Acronym ...
Name hyperbolic x3o6o3o6*a honeycomb,
hyperbolic triangular-tiling - hexagonal-tiling honeycomb
Circumradius 0 i
External
links
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This regular non-compact hyperbolic tesselation uses hexat, trat, and that in the sense of infinite horohedra for its cell types.


Incidence matrix according to Dynkin symbol

x3o6o3o6*a   (N,M,K,L,P → ∞)

. . . .    | NKLP |     6M |      6M   6M |    M   3M   2M
-----------+------+--------+--------------+---------------
x . . .    |    2 | 3NMKLP |       2    2 |    1    2    1
-----------+------+--------+--------------+---------------
x3o . .    |    3 |      3 | 2NMKLP     * |    1    1    0
x . . o6*a |    6 |      6 |      * NMKLP |    0    1    1
-----------+------+--------+--------------+---------------
x3o6o .        K |     3K |     2K     0 | NMLP    *    *
x3o . o6*a    3L |     6L |     2L     L |    * NMKP    *
x . o3o6*a    2P |     3P |      0     P |    *    * NMKL

x3x3x3o3o3o3*aØ*d *b3*d3*f3*bØ*e *c3*e3*a3*cØ*f   (N,M,K,L,P,Q,R,S,T → ∞)

. . . . . .                                     | NKLPQRST |         6M         6M         6M |        6M        6M        3M        3M        6M        3M        3M        3M        3M |       6M       3M       3M        M       3M        M        M
------------------------------------------------+----------+----------------------------------+-------------------------------------------------------------------------------------------+---------------------------------------------------------------
x . . . . .                                     |        2 | 3NMKLPQRST          *          * |         1         1         1         1         0         0         0         0         0 |        1        1        1        1        0        0        0
. x . . . .                                     |        2 |          * 3NMKLPQRST          * |         1         0         0         0         1         1         1         0         0 |        1        1        0        0        1        1        0
. . x . . .                                     |        2 |          *          * 3NMKLPQRST |         0         1         0         0         1         0         0         1         1 |        1        0        1        0        1        0        1
------------------------------------------------+----------+----------------------------------+-------------------------------------------------------------------------------------------+---------------------------------------------------------------
x3x . . . .                                     |        6 |          3          3          0 | NMKLPQRST         *         *         *         *         *         *         *         * |        1        1        0        0        0        0        0
x . x . . .                            *a3*c    |        6 |          3          0          3 |         * NMKLPQRST         *         *         *         *         *         *         * |        1        0        1        0        0        0        0
x . . . o .                         *e3*a       |        3 |          3          0          0 |         *         * NMKLPQRST         *         *         *         *         *         * |        0        0        1        1        0        0        0
x . . . . o3*a                                  |        3 |          3          0          0 |         *         *         * NMKLPQRST         *         *         *         *         * |        0        1        0        1        0        0        0
. x3x . . .                                     |        6 |          0          3          3 |         *         *         *         * NMKLPQRST         *         *         *         * |        1        0        0        0        1        0        0
. x . o . .       *b3*d                         |        3 |          0          3          0 |         *         *         *         *         * NMKLPQRST         *         *         * |        0        0        0        0        1        1        0
. x . . . o             *f3*b                   |        3 |          0          3          0 |         *         *         *         *         *         * NMKLPQRST         *         * |        0        1        0        0        0        1        0
. . x3o . .                                     |        3 |          0          0          3 |         *         *         *         *         *         *         * NMKLPQRST         * |        0        0        0        0        1        0        1
. . x . o .                      *c3*e          |        3 |          0          0          3 |         *         *         *         *         *         *         *         * NMKLPQRST |        0        0        1        0        0        0        1
------------------------------------------------+----------+----------------------------------+-------------------------------------------------------------------------------------------+---------------------------------------------------------------
x3x3x . . .                            *a3*c           6K |         3K         3K         3K |         K         K         0         0         K         0         0         0         0 | NMLPQRST        *        *        *        *        *        *
x3x . . . o3*a          *f3*b                          3L |         3L         3L          0 |         L         0         0         L         0         0         L         0         0 |        * NMKPQRST        *        *        *        *        *
x . x . o .                      *c3*e3*a3*c           3P |         3P          0         3P |         0         P         P         0         0         0         0         0         P |        *        * NMKLQRST        *        *        *        *
x . . . o3o3*a                      *e3*a               Q |         3Q          0          0 |         0         0         Q         Q         0         0         0         0         0 |        *        *        * NMKLPRST        *        *        *
. x3x3o . .       *b3*d                                3R |          0         3R         3R |         0         0         0         0         R         R         0         R         0 |        *        *        *        * NMKLPQST        *        *
. x . o . o       *b3*d3*f3*b                           S |          0         3S          0 |         0         0         0         0         0         S         S         0         0 |        *        *        *        *        * NMKLPQRT        *
. . x3o3o .                      *c3*e                  T |          0          0         3T |         0         0         0         0         0         0         0         T         T |        *        *        *        *        *        * NMKLPQRS

