Acronym | tedrix |
Name |
tridiminished rectified hexateron, square triorthowedge, lace simplex of 3 mutually orthogonal squares |
Circumradius | sqrt(2/3) = 0.816497 |
Lace city in approx. ASCII-art |
T T=tet T 4 4=square |
x x o x o x o x x | |
Face vector | 12, 36, 47, 30, 9 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
xxo2xox2oxx&#x → all 3 mutual heights = 1/sqrt(2) = 0.707107
({4} || ortho tepe → height = sqrt(3/8) = 0.612372)
o..2o..2o.. | 4 * * | 1 1 2 2 0 0 0 0 0 | 1 2 2 1 2 2 1 2 0 0 0 0 0 | 2 1 1 2 1 1 2 2 1 0 0 0 | 1 1 2 1 1 0
.o.2.o.2.o. | * 4 * | 0 0 2 0 1 1 2 0 0 | 0 2 1 2 0 0 0 2 1 2 1 2 0 | 1 2 1 0 0 0 2 1 2 1 2 1 | 1 0 1 2 1 1
..o2..o2..o | * * 4 | 0 0 0 2 0 0 2 1 1 | 0 0 0 0 1 2 2 2 0 1 2 2 1 | 0 0 0 1 1 2 1 2 2 1 1 2 | 0 1 1 1 2 1
---------------+-------+-------------------+---------------------------+-------------------------+------------
x.. ... ... | 2 0 0 | 2 * * * * * * * * | 1 2 0 0 2 0 0 0 0 0 0 0 0 | 2 1 0 2 1 0 2 0 0 0 0 0 | 1 1 2 1 0 0
... x.. ... | 2 0 0 | * 2 * * * * * * * | 1 0 2 0 0 2 0 0 0 0 0 0 0 | 2 0 1 2 0 1 0 2 0 0 0 0 | 1 1 2 0 1 0
oo.2oo.2oo.&#x | 1 1 0 | * * 8 * * * * * * | 0 1 1 1 0 0 0 1 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 | 1 0 1 1 1 0
o.o2o.o2o.o&#x | 1 0 1 | * * * 8 * * * * * | 0 0 0 0 1 1 1 1 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 | 0 1 1 1 1 0
.x. ... ... | 0 2 0 | * * * * 2 * * * * | 0 2 0 0 0 0 0 0 1 2 0 0 0 | 1 2 0 0 0 0 2 0 0 1 2 0 | 1 0 1 2 0 1
... ... .x. | 0 2 0 | * * * * * 2 * * * | 0 0 0 2 0 0 0 0 1 0 0 2 0 | 0 2 1 0 0 0 0 0 2 0 2 1 | 1 0 0 2 1 1
.oo2.oo2.oo&#x | 0 1 1 | * * * * * * 8 * * | 0 0 0 0 0 0 0 1 0 1 1 1 0 | 0 0 0 0 0 0 1 1 1 1 1 1 | 0 0 1 1 1 1
... ..x ... | 0 0 2 | * * * * * * * 2 * | 0 0 0 0 0 2 0 0 0 0 2 0 1 | 0 0 0 1 0 2 0 2 0 1 0 2 | 0 1 1 0 2 1
... ... ..x | 0 0 2 | * * * * * * * * 2 | 0 0 0 0 0 0 2 0 0 0 0 2 1 | 0 0 0 0 1 2 0 0 2 0 1 2 | 0 1 0 1 2 1
---------------+-------+-------------------+---------------------------+-------------------------+------------
x.. x.. ... | 4 0 0 | 2 2 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * | 2 0 0 2 0 0 0 0 0 0 0 0 | 1 1 2 0 0 0
xx. ... ...&#x | 2 2 0 | 1 0 2 0 1 0 0 0 0 | * 4 * * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 1 0 0
