E     O
       
       
   c   

where:
E = x3o3o *b3o (hex)
O = o3o3x *b3o (gyro hex)
c = central co section of o3x3o *b3o (ico)

x3o3o           
                
           x3o3o
                
        o3o3x   
                
 o3o3x          

                
                
                
     x3o3x      
                
                
                

Incidence matrix according to Dynkin symbol

(xo)o (ox)o (xo)x3(oo)o3(ox)x&#x   → height(1,2) = 0 (to be considered as according tegum sum)
                                     height(1,3) = height(2,3) = sqrt(3/8) = 0.612372
(hin || co)

(o.). (o.). (o.).3(o.).3(o.).    & | 16  * | 1  3  6  3  0 |  3  9 18  3  6  3  6 0 0 | 1  3 12  8  6  3  3  3  1  9 18 0 | 3  5 2 1 1  3 12  8  6 | 1 3  5 2
(..)o (..)o (..)o3(..)o3(..)o      |  * 12 | 0  0  0  4  4 |  0  0  0  2  8  8  4 2 2 | 0  0  0  0  0  4  4  8  4  4 16 1 | 0  0 0 2 4  1  8  8  8 | 0 2  4 4
-----------------------------------+-------+---------------+--------------------------+-----------------------------------+------------------------+---------
(x.). (..). (..). (..). (..).    & |  2  0 | 8  *  *  *  * |  0  6  0  3  0  0  0 0 0 | 0  3  6  0  0  3  0  0  0  6  0 0 | 3  2 0 1 0  3  6  0  0 | 1 3  2 0
(..). (..). (x.). (..). (..).    & |  2  0 | * 24  *  *  * |  2  0  4  0  2  0  0 0 0 | 1  0  2  4  2  0  2  1  0  0  4 0 | 1  2 2 0 1  0  2  4  2 | 1 1  2 2
(oo). (oo). (oo).3(oo).3(oo).&#x   |  2  0 | *  * 48  *  * |  0  2  4  0  0  0  1 0 0 | 0  1  4  2  2  0  0  0  0  2  4 0 | 2  2 1 0 0  1  4  2  2 | 1 2  2 1
(o.)o (o.)o (o.)o3(o.)o3(o.)o&#x & |  1  1 | *  *  * 48  * |  0  0  0  1  2  2  2 0 0 | 0  0  0  0  0  2  1  2  1  3  8 0 | 0  0 0 1 1  1  6  4  4 | 0 2  3 2
(..). (..). (..)x (..). (..).    & |  0  2 | *  *  *  * 24 |  0  0  0  0  2  2  0 1 1 | 0  0  0  0  0  1  2  4  2  0  4 1 | 0  0 0 1 4  0  2  4  4 | 0 1  2 4
-----------------------------------+-------+---------------+--------------------------+-----------------------------------+------------------------+---------
(..). (..). (x.).3(o.). (..).    & |  3  0 | 0  3  0  0  0 | 16  *  *  *  *  *  * * * | 1  0  0  2  0  0  1  0  0  0  0 0 | 0  1 2 0 1  0  0  2  0 | 1 0  1 2
(xo). (..). (..). (..). (..).&#x & |  3  0 | 1  0  2  0  0 |  * 48  *  *  *  *  * * * | 0  1  2  0  0  0  0  0  0  1  0 0 | 2  1 0 0 0  1  2  0  0 | 1 2  1 0
(..). (..). (xo). (..). (..).&#x & |  3  0 | 0  1  2  0  0 |  *  * 96  *  *  *  * * * | 0  0  1  1  1  0  0  0  0  0  1 0 | 1  1 1 0 0  0  1  1  1 | 1 1  1 1
(x.)o (..). (..). (..). (..).&#x & |  2  1 | 1  0  0  2  0 |  *  *  * 24  *  *  * * * | 0  0  0  0  0  2  0  0  0  2  0 0 | 0  0 0 1 0  1  4  0  0 | 0 2  2 0
