Mesh of a true great stellated dodecahedron with triangular faces only and without self-intersection.

greatStellatedDodecahedron.off

OFF
32 60 0

-0.9341723 -1.618034 -2.088873
-0.5773503 -1 -0.2205282
-0.7136442 0 -0.9341724
-1.868345 0 2.088873
-0.3568221 0.618034 0.9341724
-1.154701 0 0.2205282
-2.088873 1.618034 0.9341723
-0.3568221 -0.618034 0.9341724
0.9341723 -1.618034 2.088873
0.7136442 0 0.9341724
0 0 2.802517
-2.088873 -1.618034 0.9341723
-2.445695 -1 -0.9341723
-0.5773503 1 -0.2205282
-0.9341723 1.618034 -2.088873
-2.445695 1 -0.9341723
0.3568221 -0.618034 -0.9341724
0.3568221 -2.618034 -0.9341723
-0.3568221 -2.618034 0.9341723
0.5773503 1 0.2205282
-0.3568221 2.618034 0.9341723
0.3568221 2.618034 -0.9341723
0.3568221 0.618034 -0.9341724
0.5773503 -1 0.2205282
2.088873 1.618034 -0.9341723
2.445695 1 0.9341723
1.154701 0 -0.2205282
1.868345 0 -2.088873
2.445695 -1 0.9341723
2.088873 -1.618034 -0.9341723
0.9341723 1.618034 2.088873
0 0 -2.802517
3  0 1 2
3  3 4 5
3  5 4 6
3  7 4 3
3  7 8 9
3  9 10 7
3  1 11 5
3  5 12 1
3  13 14 2
3  13 2 15
3  16 17 1
3  16 1 0
3  1 18 7
3  1 7 11
3  19 20 4
3  13 20 19
3  4 20 13
3  12 2 1
3  2 12 5
3  5 7 3
3  11 7 5
3  13 19 21
3  21 19 22
3  21 22 13
3  16 23 17
3  1 17 23
3  13 5 6
3  4 13 6
3  5 15 2
3  13 15 5
3  14 13 22
3  22 19 24
3  19 25 26
3  26 24 19
3  24 26 22
3  22 26 27
3  9 28 26
3  9 26 25
3  16 26 29
3  27 26 16
3  23 29 26
3  26 28 23
3  30 9 19
3  30 4 9
3  4 30 19
3  19 9 25
3  10 9 4
3  7 10 4
3  28 9 23
3  7 18 23
3  7 23 8
3  23 18 1
3  8 23 9
3  16 29 23
3  16 31 22
3  16 22 27
3  22 31 2
3  16 2 31
3  2 14 22
3  0 2 16