... xo. ...&#x | 2 1 0 | 0 1 2 0 0 0 0 0 0 | * * 4 * * * * * * * * * * | 1 0 1 0 0 0 0 1 0 0 0 0 | 1 0 1 0 1 0
... ... ox.&#x | 1 2 0 | 0 0 2 0 0 1 0 0 0 | * * * 4 * * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 | 1 0 0 1 1 0
x.o ... ...&#x | 2 0 1 | 1 0 0 2 0 0 0 0 0 | * * * * 4 * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 | 0 1 1 1 0 0
... x.x ...&#x | 2 0 2 | 0 1 0 2 0 0 0 1 0 | * * * * * 4 * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 1 0 1 0
... ... o.x&#x | 1 0 2 | 0 0 0 2 0 0 0 0 1 | * * * * * * 4 * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 0 | 0 1 0 1 1 0
ooo2ooo2ooo&#x | 1 1 1 | 0 0 1 1 0 0 1 0 0 | * * * * * * * 8 * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 1 1 1 0
.x. ... .x. | 0 4 0 | 0 0 0 0 2 2 0 0 0 | * * * * * * * * 1 * * * * | 0 2 0 0 0 0 0 0 0 0 2 0 | 1 0 0 2 0 1
.xo ... ...&#x | 0 2 1 | 0 0 0 0 1 0 2 0 0 | * * * * * * * * * 4 * * * | 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 1 1 0 1
... .ox ...&#x | 0 1 2 | 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 1 0 1 0 1 | 0 0 1 0 1 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 1 1 1
... ..x ..x | 0 0 4 | 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * 1 | 0 0 0 0 0 2 0 0 0 0 0 2 | 0 1 0 0 2 1
---------------+-------+-------------------+---------------------------+-------------------------+------------
xx. xo. ...&#x ♦ 4 2 0 | 2 2 4 0 1 0 0 0 0 | 1 2 2 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * | 1 0 1 0 0 0
xx. ... ox.&#x ♦ 2 4 0 | 1 0 4 0 2 2 0 0 0 | 0 2 0 2 0 0 0 0 1 0 0 0 0 | * 2 * * * * * * * * * * | 1 0 0 1 0 0
... xo. ox.&#x ♦ 2 2 0 | 0 1 4 0 0 1 0 0 0 | 0 0 2 2 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * | 1 0 0 0 1 0
x.o x.x ...&#x ♦ 4 0 2 | 2 2 0 4 0 0 0 1 0 | 1 0 0 0 2 2 0 0 0 0 0 0 0 | * * * 2 * * * * * * * * | 0 1 1 0 0 0
x.o ... o.x&#x ♦ 2 0 2 | 1 0 0 4 0 0 0 0 1 | 0 0 0 0 2 0 2 0 0 0 0 0 0 | * * * * 2 * * * * * * * | 0 1 0 1 0 0
... x.x o.x&#x ♦ 2 0 4 | 0 1 0 4 0 0 0 2 2 | 0 0 0 0 0 2 2 0 0 0 0 0 1 | * * * * * 2 * * * * * * | 0 1 0 0 1 0
xxo ... ...&#x ♦ 2 2 1 | 1 0 2 2 1 0 2 0 0 | 0 1 0 0 1 0 0 2 0 1 0 0 0 | * * * * * * 4 * * * * * | 0 0 1 1 0 0
... xox ...&#x ♦ 2 1 2 | 0 1 2 2 0 0 2 1 0 | 0 0 1 0 0 1 0 2 0 0 1 0 0 | * * * * * * * 4 * * * * | 0 0 1 0 1 0
