Acronym garag Name gee atop rag,gee-first rotunda of rez Circumradius 1 Coordinates (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0, 0)   & all permutations, all changes of sign – but last coord. non-negative Confer uniform relative: rez   general polytopal classes: segmentoexa   fundamental lace prisms

Incidence matrix according to Dynkin symbol

```xo3ox3oo3oo3oo4oo&#xt   → height = 1/sqrt(2) = 0.707107
(gee || rag)

o.3o.3o.3o.3o.4o.    | 12  * ♦ 10  10   0 |  40 10  40   0   0 |  80  40  80   0   0 |  80  80  80   0   0 | 32  80  32  0  0 | 1 32  1 0
.o3.o3.o3.o3.o4.o    |  * 60 |  0   2  16 |   0  1  16   8  48 |   0   8  48  24  64 |   0  24  64  32  32 |  0  32  32 16  2 | 0 16  2 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x. .. .. .. .. ..    |  2  0 | 60   *   * |   8  1   0   0   0 |  24   8   0   0   0 |  32  24   0   0   0 | 16  32   0  0  0 | 1 16  0 0
oo3oo3oo3oo3oo4oo&#x |  1  1 |  * 120   * |   0  1   8   0   0 |   0   8  24   0   0 |   0  24  32   0   0 |  0  32  16  0  0 | 0 16  1 0
.. .x .. .. .. ..    |  0  2 |  *   * 480 |   0  0   1   1   6 |   0   1   6   6  12 |   0   6  12  12   8 |  0  12   8  8  1 | 0  8  1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o. .. .. .. ..    |  3  0 |  3   0   0 | 160  *   *   *   * |   6   1   0   0   0 |  12   6   0   0   0 |  8  12   0  0  0 | 1  8  0 0
xo .. .. .. .. ..&#x |  2  1 |  1   2   0 |   * 60   *   *   * ♦   0   8   0   0   0 |   0  24   0   0   0 |  0  32   0  0  0 | 0 16  0 0
.. ox .. .. .. ..&#x |  1  2 |  0   2   1 |   *  * 480   *   * |   0   1   6   0   0 |   0   6  12   0   0 |  0  12   8  0  0 | 0  8  1 0
.o3.x .. .. .. ..    |  0  3 |  0   0   3 |   *  *   * 160   * ♦   0   1   0   6   0 |   0   6   0  12   0 |  0  12   0  8  0 | 0  8  0 1
.. .x3.o .. .. ..    |  0  3 |  0   0   3 |   *  *   *   * 960 |   0   0   1   1   4 |   0   1   4   4   4 |  0   4   4  4  1 | 0  4  1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o.3o. .. .. ..    ♦  4  0 |  6   0   0 |   4  0   0   0   0 | 240   *   *   *   * |   4   1   0   0   0 |  4   4   0  0  0 | 1  4  0 0
xo3ox .. .. .. ..&#x ♦  3  3 |  3   6   3 |   1  3   3   1   0 |   * 160   *   *   * ♦   0   6   0   0   0 |  0  12   0  0  0 | 0  8  0 0
.. ox3oo .. .. ..&#x ♦  1  3 |  0   3   3 |   0  0   3   0   1 |   *   * 960   *   * |   0   1   4   0   0 |  0   4   4  0  0 | 0  4  1 0
.o3.x3.o .. .. ..    ♦  0  6 |  0   0  12 |   0  0   0   4   4 |   *   *   * 240   * ♦   0   1   0   4   0 |  0   4   0  4  0 | 0  4  0 1
