Calculations for a 4-frequency
Icosahedral Geodesic Patch
with Edge Length 1

Vertices

Vertex	x	y	z
(0,0)	0	0	0.95106
(0,1)	0.19324	-0.1404	0.92057
(1,0)	0.19324	0.1404	0.92057
(0,2)	0.40451	-0.29389	0.80902
(1,1)	0.42533	0	0.85065
(2,0)	0.40451	0.29389	0.80902
(0,3)	0.57971	-0.42119	0.62533
(1,2)	0.63799	-0.15451	0.68819
(2,1)	0.63799	0.15451	0.68819
(3,0)	0.57971	0.42119	0.62533
(0,4)	0.68819	-0.5	0.42533
(1,3)	0.77295	-0.28079	0.47771
(2,2)	0.80902	0	0.5
(3,1)	0.77295	0.28079	0.47771
(4,0)	0.68819	0.5	0.42533

Chord Lengths

Chords	Count	Length
(0,0)-(0,1) (0,0)-(1,0) (0,3)-(0,4) (0,4)-(1,3) (3,0)-(4,0) (3,1)-(4,0)	6	0.24079
(0,1)-(1,1) (1,0)-(1,1) (0,3)-(1,2) (2,1)-(3,0) (1,2)-(1,3) (2,1)-(3,1)	6	0.28012
(0,1)-(1,0) (0,3)-(1,3) (3,0)-(3,1)	3	0.28079
(0,1)-(0,2) (1,0)-(2,0) (0,2)-(0,3) (2,0)-(3,0) (1,3)-(2,2) (2,2)-(3,1)	6	0.28397
(0,2)-(1,1) (1,1)-(2,0) (0,2)-(1,2) (2,0)-(2,1) (1,2)-(2,2) (2,1)-(2,2)	6	0.29756
(1,1)-(1,2) (1,1)-(2,1) (1,2)-(2,1)	3	0.30902