Acronym | thiddip, K-4.47 |
Name |
triangle - hexagon duoprism, hexagon - hip wedge |
© © | |
Circumradius | sqrt(4/3) = 1.154701 |
Volume | 9/8 = 1.125 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 18, 36, 27, 9 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o x6o . . . . | 18 | 2 2 | 1 4 1 | 2 2 --------+----+-------+--------+---- x . . . | 2 | 18 * | 1 2 0 | 2 1 . . x . | 2 | * 18 | 0 2 1 | 1 2 --------+----+-------+--------+---- x3o . . | 3 | 3 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 18 * | 1 1 . . x6o | 6 | 0 6 | * * 3 | 0 2 --------+----+-------+--------+---- x3o x . ♦ 6 | 6 3 | 2 3 0 | 6 * x . x6o ♦ 12 | 6 12 | 0 6 2 | * 3
x3o x6/5o . . . . | 18 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 18 * | 1 2 0 | 2 1 . . x . | 2 | * 18 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x3o . . | 3 | 3 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 18 * | 1 1 . . x6/5o | 6 | 0 6 | * * 3 | 0 2 ----------+----+-------+--------+---- x3o x . ♦ 6 | 6 3 | 2 3 0 | 6 * x . x6/5o ♦ 12 | 6 12 | 0 6 2 | * 3
x3/2o x6o . . . . | 18 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 18 * | 1 2 0 | 2 1 . . x . | 2 | * 18 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x3/2o . . | 3 | 3 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 18 * | 1 1 . . x6o | 6 | 0 6 | * * 3 | 0 2 ----------+----+-------+--------+---- x3/2o x . ♦ 6 | 6 3 | 2 3 0 | 6 * x . x6o ♦ 12 | 6 12 | 0 6 2 | * 3
x3/2o x6/5o . . . . | 18 | 2 2 | 1 4 1 | 2 2 ------------+----+-------+--------+---- x . . . | 2 | 18 * | 1 2 0 | 2 1 . . x . | 2 | * 18 | 0 2 1 | 1 2 ------------+----+-------+--------+---- x3/2o . . | 3 | 3 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 18 * | 1 1 . . x6/5o | 6 | 0 6 | * * 3 | 0 2 ------------+----+-------+--------+---- x3/2o x . ♦ 6 | 6 3 | 2 3 0 | 6 * x . x6/5o ♦ 12 | 6 12 | 0 6 2 | * 3
x3x x3o . . . . | 18 | 1 1 2 | 1 2 2 1 | 2 1 1 --------+----+--------+---------+------ x . . . | 2 | 9 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 9 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 18 | 0 1 1 1 | 1 1 1 --------+----+--------+---------+------ x3x . . | 6 | 3 3 0 | 3 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 9 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 9 * | 1 0 1 . . x3o | 3 | 0 0 3 | * * * 6 | 0 1 1 --------+----+--------+---------+------ x3x x . ♦ 12 | 6 6 6 | 2 3 3 0 | 3 * * x . x3o ♦ 6 | 3 0 6 | 0 3 0 2 | * 3 * . x x3o ♦ 6 | 0 3 6 | 0 0 3 2 | * * 3 snubbed forms: s3s2x3o
x3x x3/2o . . . . | 18 | 1 1 2 | 1 2 2 1 | 2 1 1 ----------+----+--------+---------+------ x . . . | 2 | 9 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 9 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 18 | 0 1 1 1 | 1 1 1 ----------+----+--------+---------+------ x3x . . | 6 | 3 3 0 | 3 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 9 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 9 * | 1 0 1 . . x3/2o | 3 | 0 0 3 | * * * 6 | 0 1 1 ----------+----+--------+---------+------ x3x x . ♦ 12 | 6 6 6 | 2 3 3 0 | 3 * * x . x3/2o ♦ 6 | 3 0 6 | 0 3 0 2 | * 3 * . x x3/2o ♦ 6 | 0 3 6 | 0 0 3 2 | * * 3
