f3x5o

Acronym ...

Name f3x5o,
variation of ti,
hull of tigid,
hull of gaddid

Circumradius sqrt[19+8 sqrt(5)]/2 = 3.036797

Vertex layers

Layer	Symmetry	Subsymmetries
	`o3o5o`	`o3o .`	`o . o`
1	`f3x5o`	`f3x .` (f,x)-{6} first	`f . o` f-edge first
2		`F3f .`	`F . f`
3a		`B3o .`	`x . B`
3b		`B3o .`	`B . x`
4		`x3B .`	`f . C`
5a		`f3B .`	`C . F`
5b		`C3o .`	`o . D`
6a		`o3C .`	`B . B`
6b		`B3f .`	`B . B`
7		`B3x .`	`D . f`
8		`o3B .`	`B . B`
9a		`f3F .`	`o . D`
9b		`f3F .`	`C . F`
10		`x3f .` opposite (x,f)-{6}	`f . C`
11a			`B . x`
11b			`x . B`
12			`F . f`
13			`f . o` opposite f-edge

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

General of army (is itself convex)

Colonel of regiment (is itself locally convex)

Dihedral angles

between x5o and f3x: arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
between f3x and f3x (at f): arccos(-sqrt(5)/3) = 138.189685°

Face vector 60, 90, 32

Confer

uniform variant:: ti
variations:: a3b5c x3f5o (-x)3x5o

Incidence matrix according to Dynkin symbol

f3x5o

. . . | 60 |  1  2 |  2  1
------+----+-------+------
f . . |  2 | 30  * |  2  0
. x . |  2 |  * 60 |  1  1
------+----+-------+------
f3x . |  6 |  3  3 | 20  *
. x5o |  5 |  0  5 |  * 12

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