Calculations for a 2-frequency
Icosahedral Geodesic Patch
with Edge Length 1

Vertices

Vertex	x	y	z
(0,0)	0	0	0.95106
(0,1)	0.40451	-0.29389	0.80902
(1,0)	0.40451	0.29389	0.80902
(0,2)	0.68819	-0.5	0.42533
(1,1)	0.80902	0	0.5
(2,0)	0.68819	0.5	0.42533

Chord Lengths

Chords	Count	Length
(0,0)-(0,1) (0,0)-(1,0) (0,1)-(0,2) (0,2)-(1,1) (1,0)-(2,0) (1,1)-(2,0)	6	0.51978
(0,1)-(1,0) (0,1)-(1,1) (1,0)-(1,1)	3	0.58779

Subface Definition

Vertices	Direction Coefficients
	A	B	C
(0,0) (0,1) (1,0)	0.08349	0	0.23776
(0,1) (0,2) (1,1)	0.17645	-0.06754	0.16674
(0,1) (1,0) (1,1)	-0.18164	0	-0.23776
(1,0) (1,1) (2,0)	0.17645	0.06754	0.16674

Fastening Angles

Vertices	Edge	Fastening Angle
		radians	degrees
(0,0) (0,1) (1,0)	(0,0) (0,1)	1.37481	78.77054
	(0,1) (1,0)	1.44484	82.78321
	(1,0) (0,0)	1.37481	78.77054
(0,1) (0,2) (1,1)	(0,1) (0,2)	1.37481	78.77054
	(0,2) (1,1)	1.37481	78.77054
	(1,1) (0,1)	1.44484	82.78321
(0,1) (1,0) (1,1)	(0,1) (1,0)	1.38209	79.18768
	(1,0) (1,1)	1.38209	79.18768
	(1,1) (0,1)	1.38209	79.18768
(1,0) (1,1) (2,0)	(1,0) (1,1)	1.44484	82.78321
	(1,1) (2,0)	1.37481	78.77054
	(2,0) (1,0)	1.37481	78.77054