... ... oxx&#x ♦ 1 2 2 | 0 0 2 2 0 1 2 0 1 | 0 0 0 1 0 0 1 2 0 0 0 1 0 | * * * * * * * * 4 * * * | 0 0 0 1 1 0
.xo .ox ...&#x ♦ 0 2 2 | 0 0 0 0 1 0 4 1 0 | 0 0 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * * 2 * * | 0 0 1 0 0 1
.xo ... .xx&#x ♦ 0 4 2 | 0 0 0 0 2 2 4 0 1 | 0 0 0 0 0 0 0 0 1 2 0 2 0 | * * * * * * * * * * 2 * | 0 0 0 1 0 1
... .ox .xx&#x ♦ 0 2 4 | 0 0 0 0 0 1 4 2 2 | 0 0 0 0 0 0 0 0 0 0 2 2 1 | * * * * * * * * * * * 2 | 0 0 0 0 1 1
---------------+-------+-------------------+---------------------------+-------------------------+------------
xx. xo. ox.&#x ♦ 4 4 0 | 2 2 8 0 2 2 0 0 0 | 1 4 4 4 0 0 0 0 1 0 0 0 0 | 2 2 2 0 0 0 0 0 0 0 0 0 | 1 * * * * *
x.o x.x o.x&#x ♦ 4 0 4 | 2 2 0 8 0 0 0 2 2 | 1 0 0 0 4 4 4 0 0 0 0 0 1 | 0 0 0 2 2 2 0 0 0 0 0 0 | * 1 * * * *
xxo xox ...&#x ♦ 4 2 2 | 2 2 4 4 1 0 4 1 0 | 1 2 2 0 2 2 0 4 0 2 2 0 0 | 1 0 0 1 0 0 2 2 0 1 0 0 | * * 2 * * *
xxo ... oxx&#x ♦ 2 4 2 | 1 0 4 4 2 2 4 0 1 | 0 2 0 2 2 0 2 4 1 2 0 2 0 | 0 1 0 0 1 0 2 0 2 0 1 0 | * * * 2 * *
... xox oxx&#x ♦ 2 2 4 | 0 1 4 4 0 1 4 2 2 | 0 0 2 2 0 2 2 4 0 0 2 2 1 | 0 0 1 0 0 1 0 2 2 0 0 1 | * * * * 2 *
.xo .ox .xx&#x ♦ 0 4 4 | 0 0 0 0 2 2 8 2 2 | 0 0 0 0 0 0 0 0 1 4 4 4 1 | 0 0 0 0 0 0 0 0 0 2 2 2 | * * * * * 1
or o..2o..2o.. & | 12 | 2 4 | 1 4 6 2 | 6 2 5 | 2 4 -----------------+----+-------+-----------+---------+---- x.. ... ... & | 2 | 12 * | 1 2 2 0 | 5 1 2 | 2 3 oo.2oo.2oo.&#x & | 2 | * 24 | 0 1 2 1 | 2 1 3 | 1 3 -----------------+----+-------+-----------+---------+---- x.. x.. ... & | 4 | 4 0 | 3 * * * | 4 0 0 | 2 2 xx. ... ...&#x & | 4 | 2 2 | * 12 * * | 2 0 1 | 1 2 ... xo. ...&#x & | 3 | 1 2 | * * 24 * | 1 1 1 | 1 2 ooo2ooo2ooo&#x | 3 | 0 3 | * * * 8 | 0 0 3 | 0 3 -----------------+----+-------+-----------+---------+---- xx. xo. ...&#x & ♦ 6 | 5 4 | 1 2 2 0 | 12 * * | 1 1 ... xo. ox.&#x & ♦ 4 | 2 4 | 0 0 4 0 | * 6 * | 1 1 xxo ... ...&#x & ♦ 5 | 2 6 | 0 1 2 2 | * * 12 | 0 2 -----------------+----+-------+-----------+---------+---- xx. xo. ox.&#x & ♦ 8 | 8 8 | 2 4 8 0 | 4 2 0 | 3 * xxo xox ...&#x & ♦ 8 | 6 12 | 1 4 8 4 | 2 1 4 | * 6
