Acronym rag (old: ric) Name rectified hexacontitetrapeton Circumradius 1 Coordinates (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0)   & all permutations, all changes of sign Externallinks

Incidence matrix according to Dynkin symbol

```o3x3o3o3o4o

. . . . . . | 60 ♦  16 |   8  48 |  24  64 |  32  32 | 16  2
------------+----+-----+---------+---------+---------+------
. x . . . . |  2 | 480 |   1   6 |   6  12 |  12   8 |  8  1
------------+----+-----+---------+---------+---------+------
o3x . . . . |  3 |   3 | 160   * ♦   6   0 |  12   0 |  8  0
. x3o . . . |  3 |   3 |   * 960 |   1   4 |   4   4 |  4  1
------------+----+-----+---------+---------+---------+------
o3x3o . . . ♦  6 |  12 |   4   4 | 240   * |   4   0 |  4  0
. x3o3o . . ♦  4 |   6 |   0   4 |   * 960 |   1   2 |  2  1
------------+----+-----+---------+---------+---------+------
o3x3o3o . . ♦ 10 |  30 |  10  20 |   5   5 | 192   * |  2  0
. x3o3o3o . ♦  5 |  10 |   0  10 |   0   5 |   * 384 |  1  1
------------+----+-----+---------+---------+---------+------
o3x3o3o3o . ♦ 15 |  60 |  20  60 |  15  30 |   6   6 | 64  *
. x3o3o3o4o ♦ 10 |  40 |   0  80 |   0  80 |   0  32 |  * 12
```

```o3o3o *b3o3x3o

. . .    . . . | 60 ♦  16 |  48   8 |  64  24 |  16  16  32 |  2  8  8
---------------+----+-----+---------+---------+-------------+---------
. . .    . x . |  2 | 480 |   6   1 |  12   6 |   4   4  12 |  1  4  4
---------------+----+-----+---------+---------+-------------+---------
. . .    o3x . |  3 |   3 | 960   * |   4   1 |   2   2   4 |  1  2  2
. . .    . x3o |  3 |   3 |   * 160 ♦   0   6 |   0   0  12 |  0  4  4
---------------+----+-----+---------+---------+-------------+---------
. o . *b3o3x . ♦  4 |   6 |   4   0 | 960   * |   1   1   1 |  1  1  1
. . .    o3x3o ♦  6 |  12 |   4   4 |   * 240 |   0   0   4 |  0  2  2
---------------+----+-----+---------+---------+-------------+---------
o3o . *b3o3x . ♦  5 |  10 |  10   0 |   5   0 | 192   *   * |  1  1  0
. o3o *b3o3x . ♦  5 |  10 |  10   0 |   5   0 |   * 192   * |  1  0  1
. o . *b3o3x3o ♦ 10 |  30 |  20  10 |   5   5 |   *   * 192 |  0  1  1
---------------+----+-----+---------+---------+-------------+---------
o3o3o *b3o3x . ♦ 10 |  40 |  80   0 |  80   0 |  16  16   0 | 12  *  *
o3o . *b3o3x3o ♦ 15 |  60 |  60  20 |  30  15 |   6   0   6 |  * 32  *
. o3o *b3o3x3o ♦ 15 |  60 |  60  20 |  30  15 |   0   6   6 |  *  * 32
```

```oxo3xoo3ooo3oox3oxo&#xt   → both heights = 1/sqrt(3) = 0.577350
(rix || pseudo scad || inv rix)

o..3o..3o..3o..3o..     & | 30  * ♦   8   8   0 |  4  12   4  12  24   0 |  6  8  12  24  24   8  6  0 |  4  2 12  8  12   8  2  16  0 | 1  4  2  7  4
.o.3.o.3.o.3.o.3.o.       |  * 30 ♦   0   8   8 |  0   0   8  24  12  12 |  0  0  12   8  24  24 12  8 |  0  0  8  2   8  12  8  24  2 | 0  2  2  8  6
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
... x.. ... ... ...     & |  2  0 | 120   *   * |  1   3   0   0   3   0 |  3  3   3   6   3   0  0  0 |  3  1  6  3   3   1  0   3  0 | 1  3  1  3  1
oo.3oo.3oo.3oo.3oo.&#x  & |  1  1 |   * 240   * |  0   0   1   3   3   0 |  0  0   3   3   6   3  3  0 |  0  0  3  1   3   3  1   9  0 | 0  1  1  4  3
.x. ... ... ... ...     & |  0  2 |   *   * 120 |  0   0   1   3   0   3 |  0  0   3   0   3   6  3  3 |  0  0  3  0   1   3  3   9  1 | 0  1  1  4  3
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
o..3x.. ... ... ...     & |  3  0 |   3   0   0 | 40   *   *   *   *   * ♦  3  0   3   0   0   0  0  0 |  3  0  6  0   0   0  0   3  0 | 1  3  0  3  1
... x..3o.. ... ...     & |  3  0 |   3   0   0 |  * 120   *   *   *   * |  1  2   0   2   0   0  0  0 |  2  1  2  2   1   0  0   0  0 | 1  2  1  1  0
ox. ... ... ... ...&#x  & |  1  2 |   0   2   1 |  *   * 120   *   *   * ♦  0  0   3   0   0   0  3  0 |  0  0  3  0   0   0  0   9  0 | 0  1  0  4  3
... ... ... ... ox.&#x  & |  1  2 |   0   2   1 |  *   *   * 360   *   * |  0  0   0   0   2   2  1  0 |  0  0  0  0   1   2  1   4  0 | 0  0  1  2  2
