Acronym owaudope
Name omni-augmented dodecahedral-prism
 
 ©
Dihedral angles
  • at {3} between squippy and squippy:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between peppy and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {4} between squippy and squippy:   arccos(-4/5) = 143.130102°
  • at {5} between doe and peppy:   108°
Confer
blend-components:
dope   pippy  
general polytopal classes:
bistratic lace towers  

This polychoron is derived by augmenting all lateral pips of dope with pippies.


Incidence matrix according to Dynkin symbol

oAo3ooo5xox&#xt   → both heights = 1/2, where A = 3/sqrt(5) = 1.341641

o..3o..5o..    | 20  *  * |  3  3  1  0  0 |  3  6  3  3  0  0 | 1  3  6  0 0
.o.3.o.5.o.    |  * 12  *   0  5  0  5  0 |  0  5  0  5  5  0 | 0  1  5  1 0
..o3..o5..o    |  *  * 20 |  0  0  1  3  3 |  0  0  3  3  6  3 | 0  0  6  3 1
---------------+----------+----------------+-------------------+-------------
... ... x..    |  2  0  0 | 30  *  *  *  * |  2  2  1  0  0  0 | 1  2  2  0 0
oo.3oo.5oo.&#x |  1  1  0 |  * 60  *  *  * |  0  2  0  1  0  0 | 0  1  2  0 0
o.o3o.o5o.o&#x |  1  0  1 |  *  * 20  *  * |  0  0  3  3  0  0 | 0  0  6  0 0
.oo3.oo5.oo&#x |  0  1  1 |  *  *  * 60  * |  0  0  0  1  2  0 | 0  0  2  1 0
... ... ..x    |  0  0  2 |  *  *  *  * 30 |  0  0  1  0  2  2 | 0  0  2  2 1
---------------+----------+----------------+-------------------+-------------
... o..5x..    |  5  0  0 |  5  0  0  0  0 | 12  *  *  *  *  * | 1  1  0  0 0
... ... xo.&#x |  2  1  0 |  1  2  0  0  0 |  * 60  *  *  *  * | 0  1  1  0 0
... ... x.x&#x |  2  0  2 |  1  0  2  0  1 |  *  * 30  *  *  * | 0  0  2  0 0
ooo3ooo5ooo&#x |  1  1  1 |  0  1  1  1  0 |  *  *  * 60  *  * | 0  0  2  0 0
... ... .ox&#x |  0  1  2 |  0  0  0  2  1 |  *  *  *  * 60  * | 0  0  1  1 0
... ..o5..x    |  0  0  5 |  0  0  0  0  5 |  *  *  *  *  * 12 | 0  0  0  1 1
---------------+----------+----------------+-------------------+-------------
o..3o..5x..     20  0  0 | 30  0  0  0  0 | 12  0  0  0  0  0 | 1  *  *  * *
... oo.5xo.&#x   5  1  0 |  5  5  0  0  0 |  1  5  0  0  0  0 | * 12  *  * *
... ... xox&#x   2  1  2 |  1  2  2  2  1 |  0  1  1  2  1  0 | *  * 60  * *
... .oo5.ox&#x   0  1  5 |  0  0  0  5  5 |  0  0  0  0  5  1 | *  *  * 12 *
..o3..o5..x      0  0 20 |  0  0  0  0 30 |  0  0  0  0  0 12 | *  *  *  * 1
or
o..3o..5o..    & | 40  * |  3   3  1 |  3   6  3  3 | 1  3  6
.o.3.o.5.o.      |  * 12   0  10  0 |  0  10  0  5 | 0  2  5
-----------------+-------+-----------+--------------+--------
... ... x..    & |  2  0 | 60   *  * |  2   2  1  0 | 1  2  2
oo.3oo.5oo.&#x & |  1  1 |  * 120  * |  0   2  0  1 | 0  1  2
o.o3o.o5o.o&#x   |  2  0 |  *   * 20 |  0   0  3  3 | 0  0  6
-----------------+-------+-----------+--------------+--------
... o..5x..    & |  5  0 |  5   0  0 | 24   *  *  * | 1  1  0
... ... xo.&#x & |  2  1 |  1   2  0 |  * 120  *  * | 0  1  1
... ... x.x&#x   |  4  0 |  2   0  2 |  *   * 30  * | 0  0  2
ooo3ooo5ooo&#x   |  2  1 |  0   2  1 |  *   *  * 60 | 0  0  2
-----------------+-------+-----------+--------------+--------
o..3o..5x..    &  20  0 | 30   0  0 | 12   0  0  0 | 2  *  *
... oo.5xo.&#x &   5  1 |  5   5  0 |  1   5  0  0 | * 24  *
... ... xox&#x     4  1 |  2   4  2 |  0   2  1  2 | *  * 60

oA3oo5xo xo&#zx   → height = 0, where A = 3/sqrt(5) = 1.341641
(tegum sum of dope and A-ike)

o.3o.5o. o.    | 40  * |  3  1   3 |  3  3   6  3 | 1  3  6
.o3.o5.o .o    |  * 12   0  0  10 |  0  0  10  5 | 0  2  5
---------------+-------+-----------+--------------+--------
.. .. x. ..    |  2  0 | 60  *   * |  2  1   2  0 | 1  2  2
.. .. .. x.    |  2  0 |  * 20   * |  0  3   0  3 | 0  0  6
oo3oo5oo oo&#x |  1  1 |  *  * 120 |  0  0   2  1 | 0  1  2
---------------+-------+-----------+--------------+--------
.. o.5x. ..    |  5  0 |  5  0   0 | 24  *   *  * | 1  1  0
.. .. x. x.    |  4  0 |  2  2   0 |  * 30   *  * | 0  0  2
.. .. xo ..&#x |  2  1 |  1  0   2 |  *  * 120  * | 0  1  1
.. .. .. xo&#x |  2  1 |  0  1   2 |  *  *   * 60 | 0  0  2
---------------+-------+-----------+--------------+--------
o.3o.5x. ..     20  0 | 30  0   0 | 12  0   0  0 | 2  *  *
.. oo5xo ..&#x   5  1 |  5  0   5 |  1  0   5  0 | * 24  *
.. .. xo xo&#x   4  1 |  2  2   4 |  0  1   2  2 | *  * 60

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