U-tiling: UQC4084
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1188 |
*22222 |
(3,4,2) |
{8,6,4} |
{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{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) |
|
G
|
False
|
|
sqc8433
|
|
I4122 |
98 |
tetragonal |
{8,6,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc2397
|
|
P4222 |
93 |
tetragonal |
{6,4,8} |
6 |
(3,4) |
Topological data
| Vertex degrees | {8,6,4} |
| 2D vertex symbol | {6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.4:144:19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 73 48 50 52 54 57 59 61 63 91 66 68 70 72 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 84 6 9 8 11 66 15 18 17 20 102 24 27 26 29 93 33 36 35 38 120 42 45 44 47 111 51 54 53 56 138 60 63 62 65 69 72 71 74 129 78 81 80 83 87 90 89 92 96 99 98 101 105 108 107 110 114 117 116 119 123 126 125 128 132 135 134 137 141 144 143,10 4 5 24 25 44 45 13 14 33 34 53 54 28 22 23 62 63 31 32 80 81 64 40 41 60 61 82 49 50 78 79 91 58 59 67 68 96 97 116 117 100 76 77 85 86 105 106 125 126 94 95 134 135 103 104 143 144 118 112 113 132 133 121 122 141 142 136 130 131 139 140:6 3 6 3 3 3 6 3 6 3 3 3 3 3 3 3 3 3 3 3,8 6 4 6 4 6 6 8 8 4 4 8> {(2, 63): 't3^-1', (2, 54): 'tau2^-1', (0, 54): 'tau2^-1*t3^-1', (2, 45): 't2', (2, 15): 't1^-1', (0, 45): 't2*tau3^-1', (2, 32): 't1', (2, 34): 't1', (2, 35): 't1', (2, 27): 't1', (0, 18): 't1^-1', (2, 140): 't1^-1*tau3^-1*t2', (2, 141): 't1^-1*tau3^-1*t2', (2, 142): 't1^-1', (1, 74): 't1^-1', (2, 132): 'tau2*t3', (2, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 135): 'tau2^-1*t3^-1', (2, 131): 'tau2*t3', (2, 117): 'tau1', (2, 104): 'tau3^-1*t2', (2, 105): 'tau3^-1*t2', (0, 108): 't2*tau3^-1*t1^-1', (2, 107): 't1', (2, 99): 'tau3^-1', (2, 95): 'tau2*t3', (1, 20): 't1^-1', (2, 69): 't3^-1*tau2^-1'}