... xo. ... ... ...&#x  & |  2  1 |   1   2   0 |  *   *   *   * 360   * |  0  0   1   2   2   0  0  0 |  0  0  2  1   2   1  0   2  0 | 0  1  1  2  1
.x.3.o. ... ... ...     & |  0  3 |   0   0   3 |  *   *   *   *   * 120 |  0  0   1   0   0   2  0  2 |  0  0  2  0   0   1  2   2  1 | 0  1  1  2  1
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
o..3x..3o.. ... ...     & ♦  6  0 |  12   0   0 |  4   4   0   0   0   0 | 30  *   *   *   *   *  *  * |  2  0  2  0   0   0  0   0  0 | 1  2  0  1  0
... x..3o..3o.. ...     & ♦  4  0 |   6   0   0 |  0   4   0   0   0   0 |  * 60   *   *   *   *  *  * |  1  1  0  1   0   0  0   0  0 | 1  1  1  0  0
ox.3xo. ... ... ...&#x  & ♦  3  3 |   3   6   3 |  1   0   3   0   3   1 |  *  * 120   *   *   *  *  * |  0  0  2  0   0   0  0   2  0 | 0  1  0  2  1
... xo.3oo. ... ...&#x  & ♦  3  1 |   3   3   0 |  0   1   0   0   3   0 |  *  *   * 240   *   *  *  * |  0  0  1  1   1   0  0   0  0 | 0  1  1  1  0
... xo. ... ... ox.&#x  & ♦  2  2 |   1   4   1 |  0   0   0   2   2   0 |  *  *   *   * 360   *  *  * |  0  0  0  0   1   1  0   1  0 | 0  0  1  1  1
... ... ... oo.3ox.&#x  & ♦  1  3 |   0   3   3 |  0   0   0   3   0   1 |  *  *   *   *   * 240  *  * |  0  0  0  0   0   1  1   1  0 | 0  0  1  1  1
oxo ... ... ... oxo&#xt   ♦  2  4 |   0   8   4 |  0   0   4   4   0   0 |  *  *   *   *   *   * 90  * |  0  0  0  0   0   0  0   4  0 | 0  0  0  2  2
.x.3.o.3.o. ... ...     & ♦  0  4 |   0   0   6 |  0   0   0   0   0   4 |  *  *   *   *   *   *  * 60 |  0  0  1  0   0   0  1   0  1 | 0  1  1  1  0
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
o..3x..3o..3o.. ...     & ♦ 10  0 |  30   0   0 | 10  20   0   0   0   0 |  5  5   0   0   0   0  0  0 | 12  *  *  *   *   *  *   *  * | 1  1  0  0  0
... x..3o..3o..3o..     & ♦  5  0 |  10   0   0 |  0  10   0   0   0   0 |  0  5   0   0   0   0  0  0 |  * 12  *  *   *   *  *   *  * | 1  0  1  0  0
ox.3xo.3oo. ... ...&#x  & ♦  6  4 |  12  12   6 |  4   4   6   0  12   4 |  1  0   4   4   0   0  0  1 |  *  * 60  *   *   *  *   *  * | 0  1  0  1  0
... xo.3oo.3oo. ...&#x  & ♦  4  1 |   6   4   0 |  0   4   0   0   6   0 |  0  1   0   4   0   0  0  0 |  *  *  * 60   *   *  *   *  * | 0  1  1  0  0
... xo.3oo. ... ox.&#x  & ♦  3  2 |   3   6   1 |  0   1   0   3   6   0 |  0  0   0   2   3   0  0  0 |  *  *  *  * 120   *  *   *  * | 0  0  1  1  0
... xo. ... oo.3ox.&#x  & ♦  2  3 |   1   6   3 |  0   0   0   6   3   1 |  0  0   0   0   3   2  0  0 |  *  *  *  *   * 120  *   *  * | 0  0  1  0  1
... ... oo.3oo.3ox.&#x  & ♦  1  4 |   0   4   6 |  0   0   0   6   0   4 |  0  0   0   0   0   4  0  1 |  *  *  *  *   *   * 60   *  * | 0  0  1  1  0
oxo3xoo ... ... oxo&#xt & ♦  4  6 |   3  18   9 |  1   0   9  12   6   2 |  0  0   2   0   3   2  3  0 |  *  *  *  *   *   *  * 120  * | 0  0  0  1  1
.x.3.o.3.o.3.o. ...     & ♦  0  5 |   0   0  10 |  0   0   0   0   0  10 |  0  0   0   0   0   0  0  5 |  *  *  *  *   *   *  *   * 12 | 0  1  1  0  0
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
o..3x..3o..3o..3o..     & ♦ 15  0 |  60   0   0 | 20  60   0   0   0   0 | 15 30   0   0   0   0  0  0 |  6  6  0  0   0   0  0   0  0 | 2  *  *  *
ox.3xo.3oo.3oo. ...&#x  & ♦ 10  5 |  30  20  10 | 10  20  10   0  30  10 |  5  5  10  20   0   0  0  5 |  1  0  5  5   0   0  0   0  1 | * 12  *  *
... xo.3oo.3oo.3ox.&#x  & ♦  5  5 |  10  20  10 |  0  10   0  30  30  10 |  0  5   0  20  30  20  0  5 |  0  1  0  5  10  10  5   0  1 | *  * 12  *
oxo3xoo3ooo ... oxo&#xt & ♦  7  8 |  12  32  16 |  4   4  16  24  24   8 |  1  0   8   8  12   8  6  2 |  0  0  2  0   4   0  2   4  0 | *  *  * 30
oxo3xoo ... oox3oxo&#xt   ♦  6  9 |   6  36  18 |  2   0  18  36  18   6 |  0  0   6   0  18  12  9  0 |  0  0  0  0   0   6  0   6  0 | *  *  *  * 20
```

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