x3f5o

Acronym ...

Name x3f5o,
variation of ti,
hull of raded,
hull of kri

Circumradius sqrt[(49+21 sqrt(5))/8] = 3.463334

Vertex layers

Layer	Symmetry	Subsymmetries
	`o3o5o`	`o . o`
1	`x3f5o`	`x . o` edge first
2		`F . F`
3		`f . B`
4		`C . f`
5a		`F . D`
5b		`D . F`
6		`B . C`
7		`o . T`
8		`T . x`
9		`o . T`
10		`B . C`
11a		`D . F`
11b		`F . D`
12		`C . f`
13		`f . B`
14		`F . F`
15		`x . o` opposite edge

(F=f+x, B=x+V=2f+x, C=B+x=2f+2x, D=B+f=3f+x, T=FF=3f+2x)

General of army (is itself convex)

Colonel of regiment (is itself locally convex)

Dihedral angles

between f5o and x3f: arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
between x3f and x3f (at x): arccos(-sqrt(5)/3) = 138.189685°

Face vector 60, 90, 32

Confer

uniform variant:: ti
variations:: a3b5c f3x5o (-x)3x5o

Incidence matrix according to Dynkin symbol

x3f5o

. . . | 60 |  1  2 |  2  1
------+----+-------+------
x . . |  2 | 30  * |  2  0
. f . |  2 |  * 60 |  1  1
------+----+-------+------
x3f . |  6 |  3  3 | 20  *
. f5o |  5 |  0  5 |  * 12

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