Acronym gyepippip
Name gyroelongated-pentagonal-pyramid prism
Segmentochoron display
Circumradius sqrt[(7+sqrt(5))/8] = 1.074481
Face vector 22, 61, 57, 18
Confer
uniform relative:
ipe  
general polytopal classes:
segmentochora   bistratic lace towers  

Incidence matrix according to Dynkin symbol

xxx oox5oxo&#xt   → height(1,2) = sqrt((5-sqrt(5))/10) = 0.525731
                    height(2,3) = sqrt((5+sqrt(5))/10) = 0.850651
(line || pseudo pip || gyro pip)

o.. o..5o..     | 2  *  * | 1  5 0  0  0 0  0 | 5  5 0  0  0  0 0 0 | 5 1 0 0 0
.o. .o.5.o.     | * 10  * | 0  1 1  2  2 0  0 | 1  2 2  2  1  2 0 0 | 2 1 1 2 0
..o ..o5..o     | *  * 10 | 0  0 0  0  2 1  2 | 0  0 0  2  2  1 2 1 | 0 1 2 1 1
----------------+---------+-------------------+---------------------+----------
x.. ... ...     | 2  0  0 | 1  * *  *  * *  * | 5  0 0  0  0  0 0 0 | 5 0 0 0 0
oo. oo.5oo.&#x  | 1  1  0 | * 10 *  *  * *  * | 1  2 0  0  0  0 0 0 | 2 1 0 0 0
.x. ... ...     | 0  2  0 | *  * 5  *  * *  * | 1  0 2  2  0  0 0 0 | 2 0 1 2 0
... ... .x.     | 0  2  0 | *  * * 10  * *  * | 0  1 1  0  0  1 0 0 | 1 1 0 1 0
.oo .oo5.oo&#x  | 0  1  1 | *  * *  * 20 *  * | 0  0 0  1  1  1 0 0 | 0 1 1 1 0
..x ... ...     | 0  0  2 | *  * *  *  * 5  * | 0  0 0  2  0  0 2 0 | 0 0 2 1 1
... ..x ...     | 0  0  2 | *  * *  *  * * 10 | 0  0 0  0  1  0 1 1 | 0 1 1 0 1
----------------+---------+-------------------+---------------------+----------
xx. ... ...&#x  | 2  2  0 | 1  2 1  0  0 0  0 | 5  * *  *  *  * * * | 2 0 0 0 0
... ... ox.&#x  | 1  2  0 | 0  2 0  1  0 0  0 | * 10 *  *  *  * * * | 1 1 0 0 0
.x. ... .x.     | 0  4  0 | 0  0 2  2  0 0  0 | *  * 5  *  *  * * * | 1 0 0 1 0
.xx ... ...&#x  | 0  2  2 | 0  0 1  0  2 1  0 | *  * * 10  *  * * * | 0 0 1 1 0
... .ox ...&#x  | 0  1  2 | 0  0 0  0  2 0  1 | *  * *  * 10  * * * | 0 1 1 0 0
... ... .xo&#x  | 0  2  1 | 0  0 0  1  2 0  0 | *  * *  *  * 10 * * | 0 1 0 1 0
..x ..x ...     | 0  0  4 | 0  0 0  0  0 2  2 | *  * *  *  *  * 5 * | 0 0 1 0 1
... ..x5..o     | 0  0  5 | 0  0 0  0  0 0  5 | *  * *  *  *  * * 2 | 0 1 0 0 1
----------------+---------+-------------------+---------------------+----------
xx. ... ox.&#x   2  4  0 | 1  4 2  2  0 0  0 | 2  2 1  0  0  0 0 0 | 5 * * * *
... oox5oxo&#xt  1  5  5 | 0  5 0  5 10 0  5 | 0  5 0  0  5  5 0 1 | * 2 * * *
.xx .ox ...&#x   0  2  4 | 0  0 1  0  4 2  2 | 0  0 0  2  2  0 1 0 | * * 5 * *
.xx ... .xo&#x   0  4  2 | 0  0 2  2  4 1  0 | 0  0 1  2  0  2 0 0 | * * * 5 *
..x ..x5..o      0  0 10 | 0  0 0  0  0 5 10 | 0  0 0  0  0  0 5 2 | * * * * 1

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