U-tiling: UQC700
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc603 |
*22222 |
(2,5,3) |
{4,8} |
{4.4.4.4}{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
|
False
|
|
sqc1787
|
|
Fmmm |
69 |
orthorhombic |
{4,8} |
6 |
(2,5) |
|
G
|
False
|
|
sqc7481
|
|
Fddd |
70 |
orthorhombic |
{8,4} |
12 |
(2,5) |
|
D
|
True
|
|
sqc55
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
3 |
(2,5) |
Topological data
| Vertex degrees | {4,8} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.1:128:73 66 67 5 70 71 40 89 82 83 13 86 87 48 105 98 99 21 102 103 56 121 114 115 29 118 119 64 81 90 91 37 94 95 65 74 75 45 78 79 113 122 123 53 126 127 97 106 107 61 110 111 69 96 77 88 85 93 101 128 109 120 117 125,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,17 3 20 21 7 16 25 11 28 29 15 19 23 32 27 31 49 35 52 53 39 48 57 43 60 61 47 51 55 64 59 63 97 67 100 101 71 88 105 75 108 109 79 96 113 83 116 117 87 121 91 124 125 95 99 103 120 107 111 128 115 119 123 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 4 8 4 4 8 4 8 4 4> {(0, 29): 'tau3', (2, 120): 't2', (2, 127): 't2*tau1*t3^-1', (0, 18): 'tau2^-1', (2, 112): 't2^-1', (0, 8): 't2', (0, 53): 'tau3^-1', (0, 62): 'tau2', (2, 123): 't2', (0, 55): 't1', (0, 32): 't2^-1', (2, 107): 't3', (0, 22): 'tau2^-1', (0, 57): 'tau2', (2, 96): 't3^-1', (0, 17): 'tau2^-1', (0, 26): 'tau3', (0, 127): 'tau3*t1*tau2^-1', (0, 119): 'tau3^-1*t1^-1*tau2', (0, 61): 'tau2', (2, 104): 't3', (0, 50): 'tau3^-1', (0, 63): 't1', (0, 40): 't3^-1', (0, 21): 'tau2^-1', (0, 30): 'tau3', (2, 95): 'tau1', (2, 103): 't3^-1*tau1*t2', (2, 108): 't3', (2, 116): 't2^-1', (0, 0): 't3', (2, 100): 't3^-1', (0, 54): 'tau3^-1', (2, 87): 'tau1^-1', (0, 25): 'tau3', (2, 99): 't3^-1', (2, 124): 't2', (2, 115): 't2^-1', (0, 49): 'tau3^-1', (0, 58): 'tau2', }