Acronym	trapedip, K-4.34
Name	triangle - pentagon duoprism, pentagon - pip wedge
	©
Circumradius	sqrt[(25+3 sqrt(5))/30] = 1.028076
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Confer	general duoprisms: n,m-dip   3,n-dip   5,n-dip
External links

Incidence matrix according to Dynkin symbol

x3o x5o

. . . . | 15 |  2  2 | 1  4 1 | 2 2
--------+----+-------+--------+----
x . . . |  2 | 15  * | 1  2 0 | 2 1
. . x . |  2 |  * 15 | 0  2 1 | 1 2
--------+----+-------+--------+----
x3o . . |  3 |  3  0 | 5  * * | 2 0
x . x . |  4 |  2  2 | * 15 * | 1 1
. . x5o |  5 |  0  5 | *  * 3 | 0 2
--------+----+-------+--------+----
x3o x . ♦  6 |  6  3 | 2  3 0 | 5 *
x . x5o ♦ 10 |  5 10 | 0  5 2 | * 3

x3o x5/4o

. . .   . | 15 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x . .   . |  2 | 15  * | 1  2 0 | 2 1
. . x   . |  2 |  * 15 | 0  2 1 | 1 2
----------+----+-------+--------+----
x3o .   . |  3 |  3  0 | 5  * * | 2 0
x . x   . |  4 |  2  2 | * 15 * | 1 1
. . x5/4o |  5 |  0  5 | *  * 3 | 0 2
----------+----+-------+--------+----
x3o x   . ♦  6 |  6  3 | 2  3 0 | 5 *
x . x5/4o ♦ 10 |  5 10 | 0  5 2 | * 3

x3/2o x5o

.   . . . | 15 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x   . . . |  2 | 15  * | 1  2 0 | 2 1
.   . x . |  2 |  * 15 | 0  2 1 | 1 2
----------+----+-------+--------+----
x3/2o . . |  3 |  3  0 | 5  * * | 2 0
x   . x . |  4 |  2  2 | * 15 * | 1 1
.   . x5o |  5 |  0  5 | *  * 3 | 0 2
----------+----+-------+--------+----
x3/2o x . ♦  6 |  6  3 | 2  3 0 | 5 *
x   . x5o ♦ 10 |  5 10 | 0  5 2 | * 3

x3/2o x5/4o

.   . .   . | 15 |  2  2 | 1  4 1 | 2 2
------------+----+-------+--------+----
x   . .   . |  2 | 15  * | 1  2 0 | 2 1
.   . x   . |  2 |  * 15 | 0  2 1 | 1 2
------------+----+-------+--------+----
x3/2o .   . |  3 |  3  0 | 5  * * | 2 0
x   . x   . |  4 |  2  2 | * 15 * | 1 1
.   . x5/4o |  5 |  0  5 | *  * 3 | 0 2
------------+----+-------+--------+----
x3/2o x   . ♦  6 |  6  3 | 2  3 0 | 5 *
x   . x5/4o ♦ 10 |  5 10 | 0  5 2 | * 3

ox xx5oo&#x    → height = sqrt(3)/2 = 0.866025
({5} || pip)

o. o.5o.    | 5  * | 2  2 0  0 | 1 1  4 0 0 | 2 2 0
.o .o5.o    | * 10 | 0  1 1  2 | 0 1  2 2 1 | 2 1 1
------------+------+-----------+------------+------
.. x. ..    | 2  0 | 5  * *  * | 1 0  2 0 0 | 1 2 0
oo oo5oo&#x | 1  1 | * 10 *  * | 0 1  2 0 0 | 2 1 0
.x .. ..    | 0  2 | *  * 5  * | 0 1  0 2 0 | 2 0 1
.. .x ..    | 0  2 | *  * * 10 | 0 0  1 1 1 | 1 1 1
------------+------+-----------+------------+------
.. x.5o.    | 5  0 | 5  0 0  0 | 1 *  * * * | 0 2 0
ox .. ..&#x | 1  2 | 0  2 1  0 | * 5  * * * | 2 0 0
.. xx ..&#x | 2  2 | 1  2 0  1 | * * 10 * * | 1 1 0
.x .x ..    | 0  4 | 0  0 2  2 | * *  * 5 * | 1 0 1
.. .x5.o    | 0  5 | 0  0 0  5 | * *  * * 2 | 0 1 1
------------+------+-----------+------------+------
ox xx ..&#x ♦ 2  4 | 1  4 2  2 | 0 2  2 1 0 | 5 * *
.. xx5oo&#x ♦ 5  5 | 5  5 0  5 | 1 0  5 0 1 | * 2 *
.x .x5.o    ♦ 0 10 | 0  0 5 10 | 0 0  0 5 2 | * * 1