.. .x3.o3.o .. ..    ♦  0  4 |  0   0   6 |   0  0   0   0   4 |   *   *   *   * 960 |   0   0   1   1   2 |  0   1   2  2  1 | 0  2  1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o.3o.3o. .. ..    ♦  5  0 | 10   0   0 |  10  0   0   0   0 |   5   0   0   0   0 | 192   *   *   *   * |  2   1   0  0  0 | 1  2  0 0
xo3ox3oo .. .. ..&#x ♦  4  6 |  6  12  12 |   4  6  12   4   4 |   1   4   4   1   0 |   * 240   *   *   * |  0   4   0  0  0 | 0  4  0 0
.. ox3oo3oo .. ..&#x ♦  1  4 |  0   4   6 |   0  0   6   0   4 |   0   0   4   0   1 |   *   * 960   *   * |  0   1   2  0  0 | 0  2  1 0
.o3.x3.o3.o .. ..    ♦  0 10 |  0   0  30 |   0  0   0  10  20 |   0   0   0   5   5 |   *   *   * 192   * |  0   1   0  2  0 | 0  2  0 1
.. .x3.o3.o3.o ..    ♦  0  5 |  0   0  10 |   0  0   0   0  10 |   0   0   0   0   5 |   *   *   *   * 384 |  0   0   1  1  1 | 0  1  1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o.3o.3o.3o. ..    ♦  6  0 | 15   0   0 |  20  0   0   0   0 |  15   0   0   0   0 |   6   0   0   0   0 | 64   *   *  *  * | 1  1  0 0
xo3ox3oo3oo .. ..&#x ♦  5 10 | 10  20  30 |  10 10  30  10  20 |   5  10  20   5   5 |   1   5   5   1   0 |  * 192   *  *  * | 0  2  0 0
.. ox3oo3oo3oo ..&#x ♦  1  5 |  0   5  10 |   0  0  10   0  10 |   0   0  10   0   5 |   0   0   5   0   1 |  *   * 384  *  * | 0  1  1 0
.o3.x3.o3.o3.o ..    ♦  0 15 |  0   0  60 |   0  0   0  20  60 |   0   0   0  15  30 |   0   0   0   6   6 |  *   *   * 64  * | 0  1  0 1
.. .x3.o3.o3.o4.o    ♦  0 10 |  0   0  40 |   0  0   0   0  80 |   0   0   0   0  80 |   0   0   0   0  32 |  *   *   *  * 12 | 0  0  1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o.3o.3o.3o.4o.    ♦ 12  0 | 60   0   0 | 160  0   0   0   0 | 240   0   0   0   0 | 192   0   0   0   0 | 64   0   0  0  0 | 1  *  * *
xo3ox3oo3oo3oo ..&#x ♦  6 15 | 15  30  60 |  20 15  60  20  60 |  15  20  60  15  30 |   6  15  30   6   6 |  1   6   6  1  0 | * 64  * *
.. ox3oo3oo3oo4oo&#x ♦  1 10 |  0  10  40 |   0  0  40   0  80 |   0   0  80   0  80 |   0   0  80   0  32 |  0   0  32  0  1 | *  * 12
.o3.x3.o3.o3.o4.o    ♦  0 60 |  0   0 480 |   0  0   0 160 960 |   0   0   0 240 960 |   0   0   0 192 384 |  0   0   0 64 12 | *  *  * 1
```

```oo3oo3oo *b3oo3ox3xo&#x   → height = 1/sqrt(2) = 0.707107
(gee || rag)

o.3o.3o. *b3o.3o.3o.    | 12  * ♦ 10  10   0 |  40  40 10   0   0 |  80  80  40   0   0 |  80  80  80   0   0   0 | 16 16  16  16  80  0  0  0 | 1  1 16 16 0
.o3.o3.o *b3.o3.o3.o    |  * 60 |  0   2  16 |   0  16  1  48   8 |   0  48   8  64  24 |   0  64  24  16  16  32 |  0  0  16  16  32  2  8  8 | 0  2  8  8 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
