U-tiling: UQC3879
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) |
|
G
|
False
|
|
sqc9130
|
|
I4122 |
98 |
tetragonal |
{4,3,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2516
|
|
P4222 |
93 |
tetragonal |
{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
<38.1:144:19 3 5 87 8 27 28 12 14 69 17 36 21 23 105 26 30 32 96 35 55 39 41 123 44 63 73 48 50 114 53 81 57 59 141 62 91 66 68 71 99 75 77 132 80 100 84 86 89 108 93 95 98 102 104 107 127 111 113 116 135 136 120 122 125 144 129 131 134 138 140 143,2 21 6 7 9 11 30 15 16 18 20 24 25 27 29 33 34 36 38 57 42 43 45 47 75 51 52 54 56 60 61 63 65 93 69 70 72 74 78 79 81 83 102 87 88 90 92 96 97 99 101 105 106 108 110 129 114 115 117 119 138 123 124 126 128 132 133 135 137 141 142 144,37 4 5 42 25 26 18 46 13 14 51 34 35 55 22 23 60 36 73 31 32 78 40 41 61 62 72 49 50 79 80 90 58 59 99 109 67 68 114 97 98 76 77 108 118 85 86 123 106 107 127 94 95 132 136 103 104 141 112 113 133 134 126 121 122 142 143 130 131 144 139 140:3 12 3 12 3 12 3 12 3 3 3 3,4 3 4 4 3 4 4 3 4 3 4 4 3 4 3 4 4 3 4 3> {(2, 62): 'tau2^-1', (0, 62): 'tau2^-1*t3^-1', (0, 63): 't3^-1*tau2^-1', (2, 53): 't2', (2, 107): 'tau3^-1', (1, 119): 't2^-1*tau3*t1', (0, 53): 't2*tau3^-1', (2, 44): 't3', (1, 110): 't3^-1*tau2^-1', (1, 101): 'tau3^-1*t2', (2, 33): 't1', (2, 34): 't1', (2, 35): 't1', (0, 26): 't1^-1', (0, 27): 't1', (1, 92): 'tau2*t3', (2, 27): 't1', (2, 32): 't1', (0, 23): 't1^-1', (2, 140): 't1^-1', (2, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 143): 'tau2^-1*t3^-1', (2, 133): 'tau2*t3', (2, 135): 't1^-1', (0, 135): 't1^-1*tau3^-1*t2', (2, 124): 't2^-1*tau3*t1', (2, 125): 'tau1', (0, 126): 'tau2*t3', (2, 123): 't2^-1*tau3*t1', (0, 116): 't2*tau3^-1*t1^-1', (2, 114): 't3^-1*tau2^-1', (0, 131): 't1', (2, 88): 't2^-1*tau3', (2, 97): 'tau2*t3', (1, 29): 't1', (0, 81): 't2^-1*tau3', (2, 69): 't3^-1*tau2^-1', (2, 105): 'tau3^-1*t2'}