Acronym rappip
Name rectified-pentachoron prism,
vertex figure of rojak
Circumradius sqrt(17/20) = 0.921954
Lace city
in approx. ASCII-art
     o x x     x o x     		- tepe
                         
                         
                         
                         
                         
                         
o o x     x x x     o o x		- ope
Confer
related segmentotera:
trippyp   tepacube   traffip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x o3x3o3o

. . . . . | 20 |  1  6 |  6  3  6 |  3  6  3  2 | 3 2 1
----------+----+-------+----------+-------------+------
x . . . . |  2 | 10  *   6  0  0 |  3  6  0  0 | 3 2 0
. . x . . |  2 |  * 60 |  1  1  2 |  1  2  2  1 | 2 1 1
----------+----+-------+----------+-------------+------
x . x . . |  4 |  2  2 | 30  *  * |  1  2  0  0 | 2 1 0
. o3x . . |  3 |  0  3 |  * 20  * |  1  0  2  0 | 2 0 1
. . x3o . |  3 |  0  3 |  *  * 40 |  0  1  1  1 | 1 1 1
----------+----+-------+----------+-------------+------
x o3x . .   6 |  3  6 |  3  2  0 | 10  *  *  * | 2 0 0
x . x3o .   6 |  3  6 |  3  0  2 |  * 20  *  * | 1 1 0
. o3x3o .   6 |  0 12 |  0  4  4 |  *  * 10  * | 1 0 1
. . x3o3o   4 |  0  6 |  0  0  4 |  *  *  * 10 | 0 1 1
----------+----+-------+----------+-------------+------
x o3x3o .  12 |  6 24 | 12  8  8 |  4  4  2  0 | 5 * *
x . x3o3o   8 |  4 12 |  6  0  8 |  0  4  0  2 | * 5 *
. o3x3o3o  10 |  0 30 |  0 10 20 |  0  0  5  5 | * * 2

oo3xx3oo3oo&#x   → height = 1
(rap || rap)

