Acronym hidip
Name hecatonicosachoron duoprism
Circumradius 3+sqrt(5) = 5.236068
Volume (2482875+1110375 sqrt(5))/6 = 620718.622565
Face vector 360000, 1440000, 2304000, 1872000, 807600, 175200, 15840, 240
Confer
general polytopal classes:
Wythoffian polyzetta   noble polytopes  

Incidence matrix according to Dynkin symbol

o3o3o5x o3o3o5x

. . . . . . . .    | 360000 |       8 |     12      16 |      8      48 |    2     32     36 |    8     48 |   12    16 |   8
-------------------+--------+---------+----------------+----------------+--------------------+-------------+------------+----
. . . x . . . .  & |      2 | 1440000 |      3       4 |      3      18 |    1     16     18 |    5     30 |    9    12 |   7
-------------------+--------+---------+----------------+----------------+--------------------+-------------+------------+----
. . o5x . . . .  & |      5 |       5 | 864000       * |      2       4 |    1      8      6 |    4     16 |    7     8 |   6
. . . x . . . x    |      4 |       4 |      * 1440000 |      0       6 |    0      6      9 |    2     18 |    6     9 |   6
-------------------+--------+---------+----------------+----------------+--------------------+-------------+------------+----
. o3o5x . . . .  &      20 |      30 |     12       0 | 144000       * |    1      4      0 |    4      6 |    6     4 |   5
. . o5x . . . x  &      10 |      15 |      2       5 |      * 1728000 |    0      2      3 |    1      9 |    4     6 |   5
-------------------+--------+---------+----------------+----------------+--------------------+-------------+------------+----
o3o3o5x . . . .  &     600 |    1200 |    720       0 |    120       0 | 1200      *      *     4      0 |    6     0 |   4
. o3o5x . . . x  &      40 |      80 |     24      30 |      2      12 |    * 288000      * |    1      3 |    3     3 |   4
. . o5x . . o5x         25 |      50 |     10      25 |      0      10 |    *      * 518400 |    0      4 |    2     4 |   4
-------------------+--------+---------+----------------+----------------+--------------------+-------------+------------+----
o3o3o5x . . . x  &    1200 |    3000 |   1440    1200 |    240     720 |    2    120      0 | 2400      * |    3     0 |   3
. o3o5x . . o5x  &     100 |     250 |     80     150 |      5      90 |    0      5     12 |    * 172800 |    1     2 |   3
-------------------+--------+---------+----------------+----------------+--------------------+-------------+------------+----
o3o3o5x . . o5x  &    3000 |    9000 |   4200    6000 |    600    4800 |    5    600    720 |    5    120 | 1440     * |   2
. o3o5x . o3o5x        400 |    1200 |    480     900 |     40     720 |    0     60    144 |    0     24 |    * 14400 |   2
-------------------+--------+---------+----------------+----------------+--------------------+-------------+------------+----
o3o3o5x . o3o5x  &   12000 |   42000 |  21600   36000 |   3000   36000 |   20   4800   8640 |   30   2160 |   12   120 | 240

© 2004-2025
top of page