I  
     
E   O

where:
I = o3x3o *b3o (ico)
E = o3o3x *b3o (hex)
O = o3o3o *b3x (alt. hex)

Incidence matrix according to Dynkin symbol

ooo3xoo3oxo *b3oox&#x   → height(1,2) = height(1,3) = height(2,3) = 1/sqrt(2) = 0.707107
                          height(1,23) = height(2,13) = height(3,12) = sqrt(3/8) = 0.612372
(ico || hin)
(ico || hin)

o..3o..3o.. *b3o..      | 24  * |  8  4  0  0 |  4  8  16  2  4  0  0 |  4 2  8  8  8  8  4  0  0  0  0 | 1  4  4  4  4  8  1 0  0 0 | 2  4 2 0
.o.3.o.3.o. *b3.o.    & |  * 16 |  0  6  6  4 |  0  0  12  6 12 12 18 |  0 0  4 12  4 12 18  4  4 16  6 | 0  4  1  4  4 16  6 1  5 4 | 1  5 4 1
------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+---------
... x.. ...    ...      |  2  0 | 96  *  *  * |  1  2   2  0  0  0  0 |  2 1  2  2  2  1  0  0  0  0  0 | 1  2  2  2  1  2  0 0  0 0 | 2  2 1 0
oo.3oo.3oo. *b3oo.&#x & |  1  1 |  * 96  *  * |  0  0   4  1  2  0  0 |  0 0  2  4  2  4  3  0  0  0  0 | 0  2  1  2  2  6  1 0  0 0 | 1  3 2 0
... ... .x.    ...    & |  0  2 |  *  * 48  * |  0  0   0  1  0  4  2 |  0 0  0  4  0  0  2  2  2  4  1 | 0  2  0  2  0  4  1 1  2 2 | 1  2 2 1
.oo3.oo3.oo *b3.oo&#x   |  0  2 |  *  *  * 32 |  0  0   0  0  3  0  6 |  0 0  0  0  0  3  6  0  0  6  3 | 0  0  0  0  1  6  3 0  2 3 | 0  2 3 1
------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+---------
o..3x.. ...    ...      |  3  0 |  3  0  0  0 | 32  *   *  *  *  *  * |  2 0  2  0  0  0  0  0  0  0  0 | 1  2  2  0  1  0  0 0  0 0 | 2  2 0 0
... x..3o..    ...    & |  3  0 |  3  0  0  0 |  * 64   *  *  *  *  * |  1 1  0  1  1  0  0  0  0  0  0 | 1  1  1  2  0  1  0 0  0 0 | 2  1 1 0
... xo. ...    ...&#x & |  2  1 |  1  2  0  0 |  *  * 192  *  *  *  * |  0 0  1  1  1  1  0  0  0  0  0 | 0  1  1  1  1  2  0 0  0 0 | 1  2 1 0
... ... ox.    ...&#x & |  1  2 |  0  2  1  0 |  *  *   * 48  *  *  * |  0 0  0  4  0  0  2  0  0  0  0 | 0  2  0  2  0  4  1 0  0 0 | 1  2 2 0
ooo3ooo3ooo *b3ooo&#x   |  1  2 |  0  2  0  1 |  *  *   *  * 96  *  * |  0 0  0  0  0  2  2  0  0  0  0 | 0  0  0  0  1  4  1 0  0 0 | 0  2 2 0
... .o.3.x.    ...    & |  0  3 |  0  0  3  0 |  *  *   *  *  * 64  * |  0 0  0  1  0  0  0  1  1  1  0 | 0  1  0  1  0  1  0 1  1 1 | 1  1 1 1
... ... .xo    ...&#x & |  0  3 |  0  0  1  2 |  *  *   *  *  *  * 96 |  0 0  0  0  0  0  1  0  0  2  1 | 0  0  0  0  0  2  1 0  1 2 | 0  1 2 1
------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+---------
o..3x..3o..    ...    & ♦  6  0 | 12  0  0  0 |  4  4   0  0  0  0  0 | 16 *  *  *  *  *  *  *  *  *  * | 1  1  1  0  0  0  0 0  0 0 | 2  1 0 0
... x..3o.. *b3o..      ♦  6  0 | 12  0  0  0 |  0  8   0  0  0  0  0 |  * 8  *  *  *  *  *  *  *  *  * | 1  0  0  2  0  0  0 0  0 0 | 2  0 1 0
oo.3xo. ...    ...&#x   ♦  3  1 |  3  3  0  0 |  1  0   3  0  0  0  0 |  * * 64  *  *  *  *  *  *  *  * | 0  1  1  0  1  0  0 0  0 0 | 1  2 0 0
... xo.3ox.    ...&#x & ♦  3  3 |  3  6  3  0 |  0  1   3  3  0  1  0 |  * *  * 64  *  *  *  *  *  *  * | 0  1  0  1  0  1  0 0  0 0 | 1  1 1 0
... xo. ... *b3oo.&#x & ♦  3  1 |  3  3  0  0 |  0  1   3  0  0  0  0 |  * *  *  * 64  *  *  *  *  *  * | 0  0  1  1  0  1  0 0  0 0 | 1  1 1 0