s3s x3x demi( . . ) . . | 18 | 1 1 2 | 1 1 2 2 | 1 1 2 ----------------+----+--------+---------+------ demi( . . ) x . | 2 | 9 * * | 1 0 2 0 | 1 0 2 demi( . . ) . x | 2 | * 9 * | 1 0 0 2 | 0 1 2 sefa( s3s ) . . | 2 | * * 18 | 0 1 1 1 | 1 1 1 ----------------+----+--------+---------+------ demi( . . ) x3x | 6 | 3 3 0 | 3 * * * | 0 0 2 s3s . . | 3 | 0 0 3 | * 6 * * | 1 1 0 sefa( s3s ) x . | 4 | 2 0 2 | * * 9 * | 1 0 1 sefa( s3s ) . x | 4 | 0 2 2 | * * * 9 | 0 1 1 ----------------+----+--------+---------+------ s3s x . ♦ 6 | 3 0 6 | 0 2 3 0 | 3 * * s3s . x ♦ 6 | 0 3 6 | 0 2 0 3 | * 3 * sefa( s3s ) x3x ♦ 12 | 6 6 6 | 2 0 3 3 | * * 3
s3s2x3x demi( . . . . ) | 18 | 1 1 2 | 1 1 2 2 | 1 1 2 ----------------+----+--------+---------+------ demi( . . x . ) | 2 | 9 * * | 1 0 2 0 | 1 0 2 demi( . . . x ) | 2 | * 9 * | 1 0 0 2 | 0 1 2 sefa( s3s . . ) | 2 | * * 18 | 0 1 1 1 | 1 1 1 ----------------+----+--------+---------+------ demi( . . x3x ) | 6 | 3 3 0 | 3 * * * | 0 0 2 s3s . . | 3 | 0 0 3 | * 6 * * | 1 1 0 sefa( s3s2x . ) | 4 | 2 0 2 | * * 9 * | 1 0 1 sefa( s3s 2 x ) | 4 | 0 2 2 | * * * 9 | 0 1 1 ----------------+----+--------+---------+------ s3s2x . ♦ 6 | 3 0 6 | 0 2 3 0 | 3 * * s3s 2 x ♦ 6 | 0 3 6 | 0 2 0 3 | * 3 * sefa( s3s2x3x ) ♦ 12 | 6 6 6 | 2 0 3 3 | * * 3 starting figure: x3x x3x
ox xx3xx&#x → height = sqrt(3)/2 = 0.866025
({6} || hip)
o. o.3o. | 6 * | 1 1 2 0 0 0 | 1 1 2 2 0 0 0 | 1 1 2 0
.o .o3.o | * 12 | 0 0 1 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
------------+------+--------------+---------------+--------
.. x. .. | 2 0 | 3 * * * * * | 1 0 2 0 0 0 0 | 1 0 2 0
.. .. x. | 2 0 | * 3 * * * * | 1 0 0 2 0 0 0 | 0 1 2 0
oo oo3oo&#x | 1 1 | * * 12 * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.x .. .. | 0 2 | * * * 6 * * | 0 1 0 0 1 1 0 | 1 1 0 1
.. .x .. | 0 2 | * * * * 6 * | 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x | 0 2 | * * * * * 6 | 0 0 0 1 0 1 1 | 0 1 1 1
------------+------+--------------+---------------+--------
.. x.3x. | 6 0 | 3 3 0 0 0 0 | 1 * * * * * * | 0 0 2 0
ox .. ..&#x | 1 2 | 0 0 2 1 0 0 | * 6 * * * * * | 1 1 0 0
.. xx ..&#x | 2 2 | 1 0 2 0 1 0 | * * 6 * * * * | 1 0 1 0
.. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * 6 * * * | 0 1 1 0
.x .x .. | 0 4 | 0 0 0 2 2 0 | * * * * 3 * * | 1 0 0 1
.x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * 3 * | 0 1 0 1
.. .x3.x | 0 6 | 0 0 0 0 3 3 | * * * * * * 2 | 0 0 1 1
------------+------+--------------+---------------+--------
ox xx ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 2 2 0 1 0 0 | 3 * * *
ox .. xx&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 2 0 2 0 1 0 | * 3 * *
.. xx3xx&#x ♦ 6 6 | 3 3 6 0 3 3 | 1 0 3 3 0 0 1 | * * 2 *
