Acronym tiph
Name triangular prismatic honeycomb,
Delone complex of unit-stacked hexagonal lattice
 
 © ©
Confer
general polytopal classes:
noble polytopes  
External
links
wikipedia   polytopewiki

Incidence matrix according to Dynkin symbol

x∞o x3o6o   (N → ∞)

. . . . . | N | 2  6 | 12  6 | 12
----------+---+------+-------+---
x . . . . | 2 | N  * |  6  0 |  6
. . x . . | 2 | * 3N |  2  2 |  4
----------+---+------+-------+---
x . x . . | 4 | 2  2 | 3N  * |  2
. . x3o . | 3 | 0  3 |  * 2N |  2
----------+---+------+-------+---
x . x3o .  6 | 3  6 |  3  2 | 2N

x∞x x3o6o   (N → ∞)

. . . . . | 2N | 1 1  6 |  6  6  6 |  6  6
----------+----+--------+----------+------
x . . . . |  2 | N *  * |  6  0  0 |  6  0
. x . . . |  2 | * N  * |  0  6  0 |  0  6
. . x . . |  2 | * * 6N |  1  1  2 |  2  2
----------+----+--------+----------+------
x . x . . |  4 | 2 0  2 | 3N  *  * |  2  0
. x x . . |  4 | 0 2  2 |  * 3N  * |  0  2
. . x3o . |  3 | 0 0  3 |  *  * 4N |  1  1
----------+----+--------+----------+------
x . x3o .   6 | 3 0  6 |  3  0  2 | 2N  *
. x x3o .   6 | 0 3  6 |  0  3  2 |  * 2N

x∞o x3o3o3*c    (N → ∞)

. . . . .    | N | 2  6 | 12 3 3 | 6 6
-------------+---+------+--------+----
x . . . .    | 2 | N  * |  6 0 0 | 3 3
. . x . .    | 2 | * 3N |  2 1 1 | 2 2
-------------+---+------+--------+----
x . x . .    | 4 | 2  2 | 3N * * | 1 1
. . x3o .    | 3 | 0  3 |  * N * | 2 0
. . x . o3*c | 3 | 0  3 |  * * N | 0 2
-------------+---+------+--------+----
x . x3o .     6 | 3  6 |  3 2 0 | N *
x . x3o .     6 | 3  6 |  3 0 2 | * N

x∞x x3o3o3*c    (N → ∞)

. . . . .    | 2N | 1 1  6 |  6  6  3  3 | 3 3 3 3
-------------+----+--------+-------------+--------
x . . . .    |  2 | N *  * |  6  0  0  0 | 3 3 0 0
. x . . .    |  2 | * N  * |  0  6  0  0 | 0 0 3 3
. . x . .    |  2 | * * 6N |  1  1  1  1 | 1 1 1 1
-------------+----+--------+-------------+--------
x . x . .    |  4 | 2 0  2 | 3N  *  *  * | 1 1 0 0
. x x . .    |  4 | 0 2  2 |  * 3N  *  * | 0 0 1 1
. . x3o .    |  3 | 0 0  3 |  *  * 2N  * | 1 0 1 0
. . x . o3*c |  3 | 0 0  3 |  *  *  * 2N | 0 1 0 1
-------------+----+--------+-------------+--------
x . x3o .      6 | 3 0  6 |  3  0  2  0 | N * * *
x . x3o .      6 | 3 0  6 |  3  0  0  2 | * N * *
. x x3o .      6 | 0 3  6 |  0  3  2  0 | * * N *
. x x3o .      6 | 0 3  6 |  0  3  0  2 | * * * N

x∞o s3s3s3*c    (N → ∞)

. . demi( . . .    ) | 3N |  2  2  2  2 | 1 1 1  4  4  4  3 | 2 2 2  6
---------------------+----+-------------+-------------------+---------
x . demi( . . .    ) |  2 | 3N  *  *  * | 0 0 0  2  2  2  0 | 1 1 1  3
. . sefa( s3s .    ) |  2 |  * 3N  *  * | 1 0 0  2  0  0  1 | 2 0 0  2
. . sefa( s . s3*c ) |  2 |  *  * 3N  * | 0 1 0  0  2  0  1 | 0 2 0  2
. . sefa( . s3s    ) |  2 |  *  *  * 3N | 0 0 1  0  0  2  1 | 0 0 2  2
---------------------+----+-------------+-------------------+---------
. .       s3s .        3 |  0  3  0  0 | N * *  *  *  *  * | 2 0 0  0
. .       s . s3*c     3 |  0  0  3  0 | * N *  *  *  *  * | 0 2 0  0
. .       . s3s        3 |  0  0  0  3 | * * N  *  *  *  * | 0 0 2  0
x . sefa( s3s .    ) |  4 |  2  2  0  0 | * * * 3N  *  *  * | 1 0 0  1
x . sefa( s . s3*c ) |  4 |  2  0  2  0 | * * *  * 3N  *  * | 0 1 0  1
x . sefa( . s3s    ) |  4 |  2  0  0  2 | * * *  *  * 3N  * | 0 0 1  1
. . sefa( s3s3s3*c ) |  3 |  0  1  1  1 | * * *  *  *  * 3N | 0 0 0  2
---------------------+----+-------------+-------------------+---------
x .       s3s .        6 |  3  6  0  0 | 2 0 0  3  0  0  0 | N * *  *
x .       s . s3*c     6 |  3  0  6  0 | 0 2 0  0  3  0  0 | * N *  *
x .       . s3s        6 |  3  0  0  6 | 0 0 2  0  0  3  0 | * * N  *
x . sefa( s3s3s3*c )   6 |  3  2  2  2 | 0 0 0  1  1  1  2 | * * * 3N

