Acronym fe
Name tetradecapeton,
tritruncated heptapeton,
equatorial cross-section of (vertex first) q-hept
Circumradius sqrt(3) = 1.732051
Inradius sqrt(7/12) = 0.763763
Lace city
in approx. ASCII-art
o3o3x3x   o3o3u3o   o3x3x3o  
                             
                             
                             
                             
 o3o3u3o             o3u3o3o 
                             
                             
                             
                             
  o3x3x3o   o3u3o3o   x3x3o3o
Dihedral angles
(at margins)
Dual o3o3m3m3o3o
Confer
general polytopal classes:
noble polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3o3x3x3o3o

. . . . . . | 140 |   3   3 |   3   9   3 |  1   9   9  1 |  3  9  3 | 3 3
------------+-----+---------+-------------+---------------+----------+----
. . x . . . |   2 | 210   * |   2   3   0 |  1   6   3  0 |  3  6  1 | 3 2
. . . x . . |   2 |   * 210 |   0   3   2 |  0   3   6  1 |  1  6  3 | 2 3
------------+-----+---------+-------------+---------------+----------+----
. o3x . . . |   3 |   3   0 | 140   *   * |  1   3   0  0 |  3  3  0 | 3 1
. . x3x . . |   6 |   3   3 |   * 210   * |  0   2   2  0 |  1  4  1 | 2 2
. . . x3o . |   3 |   0   3 |   *   * 140 |  0   0   3  1 |  0  3  3 | 1 3
------------+-----+---------+-------------+---------------+----------+----
o3o3x . . .    4 |   6   0 |   4   0   0 | 35   *   *  * |  3  0  0 | 3 0
. o3x3x . .   12 |  12   6 |   4   4   0 |  * 105   *  * |  1  2  0 | 2 1
. . x3x3o .   12 |   6  12 |   0   4   4 |  *   * 105  * |  0  2  1 | 1 2
. . . x3o3o    4 |   0   6 |   0   0   4 |  *   *   * 35 |  0  0  3 | 0 3
------------+-----+---------+-------------+---------------+----------+----
o3o3x3x . .   20 |  30  10 |  20  10   0 |  5   5   0  0 | 21  *  * | 2 0
. o3x3x3o .   30 |  30  30 |  10  20  10 |  0   5   5  0 |  * 42  * | 1 1
. . x3x3o3o   20 |  10  30 |   0  10  20 |  0   0   5  5 |  *  * 21 | 0 2
------------+-----+---------+-------------+---------------+----------+----
o3o3x3x3o .   60 |  90  60 |  60  60  20 | 15  30  15  0 |  6  6  0 | 7 *
. o3x3x3o3o   60 |  60  90 |  20  60  60 |  0  15  30 15 |  0  6  6 | * 7
or
. . . . . .    | 140 |   6 |   6   9 |  2  18 |  6  9 |  6
---------------+-----+-----+---------+--------+-------+---
. . x . . .  & |   2 | 420 |   2   3 |  1   9 |  4  6 |  5
---------------+-----+-----+---------+--------+-------+---
. o3x . . .  & |   3 |   3 | 280   * |  1   3 |  3  3 |  4
. . x3x . .    |   6 |   6 |   * 210 |  0   4 |  2  4 |  4
---------------+-----+-----+---------+--------+-------+---
o3o3x . . .  &    4 |   6 |   4   0 | 70   * |  3  0 |  3
. o3x3x . .  &   12 |  18 |   4   4 |  * 210 |  1  2 |  3
---------------+-----+-----+---------+--------+-------+---
o3o3x3x . .  &   20 |  40 |  20  10 |  5   5 | 42  * |  2
. o3x3x3o .      30 |  60 |  20  20 |  0  10 |  * 42 |  2
---------------+-----+-----+---------+--------+-------+---
o3o3x3x3o .  &   60 | 150 |  80  60 | 15  45 |  6  6 | 14

ooo3xoo3xux3oox3ooo&#xt   → both heights = sqrt(7/12) = 0.763763
(bittix || pseudo u-dot || inv bittix)