.. .. ..    .. .. x.    |  2  0 | 60   *   * |   8   0  1   0   0 |  24   0   8   0   0 |  32   0  24   0   0   0 |  8  8   0   0  32  0  0  0 | 1  0  8  8 0
oo3oo3oo *b3oo3oo3oo&#x |  1  1 |  * 120   * |   0   8  1   0   0 |   0  24   8   0   0 |   0  32  24   0   0   0 |  0  0   8   8  32  0  0  0 | 0  1  8  8 0
.. .. ..    .. .x ..    |  0  2 |  *   * 480 |   0   1  0   6   1 |   0   6   1  12   6 |   0  12   6   4   4  12 |  0  0   4   4  12  1  4  4 | 0  1  4  4 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
.. .. ..    .. o.3x.    |  3  0 |  3   0   0 | 160   *  *   *   * |   6   0   1   0   0 |  12   0   6   0   0   0 |  4  4   0   0  12  0  0  0 | 1  0  4  4 0
.. .. ..    .. ox ..&#x |  1  2 |  0   2   1 |   * 480  *   *   * |   0   6   1   0   0 |   0  12   6   0   0   0 |  0  0   4   4  12  0  0  0 | 0  1  4  4 0
.. .. ..    .. .. xo&#x |  2  1 |  1   2   0 |   *   * 60   *   * ♦   0   0   8   0   0 |   0   0  24   0   0   0 |  0  0   0   0  32  0  0  0 | 0  0  8  8 0
.. .. ..    .o3.x ..    |  0  3 |  0   0   3 |   *   *  * 960   * |   0   1   0   4   1 |   0   4   1   2   2   4 |  0  0   2   2   4  1  2  2 | 0  1  2  2 1
.. .. ..    .. .x3.o    |  0  3 |  0   0   3 |   *   *  *   * 160 ♦   0   0   1   0   6 |   0   0   6   0   0  12 |  0  0   0   0  12  0  4  4 | 0  0  4  4 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
.. .. ..    o.3o.3x.    |  4  0 |  6   0   0 |   4   0  0   0   0 | 240   *   *   *   * |   4   0   1   0   0   0 |  2  2   0   0   4  0  0  0 | 1  0  2  2 0
.. .. ..    oo3ox ..&#x |  1  3 |  0   3   3 |   0   3  0   1   0 |   * 960   *   *   * |   0   4   1   0   0   0 |  0  0   2   2   4  0  0  0 | 0  1  2  2 0
.. .. ..    .. ox3xo&#x |  3  3 |  3   6   3 |   1   3  3   0   1 |   *   * 160   *   * ♦   0   0   6   0   0   0 |  0  0   0   0  12  0  0  0 | 0  0  4  4 0
.. .o ..    .o3.x ..    |  0  4 |  0   0   6 |   0   0  0   4   0 |   *   *   * 960   * |   0   1   0   1   1   1 |  0  0   1   1   1  1  1  1 | 0  1  1  1 1
.. .. ..    .o3.x3.o    |  0  6 |  0   0  12 |   0   0  0   4   4 |   *   *   *   * 240 ♦   0   0   1   0   0   4 |  0  0   0   0   4  0  2  2 | 0  0  2  2 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
.. o. .. *b3o.3o.3x.    ♦  5  0 | 10   0   0 |  10   0  0   0   0 |   5   0   0   0   0 | 192   *   *   *   *   * |  1  1   0   0   1  0  0  0 | 1  0  1  1 0
.. oo .. *b3oo3ox ..&#x ♦  1  4 |  0   4   6 |   0   6  0   4   0 |   0   4   0   1   0 |   * 960   *   *   *   * |  0  0   1   1   1  0  0  0 | 0  1  1  1 0
.. .. ..    oo3ox3xo&#x ♦  4  6 |  6  12  12 |   4  12  6   4   4 |   1   4   4   0   1 |   *   * 240   *   *   * |  0  0   0   0   4  0  0  0 | 0  0  2  2 0
