U-tiling: UQC3721
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc818 |
*22222 |
(3,4,2) |
{8,4,4} |
{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5} |
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
|
|
sqc1552
|
|
Fmmm |
69 |
orthorhombic |
{8,3,4} |
6 |
(3,4) |
|
G
|
False
|
|
sqc7764
|
|
Fddd |
70 |
orthorhombic |
{8,4,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc1859
|
|
Cmma |
67 |
orthorhombic |
{4,4,8} |
6 |
(3,4) |
Topological data
| Vertex degrees | {8,4,4} |
| 2D vertex symbol | {3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.3:128:65 3 5 7 80 81 11 13 15 96 97 19 21 23 112 113 27 29 31 128 89 35 37 39 88 73 43 45 47 72 121 51 53 55 120 105 59 61 63 104 67 69 71 75 77 79 83 85 87 91 93 95 99 101 103 107 109 111 115 117 119 123 125 127,2 67 6 77 8 10 83 14 93 16 18 99 22 109 24 26 115 30 125 32 34 91 38 85 40 42 75 46 69 48 50 123 54 117 56 58 107 62 101 64 66 70 72 74 78 80 82 86 88 90 94 96 98 102 104 106 110 112 114 118 120 122 126 128,33 4 5 14 15 24 41 12 13 32 49 20 21 30 31 57 28 29 36 37 46 47 56 44 45 64 52 53 62 63 60 61 89 68 69 86 87 104 81 76 77 94 95 112 84 85 120 92 93 128 121 100 101 118 119 113 108 109 126 127 116 117 124 125:3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5,8 4 4 4 8 4 4 4 8 4 4 8> {(0, 56): 'tau2', (1, 122): 'tau3', (2, 56): 't1', (0, 48): 'tau3^-1', (1, 114): 'tau3^-1', (2, 48): 't1', (1, 106): 'tau2^-1', (0, 47): 't3^-1', (1, 98): 'tau2', (0, 39): 't2^-1', (0, 24): 'tau3', (1, 92): 't2^-1', (0, 16): 'tau2^-1', (1, 84): 't2', (0, 15): 't2', (0, 7): 't3', (2, 125): 't2*tau1*t3^-1', (2, 126): 't2*tau1*t3^-1', (2, 120): 'tau3*t1*tau2^-1', (2, 117): 't2^-1*tau1^-1*t3', (2, 119): 't2^-1', (2, 112): 'tau3^-1*t1^-1*tau2', (2, 111): 't3', (1, 44): 't3^-1', (2, 102): 't3^-1*tau1*t2', (2, 93): 'tau1', (2, 94): 'tau1', (2, 95): 't2^-1', (2, 85): 'tau1^-1', (2, 86): 'tau1^-1', (2, 71): 't3', (1, 4): 't3'}