o.3o.3o.3o.    | 10  * |  6  1  0 |  3  6  6  0  0 | 3 2  3  6 0 0 | 1 3 2 0
.o3.o3.o3.o    |  * 10 |  0  1  6 |  0  0  6  3  6 | 0 0  3  6 3 2 | 0 3 2 1
---------------+-------+----------+----------------+---------------+--------
.. x. .. ..    |  2  0 | 30  *  * |  1  2  1  0  0 | 2 1  1  2 0 0 | 1 2 1 0
oo3oo3oo3oo&#x |  1  1 |  * 10  *   0  0  6  0  0 | 0 0  3  6 0 0 | 0 3 2 0
.. .x .. ..    |  0  2 |  *  * 30 |  0  0  1  1  2 | 0 0  1  2 2 1 | 0 2 1 1
---------------+-------+----------+----------------+---------------+--------
o.3x. .. ..    |  3  0 |  3  0  0 | 10  *  *  *  * | 2 0  1  0 0 0 | 1 2 0 0
.. x.3o. ..    |  3  0 |  3  0  0 |  * 20  *  *  * | 1 1  0  1 0 0 | 1 1 1 0
.. xx .. ..&#x |  2  2 |  1  2  1 |  *  * 30  *  * | 0 0  1  2 0 0 | 0 2 1 0
.o3.x .. ..    |  0  3 |  0  0  3 |  *  *  * 10  * | 0 0  1  0 2 0 | 0 2 0 1
.. .x3.o ..    |  0  3 |  0  0  3 |  *  *  *  * 20 | 0 0  0  1 1 1 | 0 1 1 1
---------------+-------+----------+----------------+---------------+--------
o.3x.3o. ..      6  0 | 12  0  0 |  4  4  0  0  0 | 5 *  *  * * * | 1 1 0 0
.. x.3o.3o.      4  0 |  6  0  0 |  0  4  0  0  0 | * 5  *  * * * | 1 0 1 0
oo3xx .. ..&#x   3  3 |  3  3  3 |  1  0  3  1  0 | * * 10  * * * | 0 2 0 0
.. xx3oo ..&#x   3  3 |  3  3  3 |  0  1  3  0  1 | * *  * 20 * * | 0 1 1 0
.o3.x3.o ..      0  6 |  0  0 12 |  0  0  0  4  4 | * *  *  * 5 * | 0 1 0 1
.. .x3.o3.o      0  4 |  0  0  6 |  0  0  0  0  4 | * *  *  * * 5 | 0 0 1 1
---------------+-------+----------+----------------+---------------+--------
o.3x.3o.3o.     10  0 | 30  0  0 | 10 20  0  0  0 | 5 5  0  0 0 0 | 1 * * *
oo3xx3oo ..&#x   6  6 | 12  6 12 |  4  4 12  4  4 | 1 0  4  4 1 0 | * 5 * *
.. xx3oo3oo&#x   4  4 |  6  4  6 |  0  4  6  0  4 | 0 1  0  4 0 1 | * * 5 *
.o3.x3.o3.o      0 10 |  0  0 30 |  0  0  0 10 20 | 0 0  0  0 5 5 | * * * 1
or
o.3o.3o.3o.     & | 20 |  6  1 |  3  6  6 |  3  2  3  6 | 1 3 2
------------------+----+-------+----------+-------------+------
.. x. .. ..     & |  2 | 60  * |  1  2  1 |  2  1  1  2 | 1 2 1
oo3oo3oo3oo&#x    |  2 |  * 10   0  0  6 |  0  0  3  6 | 0 3 2
------------------+----+-------+----------+-------------+------
o.3x. .. ..     & |  3 |  3  0 | 20  *  * |  2  0  1  0 | 1 2 0
.. x.3o. ..     & |  3 |  3  0 |  * 40  * |  1  1  0  1 | 1 1 1
.. xx .. ..&#x    |  4 |  2  2 |  *  * 30 |  0  0  1  2 | 0 2 1
------------------+----+-------+----------+-------------+------
o.3x.3o. ..     &   6 | 12  0 |  4  4  0 | 10  *  *  * | 1 1 0
.. x.3o.3o.     &   4 |  6  0 |  0  4  0 |  * 10  *  * | 1 0 1
oo3xx .. ..&#x      6 |  6  3 |  2  0  3 |  *  * 10  * | 0 2 0
.. xx3oo ..&#x      6 |  6  3 |  0  2  3 |  *  *  * 20 | 0 1 1
------------------+----+-------+----------+-------------+------
o.3x.3o.3o.     &  10 | 30  0 | 10 20  0 |  5  5  0  0 | 2 * *
oo3xx3oo ..&#x     12 | 24  6 |  8  8 12 |  2  0  4  4 | * 5 *
.. xx3oo3oo&#x      8 | 12  4 |  0  8  6 |  0  2  0  4 | * * 5

xx xo3ox3oo&#x   → height = sqrt(3/8) = 0.612372
(tepe || ope)