(..). (..). (x.)x (..). (..).&#x & |  2  2 | 0  1  0  2  1 |  *  *  *  * 48  *  * * * | 0  0  0  0  0  0  1  1  0  0  2 0 | 0  0 0 0 1  0  1  2  2 | 0 1  1 2
(..). (..). (..). (..). (o.)x&#x & |  1  2 | 0  0  0  2  1 |  *  *  *  *  * 48  * * * | 0  0  0  0  0  1  0  1  1  0  2 0 | 0  0 0 1 1  0  2  2  2 | 0 1  2 2
(oo)o (oo)o (oo)o3(oo)o3(oo)o&#x   |  2  1 | 0  0  1  2  0 |  *  *  *  *  *  * 48 * * | 0  0  0  0  0  0  0  0  0  2  4 0 | 0  0 0 0 0  1  4  2  2 | 0 2  2 1
(..). (..). (..)x3(..)o (..).    & |  0  3 | 0  0  0  0  3 |  *  *  *  *  *  *  * 8 * | 0  0  0  0  0  0  2  0  2  0  0 1 | 0  0 0 1 4  0  0  4  0 | 0 0  2 4
(..). (..). (..)x (..). (..)x      |  0  4 | 0  0  0  0  4 |  *  *  *  *  *  *  * * 6 | 0  0  0  0  0  0  0  4  0  0  0 1 | 0  0 0 0 4  0  0  0  4 | 0 1  0 4
-----------------------------------+-------+---------------+--------------------------+-----------------------------------+------------------------+---------
(..). (..). (x.).3(o.).3(o.).    & ♦  4  0 | 0  6  0  0  0 |  4  0  0  0  0  0  0 0 0 | 4  *  *  *  *  *  *  *  *  *  * * | 0  0 2 0 1  0  0  0  0 | 1 0  0 2
(xo). (ox). (..). (..). (..).&#x   ♦  4  0 | 2  0  4  0  0 |  0  4  0  0  0  0  0 0 0 | * 12  *  *  *  *  *  *  *  *  * * | 2  0 0 0 0  1  0  0  0 | 1 2  0 0
(xo). (..). (..). (..). (ox).&#x & ♦  4  0 | 1  1  4  0  0 |  0  2  2  0  0  0  0 0 0 | *  * 48  *  *  *  *  *  *  *  * * | 1  1 0 0 0  0  1  0  0 | 1 1  1 0
(..). (..). (xo).3(oo). (..).&#x & ♦  4  0 | 0  3  3  0  0 |  1  0  3  0  0  0  0 0 0 | *  *  * 32  *  *  *  *  *  *  * * | 0  1 1 0 0  0  0  1  0 | 1 0  1 1
(..). (..). (xo). (..). (ox).&#x   ♦  4  0 | 0  2  4  0  0 |  0  0  4  0  0  0  0 0 0 | *  *  *  * 24  *  *  *  *  *  * * | 1  0 1 0 0  0  0  0  1 | 1 1  0 1
(x.)o (..). (..). (..). (o.)x&#x & ♦  2  2 | 1  0  0  4  1 |  0  0  0  2  0  2  0 0 0 | *  *  *  *  * 24  *  *  *  *  * * | 0  0 0 1 0  0  2  0  0 | 0 1  2 0
(..). (..). (x.)x3(o.)o (..).&#x & ♦  3  3 | 0  3  0  3  3 |  1  0  0  0  3  0  0 1 0 | *  *  *  *  *  * 16  *  *  *  * * | 0  0 0 0 1  0  0  2  0 | 0 0  1 2
(..). (..). (x.)x (..). (o.)x&#x & ♦  2  4 | 0  1  0  4  4 |  0  0  0  0  2  2  0 0 1 | *  *  *  *  *  *  * 24  *  *  * * | 0  0 0 0 1  0  0  0  2 | 0 1  0 2
(..). (..). (..). (o.)o3(o.)x&#x & ♦  1  3 | 0  0  0  3  3 |  0  0  0  0  0  3  0 1 0 | *  *  *  *  *  *  *  * 16  *  * * | 0  0 0 1 1  0  0  2  0 | 0 0  2 2
(xo)o (..). (..). (..). (..).&#x & ♦  3  1 | 1  0  2  3  0 |  0  1  0  1  0  0  2 0 0 | *  *  *  *  *  *  *  *  * 48  * * | 0  0 0 0 0  1  2  0  0 | 0 2  1 0
