Acronym gipe Name great-icosahedron prism Cross sections ` ©` Circumradius sqrt[(7-sqrt(5))/8] = 0.771681 Colonel of regiment sissiddip Externallinks

As abstract polytope ipe is isomorphic to gipe, thereby replacing ike by gike.

Incidence matrix according to Dynkin symbol

```x x3o5/2o

. . .   . | 24 |  1  5 |  5  5 |  5 1
----------+----+-------+-------+-----
x . .   . |  2 | 12  * |  5  0 |  5 0
. x .   . |  2 |  * 60 |  1  2 |  2 1
----------+----+-------+-------+-----
x x .   . |  4 |  2  2 | 30  * |  2 0
. x3o   . |  3 |  0  3 |  * 40 |  1 1
----------+----+-------+-------+-----
x x3o   . ♦  6 |  3  6 |  3  2 | 20 *
. x3o5/2o ♦ 12 |  0 30 |  0 20 |  * 2
```

```x x3o5/3o

. . .   . | 24 |  1  5 |  5  5 |  5 1
----------+----+-------+-------+-----
x . .   . |  2 | 12  * |  5  0 |  5 0
. x .   . |  2 |  * 60 |  1  2 |  2 1
----------+----+-------+-------+-----
x x .   . |  4 |  2  2 | 30  * |  2 0
. x3o   . |  3 |  0  3 |  * 40 |  1 1
----------+----+-------+-------+-----
x x3o   . ♦  6 |  3  6 |  3  2 | 20 *
. x3o5/3o ♦ 12 |  0 30 |  0 20 |  * 2
```

```x x3/2o5/2o

. .   .   . | 24 |  1  5 |  5  5 |  5 1
------------+----+-------+-------+-----
x .   .   . |  2 | 12  * |  5  0 |  5 0
. x   .   . |  2 |  * 60 |  1  2 |  2 1
------------+----+-------+-------+-----
x x   .   . |  4 |  2  2 | 30  * |  2 0
. x3/2o   . |  3 |  0  3 |  * 40 |  1 1
------------+----+-------+-------+-----
x x3/2o   . ♦  6 |  3  6 |  3  2 | 20 *
. x3/2o5/2o ♦ 12 |  0 30 |  0 20 |  * 2
```

```x x3/2o5/3o

. .   .   . | 24 |  1  5 |  5  5 |  5 1
------------+----+-------+-------+-----
x .   .   . |  2 | 12  * |  5  0 |  5 0
. x   .   . |  2 |  * 60 |  1  2 |  2 1
------------+----+-------+-------+-----
x x   .   . |  4 |  2  2 | 30  * |  2 0
. x3/2o   . |  3 |  0  3 |  * 40 |  1 1
------------+----+-------+-------+-----
x x3/2o   . ♦  6 |  3  6 |  3  2 | 20 *
. x3/2o5/3o ♦ 12 |  0 30 |  0 20 |  * 2
```

```x s3/2s3/2s

. demi( .   .   . ) | 24 |  1  1  2  2 | 1 1 1  2  2  3 | 1 1 1  3
--------------------+----+-------------+----------------+---------
.     ( s   2   s ) |  2 | 12  *  *  * | 1 0 0  0  0  2 | 0 0 1  2
x demi( .   .   . ) |  2 |  * 12  *  * | 1 0 0  2  2  0 | 1 1 0  3
. sefa( s3/2s   . ) |  2 |  *  * 24  * | 0 1 0  1  0  1 | 1 0 1  1
. sefa( .   s3/2s ) |  2 |  *  *  * 24 | 0 0 1  0  1  1 | 0 1 1  1
--------------------+----+-------------+----------------+---------
x     ( s   2   s ) |  4 |  2  2  0  0 | 6 * *  *  *  * | 0 0 0  2
.       s3/2s   .   ♦  3 |  0  0  3  0 | * 8 *  *  *  * | 1 0 1  0
.       .   s3/2s   ♦  3 |  0  0  0  3 | * * 8  *  *  * | 0 1 1  0
x sefa( s3/2s   . ) |  4 |  0  2  2  0 | * * * 12  *  * | 1 0 0  1
x sefa( .   s3/2s ) |  4 |  0  2  0  2 | * * *  * 12  * | 0 1 0  1
. sefa( s3/2s3/2s ) |  3 |  1  0  1  1 | * * *  *  * 24 | 0 0 1  1
--------------------+----+-------------+----------------+---------
x       s3/2s   .   ♦  6 |  0  3  6  0 | 0 2 0  3  0  0 | 4 * *  *
x       .   s3/2s   ♦  6 |  0  3  0  6 | 0 0 2  0  3  0 | * 4 *  *
.       s3/2s3/2s   ♦ 12 |  6  0 12 12 | 0 4 4  0  0 12 | * * 2  *
x sefa( s3/2s3/2s ) ♦  6 |  2  3  2  2 | 1 0 0  1  1  2 | * * * 12
```

```xx3oo5/2oo&#x   → height = 1
(gike || gike)

o.3o.5/2o.    | 12  * |  5  1  0 |  5  5  0 | 1  5 0
.o3.o5/2.o    |  * 12 |  0  1  5 |  0  5  5 | 0  5 1
--------------+-------+----------+----------+-------
x. ..   ..    |  2  0 | 30  *  * |  2  1  0 | 1  2 0
oo3oo5/2oo&#x |  1  1 |  * 12  * |  0  5  0 | 0  5 0
.x ..   ..    |  0  2 |  *  * 30 |  0  1  2 | 0  2 1
--------------+-------+----------+----------+-------
x.3o.   ..    |  3  0 |  3  0  0 | 20  *  * | 1  1 0
xx ..   ..&#x |  2  2 |  1  2  1 |  * 30  * | 0  2 0
.x3.o   ..    |  0  3 |  0  0  3 |  *  * 20 | 0  1 1
--------------+-------+----------+----------+-------
x.3o.5/2o.    ♦ 12  0 | 30  0  0 | 20  0  0 | 1  * *
xx3oo   ..&#x ♦  3  3 |  3  3  3 |  1  3  1 | * 20 *
.x3.o5/2.o    ♦  0 12 |  0  0 30 |  0  0 20 | *  * 1
```