x..2x..2o.. || .xo2.ox2.xx&#x → height = sqrt(3/8) = 0.612372 ({4} || ortho tepe) o..2o..2o.. | 4 * | 2 4 0 0 0 | 1 4 4 2 2 0 0 0 | 4 2 2 4 1 0 0 | 2 2 2 0 .o.2.o.2.o. & | * 8 | 0 2 1 1 2 | 0 2 1 2 2 1 3 2 | 1 2 1 3 2 1 3 | 1 1 3 1 -----------------+-----+------------+-----------------+---------------+-------- x.. ... ... & | 2 0 | 4 * * * * | 1 2 2 0 0 0 0 0 | 4 1 1 2 0 0 0 | 2 2 1 0 oo.2oo.2oo.&#x & | 1 1 | * 16 * * * | 0 1 1 1 1 0 0 0 | 1 1 1 2 1 0 0 | 1 1 2 0 .x. ... ... & | 0 2 | * * 4 * * | 0 2 0 0 0 1 2 0 | 1 2 0 2 0 1 2 | 1 1 2 1 ... ... .x. & | 0 2 | * * * 4 * | 0 0 0 2 0 1 0 2 | 0 2 1 0 2 0 3 | 1 0 3 1 .oo2.oo2.oo&#x | 0 2 | * * * * 8 | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1 -----------------+-----+------------+-----------------+---------------+-------- x.. x.. ... | 4 0 | 4 0 0 0 0 | 1 * * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0 xx. ... ...&#x & | 2 2 | 1 2 1 0 0 | * 8 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0 ... xo. ...&#x & | 2 1 | 1 2 0 0 0 | * * 8 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0 ... ... ox.&#x & | 1 2 | 0 2 0 1 0 | * * * 8 * * * * | 0 1 1 0 1 0 0 | 1 0 2 0 ooo2ooo2ooo&#x | 1 2 | 0 2 0 0 1 | * * * * 8 * * * | 0 0 0 2 1 0 0 | 0 1 2 0 .x. ... .x. & | 0 4 | 0 0 2 2 0 | * * * * * 2 * * | 0 2 0 0 0 0 2 | 1 0 2 1 .xo ... ...&#x & | 0 3 | 0 0 1 0 2 | * * * * * * 8 * | 0 0 0 1 0 1 1 | 0 1 1 1 ... ... .xx&#x | 0 4 | 0 0 0 2 2 | * * * * * * * 4 | 0 0 0 0 1 0 2 | 0 0 2 1 -----------------+-----+------------+-----------------+---------------+-------- xx. xo. ...&#x & ♦ 4 2 | 4 4 1 0 0 | 1 2 2 0 0 0 0 0 | 4 * * * * * * | 1 1 0 0 xx. ... ox.&#x & ♦ 2 4 | 1 4 2 2 0 | 0 2 0 2 0 1 0 0 | * 4 * * * * * | 1 0 1 0 ... xo. ox.&#x & ♦ 2 2 | 1 4 0 1 0 | 0 0 2 2 0 0 0 0 | * * 4 * * * * | 1 0 1 0 xxo ... ...&#x & ♦ 2 3 | 1 4 1 0 2 | 0 1 1 0 2 0 1 0 | * * * 8 * * * | 0 1 1 0 ... ... oxx&#x ♦ 1 4 | 0 4 0 2 2 | 0 0 0 2 2 0 0 1 | * * * * 4 * * | 0 0 2 0 .xo .ox ...&#x ♦ 0 4 | 0 0 2 0 4 | 0 0 0 0 0 0 4 0 | * * * * * 2 * | 0 1 0 1 .xo ... .xx&#x & ♦ 0 6 | 0 0 2 3 4 | 0 0 0 0 0 1 2 2 | * * * * * * 4 | 0 0 1 1 -----------------+-----+------------+-----------------+---------------+-------- xx. xo. ox.&#x & ♦ 4 4 | 4 8 2 2 0 | 1 4 4 4 0 1 0 0 | 2 2 2 0 0 0 0 | 2 * * * xxo xox ...&#x ♦ 4 4 | 4 8 2 0 4 | 1 4 4 0 4 0 4 0 | 2 0 0 4 0 1 0 | * 2 * * xxo ... oxx&#x & ♦ 2 6 | 1 8 2 3 4 | 0 2 2 4 4 1 2 2 | 0 1 1 2 2 0 1 | * * 4 * .xo .ox .xx&#x ♦ 0 8 | 0 0 4 4 8 | 0 0 0 0 0 2 8 4 | 0 0 0 0 0 2 4 | * * * 1
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