Acronym ...
Name 2firp (?)
Circumradius sqrt(3/5) = 0.774597
General of army rap
Colonel of regiment rap
Confer
non-Grünbaumian master:
firp  
Grünbaumian relatives:
firp+rap+15{4}  

Looks like a compound of 2 facetted rectified pentachora (firp), and indeed all elements coincide by pairs.


Incidence matrix< according to Dynkin symbol

x3o3o3/2x

. . .   . | 20 |  3  3 |  3  6  3 | 1  3  3 1
----------+----+-------+----------+----------
x . .   . |  2 | 30  * |  2  2  0 | 1  2  1 0
. . .   x |  2 |  * 30 |  0  2  2 | 0  1  2 1
----------+----+-------+----------+----------
x3o .   . |  3 |  3  0 | 20  *  * | 1  1  0 0
x . .   x |  4 |  2  2 |  * 30  * | 0  1  1 0
. . o3/2x |  3 |  0  3 |  *  * 20 | 0  0  1 1
----------+----+-------+----------+----------
x3o3o   .   4 |  6  0 |  4  0  0 | 5  *  * *
x3o .   x   6 |  6  3 |  2  3  0 | * 10  * *
x . o3/2x   6 |  3  6 |  0  3  2 | *  * 10 *
. o3o3/2x   4 |  0  6 |  0  0  4 | *  *  * 5

x3o3/2o3x

. .   . . | 20 |  3  3 |  3  6  3 | 1  3  3 1
----------+----+-------+----------+----------
x .   . . |  2 | 30  * |  2  2  0 | 1  2  1 0
. .   . x |  2 |  * 30 |  0  2  2 | 0  1  2 1
----------+----+-------+----------+----------
x3o   . . |  3 |  3  0 | 20  *  * | 1  1  0 0
x .   . x |  4 |  2  2 |  * 30  * | 0  1  1 0
. .   o3x |  3 |  0  3 |  *  * 20 | 0  0  1 1
----------+----+-------+----------+----------
x3o3/2o .   4 |  6  0 |  4  0  0 | 5  *  * *
x3o   . x   6 |  6  3 |  2  3  0 | * 10  * *
x .   o3x   6 |  3  6 |  0  3  2 | *  * 10 *
. o3/2o3x   4 |  0  6 |  0  0  4 | *  *  * 5
or
. .   . .    | 20 |  6 |  6  6 |  2  6
-------------+----+----+-------+------
x .   . .  & |  2 | 60 |  2  2 |  1  3
-------------+----+----+-------+------
x3o   . .  & |  3 |  3 | 40  * |  1  1
x .   . x    |  4 |  4 |  * 30 |  0  2
-------------+----+----+-------+------
x3o3/2o .  &   4 |  6 |  4  0 | 10  *
x3o   . x  &   6 |  9 |  2  3 |  * 20

x3/2o3/2o3/2x

.   .   .   . | 20 |  3  3 |  3  6  3 | 1  3  3 1
--------------+----+-------+----------+----------
x   .   .   . |  2 | 30  * |  2  2  0 | 1  2  1 0
.   .   .   x |  2 |  * 30 |  0  2  2 | 0  1  2 1
--------------+----+-------+----------+----------
x3/2o   .   . |  3 |  3  0 | 20  *  * | 1  1  0 0
x   .   .   x |  4 |  2  2 |  * 30  * | 0  1  1 0
.   .   o3/2x |  3 |  0  3 |  *  * 20 | 0  0  1 1
--------------+----+-------+----------+----------
x3/2o3/2o   .   4 |  6  0 |  4  0  0 | 5  *  * *
x3/2o   .   x   6 |  6  3 |  2  3  0 | * 10  * *
x   .   o3/2x   6 |  3  6 |  0  3  2 | *  * 10 *
.   o3/2o3/2x   4 |  0  6 |  0  0  4 | *  *  * 5
or
.   .   .   .    | 20 |  6 |  6  6 |  2  6
-----------------+----+----+-------+------
x   .   .   .  & |  2 | 60 |  2  2 |  1  3
-----------------+----+----+-------+------
x3/2o   .   .  & |  3 |  3 | 40  * |  1  1
x   .   .   x    |  4 |  4 |  * 30 |  0  2
-----------------+----+----+-------+------
x3/2o3/2o   .  &   4 |  6 |  4  0 | 10  *
x3/2o   .   x  &   6 |  9 |  2  3 |  * 20

© 2004-2019
top of page