o. o.3o.3o.    | 8  * | 1  3  3 0  0 | 3 3  3  3  3  0 0 0 | 3 1 3  3 3 1 0 0 0 | 1 3 1 1 0
.o .o3.o3.o    | * 12 | 0  0  2 1  4 | 0 0  2  1  4  4 2 2 | 0 0 1  4 2 2 2 2 1 | 0 2 2 1 1
---------------+------+--------------+---------------------+--------------------+----------
x. .. .. ..    | 2  0 | 4  *  * *  *  3 0  3  0  0  0 0 0 | 3 0 3  3 0 0 0 0 0 | 1 3 1 0 0
.. x. .. ..    | 2  0 | * 12  * *  * | 1 2  0  1  0  0 0 0 | 2 1 1  0 2 0 0 0 0 | 1 2 0 1 0
oo oo3oo3oo&#x | 1  1 | *  * 24 *  * | 0 0  1  1  2  0 0 0 | 0 0 1  2 2 1 0 0 0 | 0 2 1 1 0
.x .. .. ..    | 0  2 | *  *  * 6  *  0 0  2  0  0  4 0 0 | 0 0 1  4 0 0 2 2 0 | 0 2 2 0 1
.. .. .x ..    | 0  2 | *  *  * * 24 | 0 0  0  0  1  1 1 1 | 0 0 0  1 1 1 1 1 1 | 0 1 1 1 1
---------------+------+--------------+---------------------+--------------------+----------
x. x. .. ..    | 4  0 | 2  2  0 0  0 | 6 *  *  *  *  * * * | 2 0 1  0 0 0 0 0 0 | 1 2 0 0 0
.. x.3o. ..    | 3  0 | 0  3  0 0  0 | * 8  *  *  *  * * * | 1 1 0  0 1 0 0 0 0 | 1 1 0 1 0
xx .. .. ..&#x | 2  2 | 1  0  2 1  0 | * * 12  *  *  * * * | 0 0 1  2 0 0 0 0 0 | 0 2 1 0 0
.. xo .. ..&#x | 2  1 | 0  1  2 0  0 | * *  * 12  *  * * * | 0 0 1  0 2 0 0 0 0 | 0 2 0 1 0
.. .. ox ..&#x | 1  2 | 0  0  2 0  1 | * *  *  * 24  * * * | 0 0 0  1 1 1 0 0 0 | 0 1 1 1 0
.x .. .x ..    | 0  4 | 0  0  0 2  2 | * *  *  *  * 12 * * | 0 0 0  1 0 0 1 1 0 | 0 1 1 0 1
.. .o3.x ..    | 0  3 | 0  0  0 0  3 | * *  *  *  *  * 8 * | 0 0 0  0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x3.o    | 0  3 | 0  0  0 0  3 | * *  *  *  *  * * 8 | 0 0 0  0 0 1 0 1 1 | 0 0 1 1 1
---------------+------+--------------+---------------------+--------------------+----------
x. x.3o. ..     6  0 | 3  6  0 0  0 | 3 2  0  0  0  0 0 0 | 4 * *  * * * * * * | 1 1 0 0 0
.. x.3o.3o.     4  0 | 0  6  0 0  0 | 0 4  0  0  0  0 0 0 | * 2 *  * * * * * * | 1 0 0 1 0
xx xo .. ..&#x  4  2 | 2  2  4 1  0 | 1 0  2  2  0  0 0 0 | * * 6  * * * * * * | 0 2 0 0 0
xx .. ox ..&#x  2  4 | 1  0  4 2  2 | 0 0  2  0  2  1 0 0 | * * * 12 * * * * * | 0 1 1 0 0
.. xo3ox ..&#x  3  3 | 0  3  6 0  3 | 0 1  0  3  3  0 1 0 | * * *  * 8 * * * * | 0 1 0 1 0
.. .. ox3oo&#x  1  3 | 0  0  3 0  3 | 0 0  0  0  3  0 0 1 | * * *  * * 8 * * * | 0 0 1 1 0
.x .o3.x ..     0  6 | 0  0  0 3  6 | 0 0  0  0  0  3 2 0 | * * *  * * * 4 * * | 0 1 0 0 1
.x .. .x3.o     0  6 | 0  0  0 3  6 | 0 0  0  0  0  3 0 2 | * * *  * * * * 4 * | 0 0 1 0 1
.. .o3.x3.o     0  6 | 0  0  0 0 12 | 0 0  0  0  0  0 4 4 | * * *  * * * * * 2 | 0 0 0 1 1
---------------+------+--------------+---------------------+--------------------+----------
x. x.3o.3o.     8  0 | 4 12  0 0  0 | 6 8  0  0  0  0 0 0 | 4 2 0  0 0 0 0 0 0 | 1 * * * *
xx xo3ox ..&#x  6  6 | 3  6 12 3  6 | 3 2  6  6  6  3 2 0 | 1 0 3  3 2 0 1 0 0 | * 4 * * *
xx .. ox3oo&#x  2  6 | 1  0  6 3  6 | 0 0  3  0  6  3 0 2 | 0 0 0  3 0 2 0 1 0 | * * 4 * *
.. xo3ox3oo&#x  4  6 | 0  6 12 0 12 | 0 4  0  6 12  0 4 4 | 0 1 0  0 4 4 0 0 1 | * * * 2 *
.x .o3.x3.o     0 12 | 0  0  0 6 24 | 0 0  0  0  0 12 8 8 | 0 0 0  0 0 0 4 4 2 | * * * * 1

xxx oxo oxo3oox&#xt   → both heights = sqrt(5/12) = 0.645497
(line || pseudo tisdip || inv trip)

