Acronym odedip
Name octagon-decagon duoprism
Circumradius sqrt[(5+sqrt(2)+sqrt(5))/2] = 2.079697
Volume 5[1+sqrt(2)] sqrt[5+2 sqrt(5)] = 37.150927
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {8} between op and op:   144°
  • at {10} between dip and dip:   135°
  • at {4} between dip and op:   90°
Face vector 80, 160, 98, 18
Confer
general duoprisms:
n,m-dip   2n,m-dip   2n,2m-dip   8,n-dip   10,n-dip  
External
links
hedrondude   wikipedia   polytopewiki

Incidence matrix according to Dynkin symbol

x8o x10o  

. . .  . | 80 |  2  2 |  1  4 1 |  2 2
---------+----+-------+---------+-----
x . .  . |  2 | 80  * |  1  2 0 |  2 1
. . x  . |  2 |  * 80 |  0  2 1 |  1 2
---------+----+-------+---------+-----
x8o .  . |  8 |  8  0 | 10  * * |  2 0
x . x  . |  4 |  2  2 |  * 80 * |  1 1
. . x10o | 10 |  0 10 |  *  * 8 |  0 2
---------+----+-------+---------+-----
x8o x  .  16 | 16  8 |  2  8 0 | 10 *
x . x10o  20 | 10 20 |  0 10 2 |  * 8

x4x x10o

. . .  . | 80 |  1  1  2 |  1  2  2 1 |  2 1 1
---------+----+----------+------------+-------
x . .  . |  2 | 40  *  * |  1  2  0 0 |  2 1 0
. x .  . |  2 |  * 40  * |  1  0  2 0 |  2 0 1
. . x  . |  2 |  *  * 80 |  0  1  1 1 |  1 1 1
---------+----+----------+------------+-------
x4x .  . |  8 |  4  4  0 | 10  *  * * |  2 0 0
x . x  . |  4 |  2  0  2 |  * 40  * * |  1 1 0
. x x  . |  4 |  0  2  2 |  *  * 40 * |  1 0 1
. . x10o | 10 |  0  0 10 |  *  *  * 8 |  0 1 1
---------+----+----------+------------+-------
x4x x  .  16 |  8  8  8 |  2  4  4 0 | 10 * *
x . x10o  20 | 10  0 20 |  0 10  0 2 |  * 4 *
. x x10o  20 |  0 10 20 |  0  0 10 2 |  * * 4

x5x x8o

. . . . | 80 |  1  1  2 | 1  2  2  1 | 2 1 1
--------+----+----------+------------+------
x . . . |  2 | 40  *  * | 1  2  0  0 | 2 1 0
. x . . |  2 |  * 40  * | 1  0  2  0 | 2 0 1
. . x . |  2 |  *  * 80 | 0  1  1  1 | 1 1 1
--------+----+----------+------------+------
x5x . . | 10 |  5  5  0 | 8  *  *  * | 2 0 0
x . x . |  4 |  2  0  2 | * 40  *  * | 1 1 0
. x x . |  4 |  0  2  2 | *  * 40  * | 1 0 1
. . x8o |  8 |  0  0  8 | *  *  * 10 | 0 1 1
--------+----+----------+------------+------
x5x x .  20 | 10 10 10 | 2  5  5  0 | 8 * *
x . x8o  16 |  8  0 16 | 0  8  0  2 | * 5 *
. x x8o  16 |  0  8 16 | 0  0  8  2 | * * 5

x4x x5x

. . . . | 80 |  1  1  1  1 |  1  1  1  1  1 1 | 1 1 1 1
--------+----+-------------+------------------+--------
x . . . |  2 | 40  *  *  * |  1  1  1  0  0 0 | 1 1 1 0
. x . . |  2 |  * 40  *  * |  1  0  0  1  1 0 | 1 1 0 1
. . x . |  2 |  *  * 40  * |  0  1  0  1  0 1 | 1 0 1 1
. . . x |  2 |  *  *  * 40 |  0  0  1  0  1 1 | 0 1 1 1
--------+----+-------------+------------------+--------
x4x . . |  8 |  4  4  0  0 | 10  *  *  *  * * | 1 1 0 0
x . x . |  4 |  2  0  2  0 |  * 20  *  *  * * | 1 0 1 0
x . . x |  4 |  2  0  0  2 |  *  * 20  *  * * | 0 1 1 0
. x x . |  4 |  0  2  2  0 |  *  *  * 20  * * | 1 0 0 1
. x . x |  4 |  0  2  0  2 |  *  *  *  * 20 * | 0 1 0 1
. . x5x | 10 |  0  0  5  5 |  *  *  *  *  * 8 | 0 0 1 1
--------+----+-------------+------------------+--------
x4x x .  16 |  8  8  8  0 |  2  4  0  4  0 0 | 5 * * *
x4x . x  16 |  8  8  0  8 |  2  0  4  0  4 0 | * 5 * *
x . x5x  20 | 10  0 10 10 |  0  5  5  0  0 2 | * * 4 *
. x x5x  20 |  0 10 10 10 |  0  0  0  5  5 2 | * * * 4

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