.o3.o .. *b3.o3.x ..    ♦  0  5 |  0   0  10 |   0   0  0  10   0 |   0   0   0   5   0 |   *   *   * 192   *   * |  0  0   1   0   0  1  1  0 | 0  1  1  0 1
.. .o3.o *b3.o3.x ..    ♦  0  5 |  0   0  10 |   0   0  0  10   0 |   0   0   0   5   0 |   *   *   *   * 192   * |  0  0   0   1   0  1  0  1 | 0  1  0  1 1
.. .o .. *b3.o3.x3.o    ♦  0 10 |  0   0  30 |   0   0  0  20  10 |   0   0   0   5   5 |   *   *   *   *   * 192 |  0  0   0   0   1  0  1  1 | 0  0  1  1 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
o.3o. .. *b3o.3o.3x.    ♦  6  0 | 15   0   0 |  20   0  0   0   0 |  15   0   0   0   0 |   6   0   0   0   0   0 | 32  *   *   *   *  *  *  * | 1  0  1  0 0
.. o.3o. *b3o.3o.3x.    ♦  6  0 | 15   0   0 |  20   0  0   0   0 |  15   0   0   0   0 |   6   0   0   0   0   0 |  * 32   *   *   *  *  *  * | 1  0  0  1 0
oo3oo .. *b3oo3ox ..&#x ♦  1  5 |  0   5  10 |   0  10  0  10   0 |   0  10   0   5   0 |   0   5   0   1   0   0 |  *  * 192   *   *  *  *  * | 0  1  1  0 0
.. oo3oo *b3oo3ox ..&#x ♦  1  5 |  0   5  10 |   0  10  0  10   0 |   0  10   0   5   0 |   0   5   0   0   1   0 |  *  *   * 192   *  *  *  * | 0  1  0  1 0
.. oo .. *b3oo3ox3xo&#x ♦  5 10 | 10  20  30 |  10  30 10  20  10 |   5  20  10   5   5 |   1   5   5   0   0   1 |  *  *   *   * 192  *  *  * | 0  0  1  1 0
.o3.o3.o *b3.o3.x ..    ♦  0 10 |  0   0  40 |   0   0  0  80   0 |   0   0   0  80   0 |   0   0   0  16  16   0 |  *  *   *   *   * 12  *  * | 0  1  0  0 1
.o3.o .. *b3.o3.x3.o    ♦  0 15 |  0   0  60 |   0   0  0  60  20 |   0   0   0  30  15 |   0   0   0   6   0   6 |  *  *   *   *   *  * 32  * | 0  0  1  0 1
.. .o3.o *b3.o3.x3.o    ♦  0 15 |  0   0  60 |   0   0  0  60  20 |   0   0   0  30  15 |   0   0   0   0   6   6 |  *  *   *   *   *  *  * 32 | 0  0  0  1 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
o.3o.3o. *b3o.3o.3x.    ♦ 12  0 | 60   0   0 | 160   0  0   0   0 | 240   0   0   0   0 | 192   0   0   0   0   0 | 32 32   0   0   0  0  0  0 | 1  *  *  * *
oo3oo3oo *b3oo3ox ..&#x ♦  1 10 |  0  10  40 |   0  40  0  80   0 |   0  80   0  80   0 |   0  80   0  16  16   0 |  0  0  16  16   0  1  0  0 | * 12  *  * *
oo3oo .. *b3oo3ox3xo&#x ♦  6 15 | 15  30  60 |  20  60 15  60  20 |  15  60  20  30  15 |   6  30  15   6   0   6 |  1  0   6   0   6  0  1  0 | *  * 32  * *
.. oo3oo *b3oo3ox3xo&#x ♦  6 15 | 15  30  60 |  20  60 15  60  20 |  15  60  20  30  15 |   6  30  15   0   6   6 |  0  1   0   6   6  0  0  1 | *  *  * 32 *
.o3.o3.o *b3.o3.x3.o    ♦  0 60 |  0   0 480 |   0   0  0 960 160 |   0   0   0 960 240 |   0   0   0 192 192 192 |  0  0   0   0   0 12 32 32 | *  *  *  * 1
```