U-tiling: UQC3886
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1105 |
*22222 |
(3,5,2) |
{4,3,4} |
{3.12.12.3}{3.12.12}{12.12.12.12} |
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
|
|
sqc308
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4} |
5 |
(3,5) |
|
G
|
False
|
|
sqc8824
|
|
Fddd |
70 |
orthorhombic |
{4,3,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2900
|
|
Cmma |
67 |
orthorhombic |
{3,4,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {3.12.12.3}{3.12.12}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.4:144:37 3 5 24 8 90 46 12 14 33 17 108 55 21 23 26 126 64 30 32 35 144 39 41 60 44 99 48 50 69 53 81 57 59 62 135 66 68 71 117 100 75 77 114 80 91 84 86 123 89 93 95 132 98 102 104 141 107 136 111 113 116 127 120 122 125 129 131 134 138 140 143,2 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 99 101 105 106 108 110 138 114 115 117 119 129 123 124 126 128 132 133 135 137 141 142 144,10 4 5 15 43 44 81 13 14 52 53 99 28 22 23 33 61 62 117 31 32 70 71 135 46 40 41 51 108 49 50 90 64 58 59 69 144 67 68 126 91 76 77 96 106 107 100 85 86 105 97 98 94 95 103 104 127 112 113 132 142 143 136 121 122 141 133 134 130 131 139 140:3 12 3 12 3 3 12 12 3 3 3 3,4 3 4 3 4 4 3 4 3 4 4 4 4 3 4 3 4 3 4 3> {(2, 60): 't1', (2, 61): 't1', (2, 62): 'tau3^-1', (0, 63): 't1', (1, 56): 't1', (0, 54): 't1', (1, 119): 'tau2^-1*t1*tau3', (0, 53): 't3^-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', (0, 8): 't3', (2, 140): 't2*tau1*t3^-1', (2, 141): 'tau3*t1*tau2^-1', (2, 142): 'tau3*t1*tau2^-1', (0, 140): 't2', (2, 132): 'tau3^-1*t1^-1*tau2', (0, 131): 't2^-1', (2, 135): 't2*tau1*t3^-1', (0, 135): 'tau3*t1*tau2^-1', (2, 131): 't2^-1*tau1^-1*t3', (2, 125): 'tau2^-1', (2, 126): 't2^-1*tau1^-1*t3', (0, 126): 'tau3^-1*t1^-1*tau2', (0, 113): 't3^-1', (1, 65): 't1', (2, 104): 'tau1', (2, 133): 'tau3^-1*t1^-1*tau2', (2, 95): 'tau1^-1', (2, 90): 'tau1^-1', (0, 86): 't3^-1', (2, 81): 'tau1^-1'}