x∞x s3s3s3*c    (N → ∞)

. . demi( . . .    ) | 6N |  1  1  2  2  2 |  1  1  1  2  2  2  2  2  2  3 | 1 1 1  3 1 1 1  3
---------------------+----+----------------+-------------------------------+------------------
x . demi( . . .    ) |  2 | 3N  *  *  *  * |  0  0  0  2  2  2  0  0  0  0 | 1 1 1  3 0 0 0  0
. x demi( . . .    ) |  2 |  * 3N  *  *  * |  0  0  0  0  0  0  2  2  2  0 | 0 0 0  0 1 1 1  3
. . sefa( s3s .    ) |  2 |  *  * 6N  *  * |  1  0  0  1  0  0  1  0  0  1 | 1 0 0  1 1 0 0  1
. . sefa( s . s3*c ) |  2 |  *  *  * 6N  * |  0  1  0  0  1  0  0  1  0  1 | 0 1 0  1 0 1 0  1
. . sefa( . s3s    ) |  2 |  *  *  *  * 6N |  0  0  1  0  0  1  0  0  1  1 | 0 0 1  1 0 0 1  1
---------------------+----+----------------+-------------------------------+------------------
. .       s3s .        3 |  0  0  3  0  0 | 2N  *  *  *  *  *  *  *  *  * | 1 0 0  0 1 0 0  0
. .       s . s3*c     3 |  0  0  0  3  0 |  * 2N  *  *  *  *  *  *  *  * | 0 1 0  0 0 1 0  0
. .       . s3s        3 |  0  0  0  0  3 |  *  * 2N  *  *  *  *  *  *  * | 0 0 1  0 0 0 1  0
x . sefa( s3s .    ) |  4 |  2  0  2  0  0 |  *  *  * 3N  *  *  *  *  *  * | 1 0 0  1 0 0 0  0
x . sefa( s . s3*c ) |  4 |  2  0  0  2  0 |  *  *  *  * 3N  *  *  *  *  * | 0 1 0  1 0 0 0  0
x . sefa( . s3s    ) |  4 |  2  0  0  0  2 |  *  *  *  *  * 3N  *  *  *  * | 0 0 1  1 0 0 0  0
. x sefa( s3s .    ) |  4 |  0  2  2  0  0 |  *  *  *  *  *  * 3N  *  *  * | 0 0 0  0 1 0 0  1
. x sefa( s . s3*c ) |  4 |  0  2  0  2  0 |  *  *  *  *  *  *  * 3N  *  * | 0 0 0  0 0 1 0  1
. x sefa( . s3s    ) |  4 |  0  2  0  0  2 |  *  *  *  *  *  *  *  * 3N  * | 0 0 0  0 0 0 1  1
. . sefa( s3s3s3*c ) |  3 |  0  0  1  1  1 |  *  *  *  *  *  *  *  *  * 6N | 0 0 0  1 0 0 0  1
---------------------+----+----------------+-------------------------------+------------------
x .       s3s .        6 |  3  0  6  0  0 |  2  0  0  3  0  0  0  0  0  0 | N * *  * * * *  *
x .       s . s3*c     6 |  3  0  0  6  0 |  0  2  0  0  3  0  0  0  0  0 | * N *  * * * *  *
x .       . s3s        6 |  3  0  0  0  6 |  0  0  2  0  0  3  0  0  0  0 | * * N  * * * *  *
x . sefa( s3s3s3*c )   6 |  3  0  2  2  2 |  0  0  0  1  1  1  0  0  0  2 | * * * 3N * * *  *
. x       s3s .        6 |  0  3  6  0  0 |  2  0  0  0  0  0  3  0  0  0 | * * *  * N * *  *
. x       s . s3*c     6 |  0  3  0  6  0 |  0  2  0  0  0  0  0  3  0  0 | * * *  * * N *  *
. x       . s3s        6 |  0  3  0  0  6 |  0  0  2  0  0  0  0  0  3  0 | * * *  * * * N  *
. x sefa( s3s3s3*c )   6 |  0  3  2  2  2 |  0  0  0  0  0  0  1  1  1  2 | * * *  * * * * 3N

© 2004-2021
top of page