Acronym squipdip, K-4.42 Name square-pentagon duoprism ` ©` Circumradius sqrt[(10+sqrt(5))/10] = 1.106168 General of army (is itself convex) Colonel of regiment (is itself locally convex) Confer general duoprisms: 4,n-dip   5,n-dip   n,m-dip   2n,m-dip Externallinks

Incidence matrix according to Dynkin symbol

```x4o x5o

. . . . | 20 |  2  2 | 1  4 1 | 2 2
--------+----+-------+--------+----
x . . . |  2 | 20  * | 1  2 0 | 2 1
. . x . |  2 |  * 20 | 0  2 1 | 1 2
--------+----+-------+--------+----
x4o . . |  4 |  4  0 | 5  * * | 2 0
x . x . |  4 |  2  2 | * 20 * | 1 1
. . x5o |  5 |  0  5 | *  * 4 | 0 2
--------+----+-------+--------+----
x4o x . ♦  8 |  8  4 | 2  4 0 | 5 *
x . x5o ♦ 10 |  5 10 | 0  5 2 | * 4
```

```x4o x5/4o

. . .   . | 20 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x . .   . |  2 | 20  * | 1  2 0 | 2 1
. . x   . |  2 |  * 20 | 0  2 1 | 1 2
----------+----+-------+--------+----
x4o .   . |  4 |  4  0 | 5  * * | 2 0
x . x   . |  4 |  2  2 | * 20 * | 1 1
. . x5/4o |  5 |  0  5 | *  * 4 | 0 2
----------+----+-------+--------+----
x4o x   . ♦  8 |  8  4 | 2  4 0 | 5 *
x . x5/4o ♦ 10 |  5 10 | 0  5 2 | * 4
```

```x4/3o x5o

.   . . . | 20 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x   . . . |  2 | 20  * | 1  2 0 | 2 1
.   . x . |  2 |  * 20 | 0  2 1 | 1 2
----------+----+-------+--------+----
x4/3o . . |  4 |  4  0 | 5  * * | 2 0
x   . x . |  4 |  2  2 | * 20 * | 1 1
.   . x5o |  5 |  0  5 | *  * 4 | 0 2
----------+----+-------+--------+----
x4/3o x . ♦  8 |  8  4 | 2  4 0 | 5 *
x   . x5o ♦ 10 |  5 10 | 0  5 2 | * 4
```

```x4/3o x5/4o

.   . .   . | 20 |  2  2 | 1  4 1 | 2 2
------------+----+-------+--------+----
x   . .   . |  2 | 20  * | 1  2 0 | 2 1
.   . x   . |  2 |  * 20 | 0  2 1 | 1 2
------------+----+-------+--------+----
x4/3o .   . |  4 |  4  0 | 5  * * | 2 0
x   . x   . |  4 |  2  2 | * 20 * | 1 1
.   . x5/4o |  5 |  0  5 | *  * 4 | 0 2
------------+----+-------+--------+----
x4/3o x   . ♦  8 |  8  4 | 2  4 0 | 5 *
x   . x5/4o ♦ 10 |  5 10 | 0  5 2 | * 4
```

```x x x5o

. . . . | 20 |  1  1  2 | 1  2  2 1 | 2 1 1
--------+----+----------+-----------+------
x . . . |  2 | 10  *  * | 1  2  0 0 | 2 1 0
. x . . |  2 |  * 10  * | 1  0  2 0 | 2 0 1
. . x . |  2 |  *  * 20 | 0  1  1 1 | 1 1 1
--------+----+----------+-----------+------
x x . . |  4 |  2  2  0 | 5  *  * * | 2 0 0
x . x . |  4 |  2  0  2 | * 10  * * | 1 1 0
. x x . |  4 |  0  2  2 | *  * 10 * | 1 0 1
. . x5o |  5 |  0  0  5 | *  *  * 4 | 0 1 1
--------+----+----------+-----------+------
x x x . ♦  8 |  4  4  4 | 2  2  2 0 | 5 * *
x . x5o ♦ 10 |  5  0 10 | 0  5  0 2 | * 2 *
. x x5o ♦ 10 |  0  5 10 | 0  0  5 2 | * * 2
```

```xx xx5oo&#x   → height = 1
(pip || pip)

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

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