o..3o..3o..3o..3o..     | 60  *  * |  2  3  1  0  0  0 |  1  6  3  2  3  0  0  0  0 |  3  6  1  1  6  3  0  0  0  0 | 3 2  3  6  1 0 0 | 1 3 2 0
.o.3.o.3.o.3.o.3.o.     |  * 20  * |  0  0  3  3  0  0 |  0  0  0  3  9  3  0  0  0 |  0  0  0  1  9  9  1  0  0  0 | 0 0  3  9  3 0 0 | 0 3 3 0
..o3..o3..o3..o3..o     |  *  * 60 |  0  0  0  1  3  2 |  0  0  0  0  3  2  3  6  1 |  0  0  0  0  3  6  1  1  6  3 | 0 0  1  6  3 2 3 | 0 2 3 1
------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+--------
... x.. ... ... ...     |  2  0  0 | 60  *  *  *  *  * |  1  3  0  1  0  0  0  0  0 |  3  3  0  1  3  0  0  0  0  0 | 3 1  3  3  0 0 0 | 1 3 1 0
... ... x.. ... ...     |  2  0  0 |  * 90  *  *  *  * |  0  2  2  0  1  0  0  0  0 |  1  4  1  0  2  2  0  0  0  0 | 2 2  1  4  1 0 0 | 1 2 2 0
oo.3oo.3oo.3oo.3oo.&#x  |  1  1  0 |  *  * 60  *  *  * |  0  0  0  2  3  0  0  0  0 |  0  0  0  1  6  3  0  0  0  0 | 0 0  3  6  1 0 0 | 0 3 2 0
.oo3.oo3.oo3.oo3.oo&#x  |  0  1  1 |  *  *  * 60  *  * |  0  0  0  0  3  2  0  0  0 |  0  0  0  0  3  6  1  0  0  0 | 0 0  1  6  3 0 0 | 0 2 3 0
... ... ..x ... ...     |  0  0  2 |  *  *  *  * 90  * |  0  0  0  0  1  0  2  2  0 |  0  0  0  0  2  2  0  1  4  1 | 0 0  1  4  1 2 2 | 0 2 2 1
... ... ... ..x ...     |  0  0  2 |  *  *  *  *  * 60 |  0  0  0  0  0  1  0  3  1 |  0  0  0  0  0  3  1  0  3  3 | 0 0  0  3  3 1 3 | 0 1 3 1
------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+--------
o..3x.. ... ... ...     |  3  0  0 |  3  0  0  0  0  0 | 20  *  *  *  *  *  *  *  * |  3  0  0  1  0  0  0  0  0  0 | 3 0  3  0  0 0 0 | 1 3 0 0
... x..3x.. ... ...     |  6  0  0 |  3  3  0  0  0  0 |  * 60  *  *  *  *  *  *  * |  1  2  0  0  1  0  0  0  0  0 | 2 1  1  2  0 0 0 | 1 2 1 0
... ... x..3o.. ...     |  3  0  0 |  0  3  0  0  0  0 |  *  * 60  *  *  *  *  *  * |  0  2  1  0  0  1  0  0  0  0 | 1 2  0  2  1 0 0 | 1 1 2 0
... xo. ... ... ...&#x  |  2  1  0 |  1  0  2  0  0  0 |  *  *  * 60  *  *  *  *  * |  0  0  0  1  3  0  0  0  0  0 | 0 0  3  3  0 0 0 | 0 3 1 0
... ... xux ... ...&#xt |  2  2  2 |  0  1  2  2  1  0 |  *  *  *  * 90  *  *  *  * |  0  0  0  0  2  2  0  0  0  0 | 0 0  1  4  1 0 0 | 0 2 2 0
... ... ... .ox ...&#x  |  0  1  2 |  0  0  0  2  0  1 |  *  *  *  *  * 60  *  *  * |  0  0  0  0  0  3  1  0  0  0 | 0 0  0  3  3 0 0 | 0 1 3 0
... ..o3..x ... ...     |  0  0  3 |  0  0  0  0  3  0 |  *  *  *  *  *  * 60  *  * |  0  0  0  0  1  0  0  1  2  0 | 0 0  1  2  0 2 1 | 0 2 1 1
... ... ..x3..x ...     |  0  0  6 |  0  0  0  0  3  3 |  *  *  *  *  *  *  * 60  * |  0  0  0  0  0  1  0  0  2  1 | 0 0  0  2  1 1 2 | 0 1 2 1
... ... ... ..x3..o     |  0  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  *  * 20 |  0  0  0  0  0  0  1  0  0  3 | 0 0  0  0  3 0 3 | 0 0 3 1
------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+--------
o..3x..3x.. ... ...      12  0  0 | 12  6  0  0  0  0 |  4  4  0  0  0  0  0  0  0 | 15  *  *  *  *  *  *  *  *  * | 2 0  1  0  0 0 0 | 1 2 0 0
