♦ 0 6 3 | 0 0 0 3 3 6 3 | 0 0 0 0 0 0 1 3 3 1 | * * * * 1
os2xo6os&#x → height = 1/sqrt(2) = 0.707107
({6} || oct)
o.2o.6o. | 6 * | 2 2 0 0 | 1 1 2 0 2 0 | 2 0 2
demi( .o2.o6.o ) | * 6 | 0 2 2 2 | 0 2 1 1 2 3 | 1 1 3
--------------------+-----+----------+-------------+------
.. x. .. | 2 0 | 6 * * * | 1 0 1 0 1 0 | 2 0 1
demi( oo2oo6oo&#x ) | 1 1 | * 12 * * | 0 1 1 0 1 0 | 1 0 2
.s .2 .s | 0 2 | * * 6 * | 0 1 0 0 0 2 | 0 1 2
sefa( .. .o6.s ) | 0 2 | * * * 6 | 0 0 0 1 1 1 | 1 1 1
--------------------+-----+----------+-------------+------
.. x.6o. | 6 0 | 6 0 0 0 | 1 * * * * * | 2 0 0
os .2 os&#x | 1 2 | 0 2 1 0 | * 6 * * * * | 0 0 2
demi( .. xo ..&#x ) | 2 1 | 1 2 0 0 | * * 6 * * * | 1 0 1
.. .o6.s | 0 3 | 0 0 0 3 | * * * 2 * * | 1 1 0
sefa( .. xo6os&#x ) | 2 2 | 1 2 0 1 | * * * * 6 * | 1 0 1
sefa( .s2.o6.s ) | 0 3 | 0 0 2 1 | * * * * * 6 | 0 1 1
--------------------+-----+----------+-------------+------
.. xo6os&#x ♦ 6 3 | 6 6 0 3 | 1 0 3 1 3 0 | 2 * *
.s2.o6.s ♦ 0 6 | 0 0 6 6 | 0 0 0 2 0 6 | * 1 *
sefa( os2xo6os&#x ) ♦ 2 3 | 1 4 2 1 | 0 2 1 0 1 1 | * * 6
starting figure: ox xo6ox&#x
{3} || gyro tricu → height = 1/sqrt(2) = 0.707107
3 * * | 2 2 2 0 0 0 0 | 1 2 2 1 2 1 0 0 0 0 | 1 1 2 1 0
* 3 * | 0 2 0 2 2 0 0 | 0 1 0 2 2 0 1 2 1 0 | 1 0 1 2 1
* * 6 | 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 | 3 * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
1 1 0 | * 6 * * * * * | 0 1 0 1 1 0 0 0 0 0 | 1 0 1 1 0
1 0 1 | * * 6 * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
0 2 0 | * * * 3 * * * | 0 0 0 1 0 0 1 1 0 0 | 1 0 0 1 1
0 1 1 | * * * * 6 * * | 0 0 0 0 1 0 0 1 1 0 | 0 0 1 1 1
0 0 2 | * * * * * 3 * | 0 0 1 0 0 0 0 0 1 1 | 0 1 1 0 1
0 0 2 | * * * * * * 3 | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
--------+---------------+---------------------+----------
3 0 0 | 3 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
2 1 0 | 1 2 0 0 0 0 0 | * 3 * * * * * * * * | 1 0 1 0 0
2 0 2 | 1 0 2 0 0 1 0 | * * 3 * * * * * * * | 0 1 1 0 0
1 2 0 | 0 2 0 1 0 0 0 | * * * 3 * * * * * * | 1 0 0 1 0
1 1 1 | 0 1 1 0 1 0 0 | * * * * 6 * * * * * | 0 0 1 1 0
1 0 2 | 0 0 2 0 0 0 1 | * * * * * 3 * * * * | 0 1 0 1 0
0 3 0 | 0 0 0 3 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
0 2 2 | 0 0 0 1 2 0 1 | * * * * * * * 3 * * | 0 0 0 1 1
0 1 2 | 0 0 0 0 2 1 0 | * * * * * * * * 3 * | 0 0 1 0 1
0 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * 1 | 0 1 0 0 1
--------+---------------+---------------------+----------
♦ 3 3 0 | 3 6 0 3 0 0 0 | 1 3 0 3 0 0 1 0 0 0 | 1 * * * *
♦ 3 0 6 | 3 0 6 0 0 3 3 | 1 0 3 0 0 3 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 | * * 3 * *
♦ 1 2 2 | 0 2 2 1 2 0 1 | 0 0 0 1 2 1 0 1 0 0 | * * * 3 *
♦ 0 3 6 | 0 0 0 3 6 3 3 | 0 0 0 0 0 0 1 3 3 1 | * * * * 1
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