.x .x3.x ♦ 0 12 | 0 0 0 6 6 6 | 0 0 0 0 3 3 2 | * * * 1
xux xxx3ooo&#xt → both heights = sqrt(3)/2 = 0.866025 (trip || pseudo (x,u)-trip || trip) o.. o..3o.. | 6 * * | 1 2 1 0 0 0 0 | 2 1 2 1 0 0 0 0 | 1 1 2 0 0 .o. .o.3.o. | * 6 * | 0 0 1 2 1 0 0 | 0 0 2 1 1 2 0 0 | 0 1 2 1 0 ..o ..o3..o | * * 6 | 0 0 0 0 1 1 2 | 0 0 0 1 0 2 2 1 | 0 0 2 1 1 ----------------+-------+---------------+-----------------+---------- x.. ... ... | 2 0 0 | 3 * * * * * * | 2 0 0 1 0 0 0 0 | 1 0 2 0 0 ... x.. ... | 2 0 0 | * 6 * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0 oo. oo.3oo.&#x | 1 1 0 | * * 6 * * * * | 0 0 2 1 0 0 0 0 | 0 1 2 0 0 ... .x. ... | 0 2 0 | * * * 6 * * * | 0 0 1 0 1 1 0 0 | 0 1 1 1 0 .oo .oo3.oo&#x | 0 1 1 | * * * * 6 * * | 0 0 0 1 0 2 0 0 | 0 0 2 1 0 ..x ... ... | 0 0 2 | * * * * * 3 * | 0 0 0 1 0 0 2 0 | 0 0 2 0 1 ... ..x ... | 0 0 2 | * * * * * * 6 | 0 0 0 0 0 1 1 1 | 0 0 1 1 1 ----------------+-------+---------------+-----------------+---------- x.. x.. ... | 4 0 0 | 2 2 0 0 0 0 0 | 3 * * * * * * * | 1 0 1 0 0 ... x..3o.. | 3 0 0 | 0 3 0 0 0 0 0 | * 2 * * * * * * | 1 1 0 0 0 ... xx. ...&#x | 2 2 0 | 0 1 2 1 0 0 0 | * * 6 * * * * * | 0 1 1 0 0 xux ... ...&#xt | 2 2 2 | 1 0 2 0 2 1 0 | * * * 3 * * * * | 0 0 2 0 0 ... .x.3.o. | 0 3 0 | 0 0 0 3 0 0 0 | * * * * 2 * * * | 0 1 0 1 0 ... .xx ...&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * * 6 * * | 0 0 1 1 0 ..x ..x ... | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * 3 * | 0 0 1 0 1 ... ..x3..o | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * 2 | 0 0 0 1 1 ----------------+-------+---------------+-----------------+---------- x.. x..3o.. ♦ 6 0 0 | 3 6 0 0 0 0 0 | 3 2 0 0 0 0 0 0 | 1 * * * * ... xx.3oo.&#x ♦ 3 3 0 | 0 3 3 3 0 0 0 | 0 1 3 0 1 0 0 0 | * 2 * * * xux xxx ...&#xt ♦ 4 4 4 | 2 2 4 2 4 2 2 | 1 0 2 2 0 2 1 0 | * * 3 * * ... .xx3.oo&#x ♦ 0 3 3 | 0 0 0 3 3 0 3 | 0 0 0 0 1 3 0 1 | * * * 2 * ..x ..x3..o ♦ 0 0 6 | 0 0 0 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * 1
or o.. o..3o.. & | 12 * | 1 2 1 0 | 2 1 2 1 0 | 1 1 2 .o. .o.3.o. | * 6 | 0 0 2 2 | 0 0 4 1 1 | 0 2 2 -------------------+------+-----------+------------+------ x.. ... ... & | 2 0 | 6 * * * | 2 0 0 1 0 | 1 0 2 ... x.. ... & | 2 0 | * 12 * * | 1 1 1 0 0 | 1 1 1 oo. oo.3oo.&#x & | 1 1 | * * 12 * | 0 0 2 1 0 | 0 1 2 ... .x. ... | 0 2 | * * * 6 | 0 0 2 0 1 | 0 2 1 -------------------+------+-----------+------------+------ x.. x.. ... & | 4 0 | 2 2 0 0 | 6 * * * * | 1 0 1 ... x..3o.. & | 3 0 | 0 3 0 0 | * 4 * * * | 1 1 0 ... xx. ...&#x & | 2 2 | 0 1 2 1 | * * 12 * * | 0 1 1 xux ... ...&#xt | 4 2 | 2 0 4 0 | * * * 3 * | 0 0 2 ... .x.3.o. | 0 3 | 0 0 0 3 | * * * * 2 | 0 2 0 -------------------+------+-----------+------------+------ x.. x..3o.. & ♦ 6 0 | 3 6 0 0 | 3 2 0 0 0 | 2 * * ... xx.3oo.&#x & ♦ 3 3 | 0 3 3 3 | 0 1 3 0 1 | * 4 * xux xxx ...&#xt ♦ 8 4 | 4 4 8 2 | 2 0 4 2 0 | * * 3
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