... x..3x..3o.. ...      12  0  0 |  6 12  0  0  0  0 |  0  4  4  0  0  0  0  0  0 |  * 30  *  *  *  *  *  *  *  * | 1 1  0  1  0 0 0 | 1 1 1 0
... ... x..3o..3o..       4  0  0 |  0  6  0  0  0  0 |  0  0  4  0  0  0  0  0  0 |  *  * 15  *  *  *  *  *  *  * | 0 2  0  0  1 0 0 | 1 0 2 0
oo.3xo. ... ... ...&#x    3  1  0 |  3  0  3  0  0  0 |  1  0  0  3  0  0  0  0  0 |  *  *  * 20  *  *  *  *  *  * | 0 0  3  0  0 0 0 | 0 3 0 0
... xoo3xux ... ...&#xt   6  3  3 |  3  3  6  3  3  0 |  0  1  0  3  3  0  1  0  0 |  *  *  *  * 60  *  *  *  *  * | 0 0  1  2  0 0 0 | 0 2 1 0
... ... xux3oox ...&#xt   3  3  6 |  0  3  3  6  3  3 |  0  0  1  0  3  3  0  1  0 |  *  *  *  *  * 60  *  *  *  * | 0 0  0  2  1 0 0 | 0 1 2 0
... ... ... .ox3.oo&#x    0  1  3 |  0  0  0  3  0  3 |  0  0  0  0  0  3  0  0  1 |  *  *  *  *  *  * 20  *  *  * | 0 0  0  0  3 0 0 | 0 0 3 0
..o3..o3..x ... ...       0  0  4 |  0  0  0  0  6  0 |  0  0  0  0  0  0  4  0  0 |  *  *  *  *  *  *  * 15  *  * | 0 0  1  0  0 2 0 | 0 2 0 1
... ..o3..x3..x ...       0  0 12 |  0  0  0  0 12  6 |  0  0  0  0  0  0  4  4  0 |  *  *  *  *  *  *  *  * 30  * | 0 0  0  1  0 1 1 | 0 1 1 1
... ... ..x3..x3..o       0  0 12 |  0  0  0  0  6 12 |  0  0  0  0  0  0  0  4  4 |  *  *  *  *  *  *  *  *  * 15 | 0 0  0  0  1 0 2 | 0 0 2 1
------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+--------
o..3x..3x..3o.. ...      30  0  0 | 30 30  0  0  0  0 | 10 20 10  0  0  0  0  0  0 |  5  5  0  0  0  0  0  0  0  0 | 6 *  *  *  * * * | 1 1 0 0
... x..3x..3o..3o..      20  0  0 | 10 30  0  0  0  0 |  0 10 20  0  0  0  0  0  0 |  0  5  5  0  0  0  0  0  0  0 | * 6  *  *  * * * | 1 0 1 0
ooo3xoo3xux ... ...&#xt  12  4  4 | 12  6 12  4  6  0 |  4  4  0 12  6  0  4  0  0 |  1  0  0  4  4  0  0  1  0  0 | * * 15  *  * * * | 0 2 0 0
... xoo3xux3oox ...&#xt  12  6 12 |  6 12 12 12 12  6 |  0  4  4  6 12  6  4  4  0 |  0  1  0  0  4  4  0  0  1  0 | * *  * 30  * * * | 0 1 1 0
... ... xux3oox3ooo&#xt   4  4 12 |  0  6  4 12  6 12 |  0  0  4  0  6 12  0  4  4 |  0  0  1  0  0  4  4  0  0  1 | * *  *  * 15 * * | 0 0 2 0
..o3..o3..x3..x ...       0  0 20 |  0  0  0  0 30 10 |  0  0  0  0  0  0 20 10  0 |  0  0  0  0  0  0  0  5  5  0 | * *  *  *  * 6 * | 0 1 0 1
... ..o3..x3..x3..o       0  0 30 |  0  0  0  0 30 30 |  0  0  0  0  0  0 10 20 10 |  0  0  0  0  0  0  0  0  5  5 | * *  *  *  * * 6 | 0 0 1 1
------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+--------
o..3x..3x..3o..3o..      60  0  0 | 60 90  0  0  0  0 | 20 60 60  0  0  0  0  0  0 | 15 30 15  0  0  0  0  0  0  0 | 6 6  0  0  0 0 0 | 1 * * *
ooo3xoo3xux3oox ...&#xt  30 10 20 | 30 30 30 20 30 10 | 10 20 10 30 30 10 20 10  0 |  5  5  0 10 20 10  0  5  5  0 | 1 0  5  5  0 1 0 | * 6 * *
... xoo3xux3oox3ooo&#xt  20 10 30 | 10 30 20 30 30 30 |  0 10 20 10 30 30 10 20 10 |  0  5  5  0 10 20 10  0  5  5 | 0 1  0  5  5 0 1 | * * 6 *
