U-tiling: UQC3175
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2416 |
*222222 |
(2,8,6) |
{5,6} |
{4.4.4.4.4}{4.4.4.4.4.4} |
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
|
|
sqc1511
|
|
Pmmm |
47 |
orthorhombic |
{5,5} |
6 |
(2,6) |
G
|
False
|
|
sqc7565
|
|
I212121 |
24 |
orthorhombic |
{6,5,5} |
12 |
(3,9) |
D
|
False
|
|
sqc1880
|
|
P222 |
16 |
orthorhombic |
{5,6} |
6 |
(2,8) |
Topological data
Vertex degrees | {6,5} |
2D vertex symbol | {4.4.4.4.4}{4.4.4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:128:33 66 67 6 7 72 73 26 27 44 45 78 79 80 49 82 83 22 23 88 89 60 61 94 95 96 98 99 38 39 104 105 58 59 110 111 112 114 115 54 55 120 121 126 127 128 97 70 71 90 91 108 109 113 86 87 124 125 102 103 122 123 118 119,2 4 16 8 15 10 12 14 18 20 32 24 31 26 28 30 34 36 48 40 47 42 44 46 50 52 64 56 63 58 60 62 66 68 80 72 79 74 76 78 82 84 96 88 95 90 92 94 98 100 112 104 111 106 108 110 114 116 128 120 127 122 124 126,17 3 5 7 9 11 13 15 32 19 21 23 25 27 29 31 49 35 37 39 41 43 45 47 64 51 53 55 57 59 61 63 81 67 69 71 73 75 77 79 96 83 85 87 89 91 93 95 113 99 101 103 105 107 109 111 128 115 117 119 121 123 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,6 5 5 6 5 5 6 5 5 6 5 5> {(0, 29): 'tau3', (0, 124): 'tau2^-1*t3^-1*tau1*t2', (0, 60): 'tau2^-1*t1', (0, 18): 't1^-1', (0, 31): 'tau3', (0, 107): 'tau1*t2', (0, 62): 't3*tau1^-1*t2^-1*tau3*t1', (0, 43): 't3', (0, 121): 'tau2^-1*t3^-1', (0, 45): 't3*tau1^-1', (2, 80): 'tau3^-1*t2', (0, 57): 'tau2^-1*t3^-1', (2, 95): 'tau3^-1*t2', (0, 47): 't3*tau1^-1', (0, 24): 't1^-1', (0, 14): 't2', (0, 59): 'tau2^-1*t1', (0, 17): 't1^-1', (0, 26): 't1^-1', (0, 112): 't1^-1', (0, 61): 't3*tau1^-1*t2^-1*tau3*t1', (0, 63): 't3*tau1^-1*t2^-1*tau3*t1', (0, 123): 'tau2^-1*t3^-1*tau1*t2', (0, 30): 'tau3', (0, 122): 'tau2^-1*t3^-1', (0, 23): 't1^-1', (0, 108): 'tau1*t2', (0, 13): 't2', (2, 112): 't1^-1*tau3^-1*t2', (0, 44): 't3', (0, 25): 't1^-1', (0, 15): 't2', (2, 127): 't1^-1*tau3^-1*t2', (0, 46): 't3*tau1^-1', (0, 58): 'tau2^-1*t3^-1', }