(..). (..). (xo)x (..). (..).&#x & ♦  3  2 | 0  1  2  4  1 |  0  0  1  0  1  1  2 0 0 | *  *  *  *  *  *  *  *  *  * 96 * | 0  0 0 0 0  0  1  1  1 | 0 1  1 1
(..). (..). (..)x3(..)o3(..)x      ♦  0 12 | 0  0  0  0 24 |  0  0  0  0  0  0  0 8 6 | *  *  *  *  *  *  *  *  *  *  * 1 | 0  0 0 0 4  0  0  0  0 | 0 0  0 4
-----------------------------------+-------+---------------+--------------------------+-----------------------------------+------------------------+---------
(xo). (ox). (xo). (..). (ox).&#zx  ♦  8  0 | 4  4 16  0  0 |  0 16 16  0  0  0  0 0 0 | 0  4  8  0  4  0  0  0  0  0  0 0 | 6  * * * *  *  *  *  * | 1 1  0 0
(xo). (..). (..). (oo).3(ox).&#x & ♦  5  0 | 1  3  6  0  0 |  1  3  6  0  0  0  0 0 0 | 0  0  3  2  0  0  0  0  0  0  0 0 | * 16 * * *  *  *  *  * | 1 0  1 0
(..). (..). (xo).3(oo).3(ox).&#x   ♦  8  0 | 0 12 12  0  0 |  8  0 24  0  0  0  0 0 0 | 2  0  0  8  6  0  0  0  0  0  0 0 | *  * 4 * *  *  *  *  * | 1 0  0 1
(x.)o (..). (..). (o.)o3(o.)x&#x & ♦  2  3 | 1  0  0  6  3 |  0  0  0  3  0  6  0 1 0 | 0  0  0  0  0  3  0  0  2  0  0 0 | *  * * 8 *  *  *  *  * | 0 0  2 0
(..). (..). (x.)x3(o.)o3(o.)x&#x & ♦  4 12 | 0  6  0 12 24 |  4  0  0  0 12 12  0 8 6 | 1  0  0  0  0  0  4  6  4  0  0 1 | *  * * * 4  *  *  *  * | 0 0  0 2
(xo)o (ox)o (..). (..). (..).&#x & ♦  4  1 | 2  0  4  4  0 |  0  4  0  2  0  0  4 0 0 | 0  1  0  0  0  0  0  0  0  4  0 0 | *  * * * * 12  *  *  * | 0 2  0 0
(xo)o (..). (..). (..). (ox)x&#x & ♦  4  2 | 1  1  4  6  1 |  0  2  2  2  1  2  4 0 0 | 0  0  1  0  0  1  0  0  0  2  2 0 | *  * * * *  * 48  *  * | 0 1  1 0
(..). (..). (xo)x3(oo)o (..).&#x & ♦  4  3 | 0  3  3  6  3 |  1  0  3  0  3  3  3 1 0 | 0  0  0  1  0  0  1  0  1  0  3 0 | *  * * * *  *  * 32  * | 0 0  1 1
(..). (..). (xo)x (..). (ox)x&#x   ♦  4  4 | 0  2  4  8  4 |  0  0  4  0  4  4  4 0 1 | 0  0  0  0  1  0  0  2  0  0  4 0 | *  * * * *  *  *  * 24 | 0 1  0 1
-----------------------------------+-------+---------------+--------------------------+-----------------------------------+------------------------+---------
(xo). (ox). (xo).3(oo).3(ox).&#zx  ♦ 16  0 | 8 24 48  0  0 | 16 48 96  0  0  0  0 0 0 | 4 12 48 32 24  0  0  0  0  0  0 0 | 6 16 4 0 0  0  0  0  0 | 1 *  * *
(xo)o (ox)o (xo)x (..). (ox)x&#x   ♦  8  4 | 4  4 16 16  4 |  0 16 16  8  8  8 16 0 1 | 0  4  8  0  4  4  0  4  0 16 16 0 | 1  0 0 0 0  4  8  0  4 | * 6  * *
(xo)o (..). (..). (oo)o3(ox)x&#x & ♦  5  3 | 1  3  6  9  3 |  1  3  6  3  3  6  6 1 0 | 0  0  3  2  0  3  1  0  2  3  6 0 | 0  1 0 1 0  0  3  2  0 | * * 16 *
(..). (..). (xo)x3(oo)o3(ox)x&#x   ♦  8 12 | 0 12 12 24 24 |  8  0 24  0 24 24 12 8 6 | 2  0  0  8  6  0  8 12  8  0 24 1 | 0  0 1 0 2  0  0  8  6 | * *  * 4