Calculations for a 5-frequency
Icosahedral Geodesic Patch
with Edge Length 1

Vertices

Vertex	x	y	z
(0,0)	0	0	0.95106
(0,1)	0.15171	-0.11022	0.93239
(1,0)	0.15171	0.11022	0.93239
(0,2)	0.32116	-0.23334	0.86424
(1,1)	0.33129	0	0.89149
(2,0)	0.32116	0.23334	0.86424
(0,3)	0.48174	-0.35001	0.74157
(1,2)	0.51365	-0.1244	0.79069
(2,1)	0.51365	0.1244	0.79069
(3,0)	0.48174	0.35001	0.74157
(0,4)	0.60683	-0.44089	0.5847
(1,3)	0.66258	-0.2407	0.63841
(2,2)	0.68487	0	0.65989
(3,1)	0.66258	0.2407	0.63841
(4,0)	0.60683	0.44089	0.5847
(0,5)	0.68819	-0.5	0.42533
(1,4)	0.75854	-0.33067	0.46881
(2,3)	0.80291	-0.11667	0.49622
(3,2)	0.80291	0.11667	0.49622
(4,1)	0.75854	0.33067	0.46881
(5,0)	0.68819	0.5	0.42533

Chord Lengths

Chords	Count	Length
(0,0)-(0,1) (0,0)-(1,0) (0,4)-(0,5) (0,5)-(1,4) (4,0)-(5,0) (4,1)-(5,0)	6	0.18845
(0,1)-(1,1) (1,0)-(1,1) (0,4)-(1,3) (3,1)-(4,0) (1,3)-(1,4) (3,1)-(4,1)	6	0.21464
(0,1)-(0,2) (1,0)-(2,0) (0,3)-(0,4) (3,0)-(4,0) (1,4)-(2,3) (3,2)-(4,1)	6	0.22026
(0,1)-(1,0) (0,4)-(1,4) (4,0)-(4,1)	3	0.22045
(0,2)-(1,2) (0,3)-(1,2) (2,0)-(2,1) (2,1)-(3,0) (2,2)-(2,3) (2,2)-(3,2)	6	0.23309
(0,2)-(0,3) (2,0)-(3,0) (2,3)-(3,2)	3	0.23334
(0,2)-(1,1) (1,1)-(2,0) (0,3)-(1,3) (3,0)-(3,1) (1,3)-(2,3) (3,1)-(3,2)	6	0.23514
(1,1)-(1,2) (1,1)-(2,1) (1,2)-(1,3) (1,3)-(2,2) (2,1)-(3,1) (2,2)-(3,1)	6	0.24268
(1,2)-(2,1) (1,2)-(2,2) (2,1)-(2,2)	3	0.24879