x3o3x3o3x3o3*aØ*d *b3*d3*f3*bØ*e *c3*e3*a3*cØ*f   (N,M,K,L,P,Q,R,S,T → ∞)

. . . . . .                                     | NKLPQRST |         6M         6M         6M |        3M        6M        6M        3M        3M        3M        6M        3M        3M |       3M        M       6M       3M        M       3M        M
------------------------------------------------+----------+----------------------------------+-------------------------------------------------------------------------------------------+---------------------------------------------------------------
x . . . . .                                     |        2 | 3NMKLPQRST          *          * |         1         1         1         1         0         0         0         0         0 |        1        1        1        1        0        0        0
. . x . . .                                     |        2 |          * 3NMKLPQRST          * |         0         1         0         0         1         1         1         0         0 |        1        0        1        0        1        1        0
. . . . x .                                     |        2 |          *          * 3NMKLPQRST |         0         0         1         0         0         0         1         1         1 |        0        0        1        1        0        1        1
------------------------------------------------+----------+----------------------------------+-------------------------------------------------------------------------------------------+---------------------------------------------------------------
x3o . . . .                                     |        3 |          3          0          0 | NMKLPQRST         *         *         *         *         *         *         *         * |        1        1        0        0        0        0        0
x . x . . .                            *a3*c    |        6 |          3          3          0 |         * NMKLPQRST         *         *         *         *         *         *         * |        1        0        1        0        0        0        0
x . . . x .                         *e3*a       |        6 |          3          0          3 |         *         * NMKLPQRST         *         *         *         *         *         * |        0        0        1        1        0        0        0
x . . . . o3*a                                  |        3 |          3          0          0 |         *         *         * NMKLPQRST         *         *         *         *         * |        0        1        0        1        0        0        0
. o3x . . .                                     |        3 |          0          3          0 |         *         *         *         * NMKLPQRST         *         *         *         * |        1        0        0        0        1        0        0
. . x3o . .                                     |        3 |          0          3          0 |         *         *         *         *         * NMKLPQRST         *         *         * |        0        0        0        0        1        1        0
. . x . x .                      *c3*e          |        6 |          0          3          3 |         *         *         *         *         *         * NMKLPQRST         *         * |        0        0        1        0        0        1        0
. . . o3x .                                     |        3 |          0          0          3 |         *         *         *         *         *         *         * NMKLPQRST         * |        0        0        0        0        0        1        1
. . . . x3o                                     |        3 |          0          0          3 |         *         *         *         *         *         *         *         * NMKLPQRST |        0        0        0        1        0        0        1
------------------------------------------------+----------+----------------------------------+-------------------------------------------------------------------------------------------+---------------------------------------------------------------
x3o3x . . .                            *a3*c           3K |         3K         3K          0 |         K         K         0         0         K         0         0         0         0 | NMLPQRST        *        *        *        *        *        *
x3o . . . o3*a          *f3*b                           L |         3L          0          0 |         L         0         0         L         0         0         0         0         0 |        * NMKPQRST        *        *        *        *        *
x . x . x .                      *c3*e3*a3*c           6P |         3P         3P         3P |         0         P         P         0         0         0         P         0         0 |        *        * NMKLQRST        *        *        *        *
x . . . x3o3*a                      *e3*a              3Q |         3Q          0         3Q |         0         0         Q         Q         0         0         0         0         Q |        *        *        * NMKLPRST        *        *        *
. o3x3o . .       *b3*d                                 R |          0         3R          0 |         0         0         0         0         R         R         0         0         0 |        *        *        *        * NMKLPQST        *        *
. . x3o3x .                      *c3*e                 3S |          0         3S         3S |         0         0         0         0         0         S         S         S         0 |        *        *        *        *        * NMKLPQRT        *
. . . o3x3o          *d3*f                              T |          0          0         3T |         0         0         0         0         0         0         0         T         T |        *        *        *        *        *        * NMKLPQRS

(in fact, this is just a different linearization of the same, but differently oriented extended Dynkin symbol, as above)

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