U-tiling: UQC1220
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1049 |
*22222 |
(2,5,3) |
{6,6} |
{4.4.3.3.4.4}{4.4.3.4.4.3} |
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
|
|
sqc2272
|
|
Fmmm |
69 |
orthorhombic |
{6,5} |
6 |
(2,5) |
G
|
False
|
|
sqc8676
|
|
Fddd |
70 |
orthorhombic |
{6,6} |
12 |
(2,6) |
D
|
False
|
|
sqc2778
|
|
Cmma |
67 |
orthorhombic |
{6,6} |
6 |
(2,5) |
Topological data
Vertex degrees | {6,6} |
2D vertex symbol | {4.4.3.3.4.4}{4.4.3.4.4.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.4:144:10 4 5 87 88 89 81 13 14 105 106 107 99 28 22 23 123 124 125 117 31 32 141 142 143 135 46 40 41 96 97 98 108 49 50 78 79 80 90 64 58 59 132 133 134 144 67 68 114 115 116 126 91 76 77 100 85 86 94 95 103 104 127 112 113 136 121 122 130 131 139 140,2 7 13 6 9 11 16 15 18 20 25 31 24 27 29 34 33 36 38 43 49 42 45 47 52 51 54 56 61 67 60 63 65 70 69 72 74 79 94 78 81 83 88 103 87 90 92 97 96 99 101 106 105 108 110 115 130 114 117 119 124 139 123 126 128 133 132 135 137 142 141 144,37 3 5 24 8 45 46 12 14 33 17 54 55 21 23 26 63 64 30 32 35 72 39 41 60 44 48 50 69 53 57 59 62 66 68 71 100 75 77 114 80 108 91 84 86 123 89 99 93 95 132 98 102 104 141 107 136 111 113 116 144 127 120 122 125 135 129 131 134 138 140 143:3 4 4 4 4 3 4 4 4 4 3 4 4 3 4 4 3 3 3 3,6 6 6 6 6 6 6 6 6 6 6 6> {(0, 16): 't2', (2, 27): 't1^-1', (0, 6): 't3', (0, 51): 't3^-1', (2, 122): 't3', (0, 41): 't2^-1', (0, 126): 't2^-1*tau1^-1*t3', (0, 62): 'tau3^-1', (0, 43): 't2^-1', (2, 18): 't1^-1', (2, 140): 't2', (2, 113): 't3^-1', (0, 125): 'tau2^-1', (0, 7): 't3', (2, 126): 'tau3^-1*t1^-1*tau2', (1, 93): 'tau1^-1', (0, 5): 't3', (0, 42): 't2^-1', (2, 131): 't2^-1', (0, 26): 'tau2^-1', (0, 135): 't2*tau1*t3^-1', (0, 99): 'tau1', (1, 120): 't3*tau1^-1*t2^-1', (0, 14): 't2', (0, 105): 't2^-1', (2, 143): 'tau3*t1*tau2^-1', (0, 50): 't3^-1', (0, 35): 'tau3', (0, 52): 't3^-1', (1, 111): 't3^-1*tau1*t2', (2, 134): 'tau3^-1*t1^-1*tau2', (1, 102): 'tau1', (2, 108): 'tau2*t1^-1*tau3^-1', (2, 62): 't1', (2, 35): 't1^-1', (0, 90): 'tau1^-1', }