... xoo ...    ...&#x   ♦  2  2 |  1  4  0  1 |  0  0   2  0  2  0  0 |  * *  *  *  * 96  *  *  *  *  * | 0  0  0  0  1  2  0 0  0 0 | 0  2 1 0
... ... oxo    ...&#x & ♦  1  3 |  0  3  1  2 |  0  0   0  1  2  0  1 |  * *  *  *  *  * 96  *  *  *  * | 0  0  0  0  0  2  1 0  0 0 | 0  1 2 0
.o.3.o.3.x.    ...    & ♦  0  4 |  0  0  6  0 |  0  0   0  0  0  4  0 |  * *  *  *  *  *  * 16  *  *  * | 0  1  0  0  0  0  0 1  1 0 | 1  1 0 1
... .o.3.x. *b3.o.    & ♦  0  4 |  0  0  6  0 |  0  0   0  0  0  4  0 |  * *  *  *  *  *  *  * 16  *  * | 0  0  0  1  0  0  0 1  0 1 | 1  0 1 1
... .oo3.xo    ...&#x & ♦  0  4 |  0  0  3  3 |  0  0   0  0  0  1  3 |  * *  *  *  *  *  *  *  * 64  * | 0  0  0  0  0  1  0 0  1 1 | 0  1 1 1
... ... .xo    .ox&#x   ♦  0  4 |  0  0  2  4 |  0  0   0  0  0  0  4 |  * *  *  *  *  *  *  *  *  * 24 | 0  0  0  0  0  0  1 0  0 2 | 0  0 2 1
------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+---------
o..3x..3o.. *b3o..      ♦ 24  0 | 96  0  0  0 | 32 64   0  0  0  0  0 | 16 8  0  0  0  0  0  0  0  0  0 | 1  *  *  *  *  *  * *  * * | 2  0 0 0
oo.3xo.3ox.    ...&#x & ♦  6  4 | 12 12  6  0 |  4  4  12  6  0  4  0 |  1 0  4  4  0  0  0  1  0  0  0 | * 16  *  *  *  *  * *  * * | 1  1 0 0
oo.3xo. ... *b3oo.&#x & ♦  6  1 | 12  6  0  0 |  4  4  12  0  0  0  0 |  1 0  4  0  4  0  0  0  0  0  0 | *  * 16  *  *  *  * *  * * | 1  1 0 0
... xo.3ox. *b3oo.&#x & ♦  6  4 | 12 12  6  0 |  0  8  12  6  0  4  0 |  0 1  0  4  4  0  0  0  1  0  0 | *  *  * 16  *  *  * *  * * | 1  0 1 0
ooo3xoo ...    ...&#x   ♦  3  2 |  3  6  0  1 |  1  0   6  0  3  0  0 |  0 0  2  0  0  3  0  0  0  0  0 | *  *  *  * 32  *  * *  * * | 0  2 0 0
... xoo3oxo    ...&#x & ♦  3  4 |  3  9  3  3 |  0  1   6  3  6  1  3 |  0 0  0  1  1  3  3  0  0  1  0 | *  *  *  *  * 64  * *  * * | 0  1 1 0
... ... oxo    oox&#x   ♦  1  4 |  0  4  2  4 |  0  0   0  2  4  0  4 |  0 0  0  0  0  0  4  0  0  0  1 | *  *  *  *  *  * 24 *  * * | 0  0 2 0
.o.3.o.3.x. *b3.o.    & ♦  0  8 |  0  0 24  0 |  0  0   0  0  0 32  0 |  0 0  0  0  0  0  0  8  8  0  0 | *  *  *  *  *  *  * 2  * * | 1  0 0 1
.oo3.oo3.xo    ...&#x & ♦  0  5 |  0  0  6  4 |  0  0   0  0  0  4  6 |  0 0  0  0  0  0  0  1  0  4  0 | *  *  *  *  *  *  * * 16 * | 0  1 0 1
... .oo3.xo *b3.ox&#x   ♦  0  8 |  0  0 12 12 |  0  0   0  0  0  8 24 |  0 0  0  0  0  0  0  0  2  8  6 | *  *  *  *  *  *  * *  * 8 | 0  0 1 1
------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+---------
oo.3xo.3ox. *b3oo.&#x & ♦ 24  8 | 96 48 24  0 | 32 64  96 24  0 32  0 | 16 8 32 32 32  0  0  8  8  0  0 | 1  8  8  8  0  0  0 1  0 0 | 2  * * *
ooo3xoo3oxo    ...&#x & ♦  6  5 | 12 18  6  4 |  4  4  24  6 12  4  6 |  1 0  8  4  4 12  6  1  0  4  0 | 0  1  1  0  4  4  0 0  1 0 | * 16 * *
... xoo3oxo *b3oox&#x   ♦  6  8 | 12 24 12 12 |  0  8  24 12 24  8 24 |  0 1  0  8  8 12 24  0  2  8  6 | 0  0  0  2  0  8  6 0  0 1 | *  * 8 *
.oo3.oo3.xo *b3.ox&#x   ♦  0 16 |  0  0 48 32 |  0  0   0  0  0 64 96 |  0 0  0  0  0  0  0 16 16 64 24 | 0  0  0  0  0  0  0 2 16 8 | *  * * 1