U-tiling: UQC3901
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc51 |
*2223 |
(2,2,1) |
{4,3} |
{6.6.6.6}{6.6.6} |
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
|
|
sqc3026
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4} |
10 |
(3,5) |
|
G
|
False
|
|
sqc8830
|
|
Fddd |
70 |
orthorhombic |
{4,3,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2874
|
|
Cmma |
67 |
orthorhombic |
{4,3,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.5:144:10 3 5 87 8 90 12 14 105 17 108 28 21 23 123 26 126 30 32 141 35 144 46 39 41 96 44 99 48 50 78 53 81 64 57 59 132 62 135 66 68 114 71 117 91 75 77 80 100 84 86 89 93 95 98 102 104 107 127 111 113 116 136 120 122 125 129 131 134 138 140 143,2 39 6 7 9 11 48 15 16 18 20 57 24 25 27 29 66 33 34 36 38 42 43 45 47 51 52 54 56 60 61 63 65 69 70 72 74 102 78 79 81 83 93 87 88 90 92 96 97 99 101 105 106 108 110 138 114 115 117 119 129 123 124 126 128 132 133 135 137 141 142 144,19 4 5 24 43 44 81 28 13 14 33 52 53 99 22 23 61 62 117 31 32 70 71 135 55 40 41 60 108 64 49 50 69 90 58 59 144 67 68 126 109 76 77 114 106 107 118 85 86 123 97 98 127 94 95 132 136 103 104 141 112 113 142 143 121 122 133 134 130 131 139 140:6 6 6 6 6 6 6 6 6 6 6 6,4 3 4 4 3 4 3 4 3 4 4 4 4 3 4 3 4 4 3 3> {(2, 60): 't1', (2, 61): 't1', (2, 62): 'tau3^-1', (0, 50): 't3^-1', (1, 119): 'tau2^-1*t1*tau3', (0, 53): 't3^-1', (0, 41): 't2^-1', (0, 44): 't2^-1', (1, 110): 'tau2*t1^-1*tau3^-1', (2, 33): 't1^-1', (2, 34): 't1^-1', (2, 35): 'tau3', (2, 26): 'tau2^-1', (0, 17): 't2', (2, 142): 'tau3*t1*tau2^-1', (2, 140): 't2', (2, 141): 'tau3*t1*tau2^-1', (0, 8): 't3', (0, 14): 't2', (2, 132): 'tau3^-1*t1^-1*tau2', (2, 133): 'tau3^-1*t1^-1*tau2', (2, 135): 't2', (0, 135): 't2*tau1*t3^-1', (0, 5): 't3', (2, 126): 't2^-1', (0, 126): 't2^-1*tau1^-1*t3', (2, 122): 't3', (2, 117): 't3', (2, 113): 't3^-1', (2, 108): 't3^-1', (1, 65): 't1', (0, 99): 'tau1', (0, 90): 'tau1^-1', (2, 95): 't2', (1, 20): 't1^-1', (2, 71): 'tau2'}