| 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
|
| Volume | 11 sqrt(5)/96 = 0.256216 |
| Face vector | 20, 70, 90, 50, 12 |
| Confer |
|
|
External links |
|
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(5/8) = 0.790569
(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
© 2004-2024 | top of page |