..o3..o3..x3..x3..o       0  0 60 |  0  0  0  0 90 60 |  0  0  0  0  0  0 60 60 20 |  0  0  0  0  0  0  0 15 30 15 | 0 0  0  0  0 6 6 | * * * 1
or
o..3o..3o..3o..3o..     & | 120  * |   2   3   1 |  1   6   3   2  3 |  3  6  1  1   9 |  3  2  4  6 | 1  5
.o.3.o.3.o.3.o.3.o.       |   * 20 |   0   0   6 |  0   0   0   6  9 |  0  0  0  2  18 |  0  0  6  9 | 0  6
--------------------------+--------+-------------+-------------------+-----------------+-------------+-----
... x.. ... ... ...     & |   2  0 | 120   *   * |  1   3   0   1  0 |  3  3  0  1   3 |  3  1  3  3 | 1  4
... ... x.. ... ...     & |   2  0 |   * 180   * |  0   2   2   0  1 |  1  4  1  0   4 |  2  2  2  4 | 1  4
oo.3oo.3oo.3oo.3oo.&#x  & |   1  1 |   *   * 120 |  0   0   0   2  3 |  0  0  0  1   9 |  0  0  4  6 | 0  5
--------------------------+--------+-------------+-------------------+-----------------+-------------+-----
o..3x.. ... ... ...     & |   3  0 |   3   0   0 | 40   *   *   *  * |  3  0  0  1   0 |  3  0  3  0 | 1  3
... x..3x.. ... ...     & |   6  0 |   3   3   0 |  * 120   *   *  * |  1  2  0  0   1 |  2  1  1  2 | 1  3
... ... x..3o.. ...     & |   3  0 |   0   3   0 |  *   * 120   *  * |  0  2  1  0   1 |  1  2  1  2 | 1  3
... xo. ... ... ...&#x  & |   2  1 |   1   0   2 |  *   *   * 120  * |  0  0  0  1   3 |  0  0  3  3 | 0  4
... ... xux ... ...&#xt   |   4  2 |   0   2   4 |  *   *   *   * 90 |  0  0  0  0   4 |  0  0  2  4 | 0  4
--------------------------+--------+-------------+-------------------+-----------------+-------------+-----
o..3x..3x.. ... ...     &   12  0 |  12   6   0 |  4   4   0   0  0 | 30  *  *  *   * |  2  0  1  0 | 1  2
... x..3x..3o.. ...     &   12  0 |   6  12   0 |  0   4   4   0  0 |  * 60  *  *   * |  1  1  0  1 | 1  2
... ... x..3o..3o..     &    4  0 |   0   6   0 |  0   0   4   0  0 |  *  * 30  *   * |  0  2  1  0 | 1  2
oo.3xo. ... ... ...&#x  &    3  1 |   3   0   3 |  1   0   0   3  0 |  *  *  * 40   * |  0  0  3  0 | 0  3
... xoo3xux ... ...&#xt &    9  3 |   3   6   9 |  0   1   1   3  3 |  *  *  *  * 120 |  0  0  1  2 | 0  3
--------------------------+--------+-------------+-------------------+-----------------+-------------+-----
o..3x..3x..3o.. ...     &   30  0 |  30  30   0 | 10  20  10   0  0 |  5  5  0  0   0 | 12  *  *  * | 1  1
... x..3x..3o..3o..     &   20  0 |  10  30   0 |  0  10  20   0  0 |  0  5  5  0   0 |  * 12  *  * | 1  1
ooo3xoo3xux ... ...&#xt &   16  4 |  12  12  16 |  4   4   4  12  6 |  1  0  1  4   4 |  *  * 30  * | 0  2
... xoo3xux3oox ...&#xt     24  6 |  12  24  24 |  0   8   8  12 12 |  0  2  0  0   8 |  *  *  * 30 | 0  2
--------------------------+--------+-------------+-------------------+-----------------+-------------+-----
o..3x..3x..3o..3o..     &   60  0 |  60  90   0 | 20  60  60   0  0 | 15 30 15  0   0 |  6  6  0  0 | 2  *
ooo3xoo3xux3oox ...&#xt &   50 10 |  40  60  50 | 10  30  30  40 30 |  5 10  5 10  30 |  1  1  5  5 | * 12

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