U-tiling: UQC698
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
|
True
|
|
sqc55
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
3 |
(2,5) |
G
|
False
|
|
sqc7528
|
|
Fddd |
70 |
orthorhombic |
{4,8} |
12 |
(2,5) |
D
|
False
|
|
sqc1864
|
|
Cmma |
67 |
orthorhombic |
{4,8} |
6 |
(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
<21.3:128:33 10 11 5 14 15 24 41 13 32 49 26 27 21 30 31 57 29 42 43 37 46 47 56 45 64 58 59 53 62 63 61 89 82 83 69 86 87 104 81 90 91 77 94 95 112 85 120 93 128 121 114 115 101 118 119 113 122 123 109 126 127 117 125,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,65 3 68 69 7 80 81 11 84 85 15 96 97 19 100 101 23 112 113 27 116 117 31 128 89 35 92 93 39 88 73 43 76 77 47 72 121 51 124 125 55 120 105 59 108 109 63 104 67 71 75 79 83 87 91 95 99 103 107 111 115 119 123 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 8 4 8 4 8 4 4 4 4> {(0, 103): 't3^-1', (0, 98): 't3^-1*tau1*t2', (2, 27): 'tau3', (0, 126): 't2*tau1*t3^-1', (2, 47): 't3^-1', (2, 20): 'tau2^-1', (2, 51): 'tau3^-1', (2, 56): 'tau2', (0, 73): 'tau1^-1', (0, 125): 't2*tau1*t3^-1', (2, 7): 't3', (0, 119): 't2^-1', (2, 16): 'tau2^-1', (0, 121): 't2*tau1*t3^-1', (0, 120): 'tau3*t1*tau2^-1', (0, 111): 't3', (0, 94): 'tau1', (0, 112): 'tau3^-1*t1^-1*tau2', (0, 81): 'tau1^-1', (2, 28): 'tau3', (0, 48): 't1', (2, 59): 'tau2', (0, 102): 't3^-1*tau1*t2', (0, 93): 'tau1', (2, 15): 't2', (2, 52): 'tau3^-1', (0, 127): 't2', (2, 19): 'tau2^-1', (2, 24): 'tau3', (2, 39): 't2^-1', (0, 106): 't3*tau1^-1*t2^-1', (2, 48): 'tau3^-1', (0, 86): 'tau1^-1', (0, 82): 'tau1^-1', (0, 56): 't1', (0, 101): 't3^-1*tau1*t2', (0, 90): 'tau1', (0, 85): 'tau1^-1', (0, 113): 't2^-1*tau1^-1*t3', (2, 60): 'tau2', }