o.. o.. o..3o..     | 2  * * | 1  6 0 0  0  0 0 0 | 6 3  6 0 0 0  0  0  0  0 0 0 | 3 6 3 2 0 0 0 0 0 0 0 | 3 2 1 0 0
.o. .o. .o.3.o.     | * 12 * | 0  1 1 1  2  2 0 0 | 1 1  2 1 2 1  2  2  2  1 0 0 | 1 2 2 1 1 2 2 1 1 1 0 | 2 1 1 1 1
..o ..o ..o3..o     | *  * 6 | 0  0 0 0  0  4 1 2 | 0 0  0 0 0 0  4  2  2  4 2 1 | 0 0 1 0 0 2 2 4 2 2 1 | 1 0 1 2 2
--------------------+--------+--------------------+------------------------------+-----------------------+----------
x.. ... ... ...     | 2  0 0 | 1  * * *  *  * * *  6 0  0 0 0 0  0  0  0  0 0 0 | 3 6 0 0 0 0 0 0 0 0 0 | 3 2 0 0 0
oo. oo. oo.3oo.&#x  | 1  1 0 | * 12 * *  *  * * * | 1 1  2 0 0 0  0  0  0  0 0 0 | 1 2 2 1 0 0 0 0 0 0 0 | 2 1 1 0 0
.x. ... ... ...     | 0  2 0 | *  * 6 *  *  * * *  1 0  0 1 2 0  2  0  0  0 0 0 | 1 2 0 0 1 2 2 1 0 0 0 | 2 1 0 1 1
... .x. ... ...     | 0  2 0 | *  * * 6  *  * * * | 0 1  0 1 0 0  0  2  0  0 0 0 | 1 0 2 0 0 2 0 0 1 0 0 | 2 0 1 1 0
... ... .x. ...     | 0  2 0 | *  * * * 12  * * * | 0 0  1 0 1 1  0  0  1  0 0 0 | 0 1 1 1 1 0 1 0 0 1 0 | 1 1 1 0 1
.oo .oo .oo3.oo&#x  | 0  1 1 | *  * * *  * 24 * * | 0 0  0 0 0 0  1  1  1  1 0 0 | 0 0 1 0 0 1 1 1 1 1 0 | 1 0 1 1 1
..x ... ... ...     | 0  0 2 | *  * * *  *  * 3 *  0 0  0 0 0 0  4  0  0  0 2 0 | 0 0 0 0 0 2 2 4 0 0 1 | 1 0 0 2 2
... ... ... ..x     | 0  0 2 | *  * * *  *  * * 6 | 0 0  0 0 0 0  0  0  0  2 1 1 | 0 0 0 0 0 0 0 2 1 2 1 | 0 0 1 1 2
--------------------+--------+--------------------+------------------------------+-----------------------+----------
xx. ... ... ...&#x  | 2  2 0 | 1  2 1 0  0  0 0 0 | 6 *  * * * *  *  *  *  * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0
... ox. ... ...&#x  | 1  2 0 | 0  2 0 1  0  0 0 0 | * 6  * * * *  *  *  *  * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0
... ... ox. ...&#x  | 1  2 0 | 0  2 0 0  1  0 0 0 | * * 12 * * *  *  *  *  * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.x. .x. ... ...     | 0  4 0 | 0  0 2 2  0  0 0 0 | * *  * 3 * *  *  *  *  * * * | 1 0 0 0 0 2 0 0 0 0 0 | 2 0 0 1 0
.x. ... .x. ...     | 0  4 0 | 0  0 2 0  2  0 0 0 | * *  * * 6 *  *  *  *  * * * | 0 1 0 0 1 0 1 0 0 0 0 | 1 1 0 0 1
... ... .x.3.o.     | 0  3 0 | 0  0 0 0  3  0 0 0 | * *  * * * 4  *  *  *  * * * | 0 0 0 1 1 0 0 0 0 1 0 | 0 1 1 0 1
.xx ... ... ...&#x  | 0  2 2 | 0  0 1 0  0  2 1 0 | * *  * * * * 12  *  *  * * * | 0 0 0 0 0 1 1 1 0 0 0 | 1 0 0 1 1
... .xo ... ...&#x  | 0  2 1 | 0  0 0 1  0  2 0 0 | * *  * * * *  * 12  *  * * * | 0 0 1 0 0 1 0 0 1 0 0 | 1 0 1 1 0
... ... .xo ...&#x  | 0  2 1 | 0  0 0 0  1  2 0 0 | * *  * * * *  *  * 12  * * * | 0 0 1 0 0 0 1 0 0 1 0 | 1 0 1 0 1
