Acronym ...
Name f v10o,
variation of decagonal prism,
hull of 10/3-prism
Circumradius sqrt[(11+sqrt(5))/8] = 1.286277
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
general prisms:
n-p  
uniform variant:
dip  

Incidence matrix according to Dynkin symbol

f v10o

. .  . | 20 |  1  2 |  2 1
-------+----+-------+-----
f .  . |  2 | 10  * |  2 0
. v  . |  2 |  * 20 |  1 1
-------+----+-------+-----
f v  . |  4 |  2  2 | 10 *
. v10o | 10 |  0 10 |  * 2

f v5v

. . . | 20 |  1  1  1 | 1 1 1
------+----+----------+------
f . . |  2 | 10  *  * | 1 1 0
. v . |  2 |  * 10  * | 1 0 1
. . v |  2 |  *  * 10 | 0 1 1
------+----+----------+------
f v . |  4 |  2  2  0 | 5 * *
f . v |  4 |  2  0  2 | * 5 *
. v5v | 10 |  0  5  5 | * * 2

vv10oo&#f   → height = (1+sqrt(5))/2 = 1.618034
({10} || {10})

o.10o.    | 10  * |  2  1  0 | 1  2 0
.o10.o    |  * 10 |  0  1  2 | 0  2 1
----------+-------+----------+-------
v.  ..    |  2  0 | 10  *  * | 1  1 0
oo10oo&#f |  1  1 |  * 10  * | 0  2 0
.v  ..    |  0  2 |  *  * 10 | 0  1 1
----------+-------+----------+-------
v.10o.    | 10  0 | 10  0  0 | 1  * *
vv  ..&#f |  2  2 |  1  2  1 | * 10 *
.v10.o    |  0 10 |  0  0 10 | *  * 1

vv5vv&#f   → height = (1+sqrt(5))/2 = 1.618034
({10} || {10})

o.5o.    | 10  * | 1 1  1 0 0 | 1 1 1 0
.o5.o    |  * 10 | 0 0  1 1 1 | 0 1 1 1
---------+-------+------------+--------
v. ..    |  2  0 | 5 *  * * * | 1 1 0 0
.. v.    |  2  0 | * 5  * * * | 1 0 1 0
oo5oo&#f |  1  1 | * * 10 * * | 0 1 1 0
.v ..    |  0  2 | * *  * 5 * | 0 1 0 1
.. .v    |  0  2 | * *  * * 5 | 0 0 1 1
---------+-------+------------+--------
v.5v.    | 10  0 | 5 5  0 0 0 | 1 * * *
vv ..&#f |  2  2 | 1 0  2 1 0 | * 5 * *
.. vv&#f |  2  2 | 0 1  2 0 1 | * * 5 *
.v5.v    |  0 10 | 0 0  0 5 5 | * * * 1

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