U-tiling: UQC550
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc363 |
*22222 |
(2,3,3) |
{5,4} |
{4.6.4.6.4}{6.4.6.4} |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
True
|
|
sqc970
|
sod
|
Im-3m |
229 |
cubic |
{4} |
6 |
(1,1) |
G
|
False
|
|
sqc6574
|
|
Fddd |
70 |
orthorhombic |
{5,4} |
12 |
(2,4) |
D
|
False
|
|
sqc73
|
|
Pmmm |
47 |
orthorhombic |
{5,4} |
3 |
(2,3) |
Topological data
Vertex degrees | {5,4} |
2D vertex symbol | {4.6.4.6.4}{6.4.6.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.5:112:15 65 66 6 7 22 79 80 13 14 93 94 20 21 107 108 27 28 43 72 73 34 35 50 58 59 41 42 100 101 48 49 86 87 55 56 85 62 63 92 69 70 99 76 77 106 83 84 90 91 97 98 104 105 111 112,2 4 12 62 35 9 11 76 42 16 18 26 90 49 23 25 104 56 30 32 40 83 37 39 69 44 46 54 111 51 53 97 58 60 75 84 65 67 82 77 72 74 79 81 86 88 103 112 93 95 110 105 100 102 107 109,8 3 5 7 10 12 14 22 17 19 21 24 26 28 36 31 33 35 38 40 42 50 45 47 49 52 54 56 71 59 61 63 78 66 68 70 73 75 77 80 82 84 99 87 89 91 106 94 96 98 101 103 105 108 110 112:4 6 4 4 6 6 4 6 4 4 4 4,5 4 4 5 4 4 5 5 5 5 5 5> {(0, 29): 't2^-1', (0, 8): 't2', (1, 48): 't1', (2, 56): 'tau1', (0, 1): 't3', (1, 104): 'tau3^-1*t1^-1*tau2', (1, 103): 'tau3^-1', (2, 105): 't2*tau1*t3^-1', (2, 98): 't2^-1*tau1^-1*t3', (0, 9): 't2', (1, 55): 't1', (0, 63): 't3^-1', (0, 30): 't2^-1', (1, 111): 'tau3*t1*tau2^-1', (1, 102): 't2^-1*tau1^-1*t3', (0, 2): 't3', (0, 56): 't3', (0, 105): 't2', (1, 110): 'tau3', (1, 81): 'tau1', (2, 63): 'tau1^-1', (0, 98): 't2^-1', (0, 36): 't3^-1', (1, 89): 'tau2', (1, 109): 't2*tau1*t3^-1', (1, 74): 'tau1^-1', (1, 96): 'tau2^-1', (0, 58): 't3', }