Acronym 8,n-dip
Name octagon - n-gonal duoprism
Circumradius sqrt[(2+sqrt(2))/2+1/(4 sin2(π/n))]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Especially todip (n=3)   sodip (n=4)   podip (n=5)   hodip (n=6)   odip (n=8)   odedip (n=10)   otwadip (n=12)  
Confer
general duoprisms:
n,m-dip   2n,m-dip   2n,2m-dip  
External
links
hedrondude   wikipedia

Incidence matrix according to Dynkin symbol

x8o xno   (n>2)

. . . . | 8n |  2  2 | 1  4 1 | 2 2
--------+----+-------+--------+----
x . . . |  2 | 8n  * | 1  2 0 | 2 1
. . x . |  2 |  * 8n | 0  2 1 | 1 2
--------+----+-------+--------+----
x8o . . |  8 |  8  0 | n  * * | 2 0
x . x . |  4 |  2  2 | * 8n * | 1 1
. . xno |  n |  0  n | *  * 8 | 0 2
--------+----+-------+--------+----
x8o x .  16 | 16  8 | 2  8 0 | n *
x . xno  2n |  n 2n | 0  n 2 | * 8

x4x xno   (n>2)

. . . . | 8n |  1  1  2 | 1  2  2 1 | 2 1 1
--------+----+----------+-----------+------
x . . . |  2 | 4n  *  * | 1  2  0 0 | 2 1 0
. x . . |  2 |  * 4n  * | 1  0  2 0 | 2 0 1
. . x . |  2 |  *  * 8n | 0  1  1 1 | 1 1 1
--------+----+----------+-----------+------
x4x . . |  8 |  4  4  0 | n  *  * * | 2 0 0
x . x . |  4 |  2  0  2 | * 4n  * * | 1 1 0
. x x . |  4 |  0  2  2 | *  * 4n * | 1 0 1
. . xno |  n |  0  0  n | *  *  * 8 | 0 1 1
--------+----+----------+-----------+------
x4x x .  16 |  8  8  8 | 2  4  4 0 | n * *
x . xno  2n |  n  0 2n | 0  n  0 2 | * 4 *
. x xno  2n |  0  n 2n | 0  0  n 2 | * * 4

x4x sns   (n>2)

. . demi( . . ) | 8n |  1  1  2 | 1  2  2 1 | 2 1 1
----------------+----+----------+-----------+------
x . demi( . . ) |  2 | 4n  *  * | 1  2  0 0 | 2 1 0
. x demi( . . ) |  2 |  * 4n  * | 1  0  2 0 | 2 0 1
. . sefa( sns ) |  2 |  *  * 8n | 0  1  1 1 | 1 1 1
----------------+----+----------+-----------+------
x4x demi( . . ) |  8 |  4  4  0 | n  *  * * | 2 0 0
x . sefa( sns ) |  4 |  2  0  2 | * 4n  * * | 1 1 0
. x sefa( sns ) |  4 |  0  2  2 | *  * 4n * | 1 0 1
. .       sns     n |  0  0  n | *  *  * 8 | 0 1 1
----------------+----+----------+-----------+------
x4x sefa( sns )  16 |  8  8  8 | 2  4  4 0 | n * *
x .       sns    2n |  n  0 2n | 0  n  0 2 | * 4 *
. x       sns    2n |  0  n 2n | 0  0  n 2 | * * 4

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