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Acronym
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bautic, J67
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Name
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biaugmented truncated cube
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VRML
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⭳ ©
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Vertex figures
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[3,43], [3,4,3,8], [3,82]
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Lace city
in approx. ASCII-art
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o q o
x w w x
w w
w w
x w w x
o q o
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x x
x w w x
o U o (U=qw=u+q=x+w)
o U o
x w w x
x x
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General of army
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(is itself convex)
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Colonel of regiment
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(is itself locally convex)
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Dihedral angles
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- between {3} and {4} (at join): arccos(-sqrt[(3+2 sqrt(2))/6]) = 170.264390°
- between {3} and {4} (at squacu lacings): arccos[-sqrt(2/3)] = 144.735610°
- between {3} and {8} (at join): arccos[-sqrt(2/3)] = 144.735610°
- between {3} and {8} (at tic edges): arccos[-1/sqrt(3)] = 125.264390°
- between {8} and {8}: 90°
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Face vector
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32, 60, 30
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Confer
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- uniform relative:
-
tic
- related Johnson solids:
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squacu
autic
- general polytopal classes:
-
Johnson solids
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External
links
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Incidence matrix according to Dynkin symbol
xxooxx4oxwwxo&#xt → height(1,2) = height(2,3) = height(4,5) = height(5,6) = 1/sqrt(2) = 0.707107
height(3,4) = 1
o.....4o..... | 4 * * * * * | 2 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0 top polar
.o....4.o.... | * 8 * * * * | 0 1 1 1 1 0 0 0 0 0 0 | 0 1 1 1 1 0 0 0 0 upper join
..o...4..o... | * * 4 * * * | 0 0 0 0 2 1 0 0 0 0 0 | 0 0 0 1 2 0 0 0 0 upper tropal
...o..4...o.. | * * * 4 * * | 0 0 0 0 0 1 2 0 0 0 0 | 0 0 0 0 2 1 0 0 0 lower tropal
....o.4....o. | * * * * 8 * | 0 0 0 0 0 0 1 1 1 1 0 | 0 0 0 0 1 1 1 1 0 lower join
.....o4.....o | * * * * * 4 | 0 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 1 2 1 bottom polar
------------------+-------------+-----------------------+------------------
x..... ...... | 2 0 0 0 0 0 | 4 * * * * * * * * * * | 1 1 0 0 0 0 0 0 0
oo....4oo....&#x | 1 1 0 0 0 0 | * 8 * * * * * * * * * | 0 1 1 0 0 0 0 0 0
.x.... ...... | 0 2 0 0 0 0 | * * 4 * * * * * * * * | 0 1 0 1 0 0 0 0 0
...... .x.... | 0 2 0 0 0 0 | * * * 4 * * * * * * * | 0 0 1 0 1 0 0 0 0
.oo...4.oo...&#x | 0 1 1 0 0 0 | * * * * 8 * * * * * * | 0 0 0 1 1 0 0 0 0
..oo..4..oo..&#x | 0 0 1 1 0 0 | * * * * * 4 * * * * * | 0 0 0 0 2 0 0 0 0
...oo.4...oo.&#x | 0 0 0 1 1 0 | * * * * * * 8 * * * * | 0 0 0 0 1 1 0 0 0
...... ....x. | 0 0 0 0 2 0 | * * * * * * * 4 * * * | 0 0 0 0 1 0 1 0 0
....x. ...... | 0 0 0 0 2 0 | * * * * * * * * 4 * * | 0 0 0 0 0 1 0 1 0
....oo4....oo&#x | 0 0 0 0 1 1 | * * * * * * * * * 8 * | 0 0 0 0 0 0 1 1 0
.....x ...... | 0 0 0 0 0 2 | * * * * * * * * * * 4 | 0 0 0 0 0 0 0 1 1
------------------+-------------+-----------------------+------------------
x.....4o..... | 4 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * top {4}
xx.... ......&#x | 2 2 0 0 0 0 | 1 2 1 0 0 0 0 0 0 0 0 | * 4 * * * * * * * augmenting {4}
...... ox....&#x | 1 2 0 0 0 0 | 0 2 0 1 0 0 0 0 0 0 0 | * * 4 * * * * * * augmenting {3}
.xo... ......&#x | 0 2 1 0 0 0 | 0 0 1 0 2 0 0 0 0 0 0 | * * * 4 * * * * * upper {3}
...... .xwwx.&#xt | 0 2 2 2 2 0 | 0 0 0 1 2 2 2 1 0 0 0 | * * * * 4 * * * * {8}
...ox. ......&#x | 0 0 0 1 2 0 | 0 0 0 0 0 0 2 0 1 0 0 | * * * * * 4 * * * lower {3}
...... ....xo&#x | 0 0 0 0 2 1 | 0 0 0 0 0 0 0 1 0 2 0 | * * * * * * 4 * * augmenting {3}
....xx ......&#x | 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 1 2 1 | * * * * * * * 4 * augmenting {4}
.....x4.....o | 0 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * 1 bottom {4}
or
o.....4o..... & | 8 * * | 2 2 0 0 0 0 | 1 2 1 0 0 polar
.o....4.o.... & | * 16 * | 0 1 1 1 1 0 | 0 1 1 1 1 join
..o...4..o... & | * * 8 | 0 0 0 0 2 1 | 0 0 0 1 2 tropal
--------------------+--------+---------------+----------
x..... ...... & | 2 0 0 | 8 * * * * * | 1 1 0 0 0
oo....4oo....&#x & | 1 1 0 | * 16 * * * * | 0 1 1 0 0
.x.... ...... & | 0 2 0 | * * 8 * * * | 0 1 0 1 0
...... .x.... & | 0 2 0 | * * * 8 * * | 0 0 1 0 1
.oo...4.oo...&#x & | 0 1 1 | * * * * 16 * | 0 0 0 1 1
..oo..4..oo..&#x | 0 0 2 | * * * * * 4 | 0 0 0 0 2
--------------------+--------+---------------+----------
x.....4o..... & | 4 0 0 | 4 0 0 0 0 0 | 2 * * * * polar {4}
xx.... ......&#x & | 2 2 0 | 1 2 1 0 0 0 | * 8 * * * augmenting {4}
...... ox....&#x & | 1 2 0 | 0 2 0 1 0 0 | * * 8 * * augmenting {3}
.xo... ......&#x & | 0 2 1 | 0 0 1 0 2 0 | * * * 8 * medial {3}
...... .xwwx.&#xt | 0 4 4 | 0 0 0 2 4 2 | * * * * 4 {8}