U-tiling: UQC4361
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1230 |
*22222 |
(4,4,2) |
{4,4,3,4} |
{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4} |
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
|
|
sqc2287
|
|
Fmmm |
69 |
orthorhombic |
{3,3,4,4} |
10 |
(4,4) |
|
G
|
False
|
|
sqc8803
|
|
Fddd |
70 |
orthorhombic |
{4,4,3,4} |
20 |
(4,5) |
|
D
|
False
|
|
sqc2507
|
|
Cmma |
67 |
orthorhombic |
{4,3,4,4} |
10 |
(4,4) |
Topological data
| Vertex degrees | {4,4,3,4} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<48.5:144:10 3 5 7 9 12 14 16 18 28 21 23 25 27 30 32 34 36 46 39 41 43 45 48 50 52 54 64 57 59 61 63 66 68 70 72 91 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108 127 111 113 115 117 136 120 122 124 126 129 131 133 135 138 140 142 144,2 4 6 16 80 45 11 13 15 98 54 20 22 24 34 116 63 29 31 33 134 72 38 40 42 52 107 47 49 51 89 56 58 60 70 143 65 67 69 125 74 76 78 97 108 83 85 87 106 99 92 94 96 101 103 105 110 112 114 133 144 119 121 123 142 135 128 130 132 137 139 141,19 83 84 76 77 8 9 28 101 102 94 95 17 18 119 120 112 113 26 27 137 138 130 131 35 36 55 92 93 103 104 44 45 64 74 75 85 86 53 54 128 129 139 140 62 63 110 111 121 122 71 72 109 80 81 118 89 90 127 98 99 136 107 108 116 117 125 126 134 135 143 144:7 4 4 7 4 4 7 7 7 7 7 7,4 4 3 4 4 4 3 4 3 4 4 3 4 3 4 3 3 3 4 4> {(1, 61): 'tau3^-1', (1, 123): 't3*tau1^-1*t2^-1', (1, 125): 'tau2^-1*t1*tau3', (2, 57): 'tau3^-1', (2, 58): 'tau3^-1', (1, 115): 'tau2', (1, 114): 't3^-1*tau1*t2', (1, 116): 'tau2*t1^-1*tau3^-1', (1, 105): 'tau1', (2, 46): 't3^-1', (2, 47): 't3^-1', (1, 96): 'tau1^-1', (2, 37): 't2^-1', (2, 38): 't2^-1', (1, 124): 'tau2^-1', (2, 30): 'tau3', (2, 31): 'tau3', (2, 21): 'tau2^-1', (2, 22): 'tau2^-1', (2, 11): 't2', (0, 135): 't2*tau1*t3^-1', (1, 71): 't1', (2, 1): 't3', (2, 126): 't2^-1', (2, 120): 'tau2^-1', (2, 121): 'tau2^-1', (1, 62): 't1', (2, 117): 't3', (0, 108): 't3^-1*tau1*t2', (2, 100): 't2^-1', (0, 99): 'tau1', (1, 34): 'tau3', (2, 99): 't2^-1', (0, 90): 'tau1^-1', (2, 83): 't3^-1', (2, 72): 't3'}