... ... ... .ox&#x  | 0  1 2 | 0  0 0 0  0  2 0 1 | * *  * * * *  *  *  * 12 * * | 0 0 0 0 0 0 0 1 1 1 0 | 0 0 1 1 1
..x ... ... ..x     | 0  0 4 | 0  0 0 0  0  0 2 2 | * *  * * * *  *  *  *  * 3 * | 0 0 0 0 0 0 0 2 0 0 1 | 0 0 0 1 2
... ... ..o3..x     | 0  0 3 | 0  0 0 0  0  0 0 3 | * *  * * * *  *  *  *  * * 2 | 0 0 0 0 0 0 0 0 0 2 1 | 0 0 1 0 2
--------------------+--------+--------------------+------------------------------+-----------------------+----------
xx. ox. ... ...&#x   2  4 0 | 1  4 2 2  0  0 0 0 | 2 2  0 1 0 0  0  0  0  0 0 0 | 3 * * * * * * * * * * | 2 0 0 0 0
xx. ... ox. ...&#x   2  4 0 | 1  4 2 0  2  0 0 0 | 2 0  2 0 1 0  0  0  0  0 0 0 | * 6 * * * * * * * * * | 1 1 0 0 0
... oxo oxo ...&#xt  1  4 1 | 0  4 0 2  2  4 0 0 | 0 2  2 0 0 0  0  2  2  0 0 0 | * * 6 * * * * * * * * | 1 0 1 0 0
... ... ox.3oo.&#x   1  3 0 | 0  3 0 0  3  0 0 0 | 0 0  3 0 0 1  0  0  0  0 0 0 | * * * 4 * * * * * * * | 0 1 1 0 0
.x. ... .x.3.o.      0  6 0 | 0  0 3 0  6  0 0 0 | 0 0  0 0 3 2  0  0  0  0 0 0 | * * * * 2 * * * * * * | 0 1 0 0 1
.xx .xo ... ...&#x   0  4 2 | 0  0 2 2  0  4 1 0 | 0 0  0 1 0 0  2  2  0  0 0 0 | * * * * * 6 * * * * * | 1 0 0 1 0
.xx ... .xo ...&#x   0  4 2 | 0  0 2 0  2  4 1 0 | 0 0  0 0 1 0  2  0  2  0 0 0 | * * * * * * 6 * * * * | 1 0 0 0 1
.xx ... ... .ox&#x   0  2 4 | 0  0 1 0  0  4 2 2 | 0 0  0 0 0 0  2  0  0  2 1 0 | * * * * * * * 6 * * * | 0 0 0 1 1
... .xo ... .ox&#x   0  2 2 | 0  0 0 1  0  4 0 1 | 0 0  0 0 0 0  0  2  0  2 0 0 | * * * * * * * * 6 * * | 0 0 1 1 0
... ... .xo3.ox&#x   0  3 3 | 0  0 0 0  3  6 0 3 | 0 0  0 0 0 1  0  0  3  3 0 1 | * * * * * * * * * 4 * | 0 0 1 0 1
..x ... ..o3..x      0  0 6 | 0  0 0 0  0  0 3 6 | 0 0  0 0 0 0  0  0  0  0 3 2 | * * * * * * * * * * 1 | 0 0 0 0 2
--------------------+--------+--------------------+------------------------------+-----------------------+----------
xxx oxo oxo ...&#xt  2  8 2 | 1  8 4 4  4  8 1 0 | 4 4  4 2 2 0  4  4  4  0 0 0 | 2 2 2 0 0 2 2 0 0 0 0 | 3 * * * *
xx. ... ox.3oo.&#x   2  6 0 | 1  6 3 0  6  0 0 0 | 3 0  6 0 3 2  0  0  0  0 0 0 | 0 3 0 2 1 0 0 0 0 0 0 | * 2 * * *
... oxo oxo3oox&#xt  1  6 3 | 0  6 0 3  6 12 0 3 | 0 3  6 0 0 2  0  6  6  6 0 1 | 0 0 3 2 0 0 0 0 3 2 0 | * * 2 * *
.xx .xo ... .ox&#x   0  4 4 | 0  0 2 2  0  8 2 2 | 0 0  0 1 0 0  4  4  0  4 1 0 | 0 0 0 0 0 2 0 2 2 0 0 | * * * 3 *
.xx ... .xo3.ox&#x   0  6 6 | 0  0 3 0  6 12 3 6 | 0 0  0 0 3 2  6  0  6  6 3 2 | 0 0 0 0 1 0 3 3 0 2 1 | * * * * 2

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