U-tiling: UQC3237
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2441 |
*222222 |
(2,8,7) |
{5,7} |
{4.4.3.4.4}{3.4.4.4.4.4.4} |
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
|
|
sqc7445
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
12 |
(2,6) |
|
G
|
False
|
|
sqc8265
|
|
I212121 |
24 |
orthorhombic |
{7,5,5} |
12 |
(3,9) |
|
D
|
False
|
|
sqc2222
|
|
P222 |
16 |
orthorhombic |
{5,7} |
6 |
(2,8) |
Topological data
| Vertex degrees | {7,5} |
| 2D vertex symbol | {4.4.3.4.4}{3.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<51.1:136:35 70 71 21 22 8 9 27 28 46 47 82 83 33 34 52 87 88 25 26 63 64 99 100 104 105 55 56 42 43 61 62 116 117 67 68 121 122 59 60 133 134 103 89 90 76 77 95 96 114 115 101 102 120 93 94 131 132 123 124 110 111 129 130 135 136 127 128,2 4 6 24 10 17 12 14 16 19 21 23 27 34 29 31 33 36 38 40 58 44 51 46 48 50 53 55 57 61 68 63 65 67 70 72 74 92 78 85 80 82 84 87 89 91 95 102 97 99 101 104 106 108 126 112 119 114 116 118 121 123 125 129 136 131 133 135,18 3 5 7 9 11 13 15 17 20 22 24 26 28 30 32 34 52 37 39 41 43 45 47 49 51 54 56 58 60 62 64 66 68 86 71 73 75 77 79 81 83 85 88 90 92 94 96 98 100 102 120 105 107 109 111 113 115 117 119 122 124 126 128 130 132 134 136:4 4 4 3 4 4 4 4 4 4 4 3 4 4 3 4 4 3,7 5 5 7 5 5 7 5 5 7 5 5> {(0, 134): 't1^-1*tau3^-1*t2', (0, 60): 'tau2^-1*t3^-1', (0, 18): 't1^-1', (0, 31): 'tau3', (0, 62): 'tau2^-1*t1', (0, 20): 't1^-1', (0, 129): 'tau2^-1*t3^-1', (0, 55): 'tau2^-1*t3^-1', (0, 45): 't3', (0, 119): 't1^-1', (0, 47): 't3*tau1^-1', (2, 85): 'tau3^-1*t2', (0, 133): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 14): 't2', (0, 123): 'tau2^-1*t3^-1', (0, 100): 'tau3^-1*t2', (0, 26): 't1^-1', (0, 135): 't1^-1*tau3^-1*t2', (0, 48): 't3*tau1^-1', (0, 61): 'tau2^-1*t3^-1', (0, 19): 't1^-1', (0, 114): 'tau1*t2', (0, 63): 'tau2^-1*t1', (0, 21): 't1^-1', (0, 30): 'tau3', (0, 97): 't2^-1*tau1^-1*t3*tau2', (0, 128): 'tau2^-1*t3^-1', (0, 13): 't2', (0, 54): 'tau2^-1*t3^-1', (2, 119): 't1^-1*tau3^-1*t2', (0, 130): 'tau2^-1*t3^-1*tau1*t2', (1, 74): 't2^-1*tau3', (1, 125): 't1^-1*tau3^-1*t2', (0, 101): 'tau3^-1*t2', (0, 46): 't3', (0, 27): 't1^-1', (0, 132): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 113): 'tau1*t2', (0, 122): 'tau2^-1*t3^-1', }