U-tiling: UQC1514
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc967 |
*2244 |
(2,4,4) |
{5,4} |
{4.3.12.3.4}{3.12.4.12} |
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
|
|
sqc9122
|
|
I-42d |
122 |
tetragonal |
{5,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc14638
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
8 |
(2,4) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.3.12.3.4}{3.12.4.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<84.1:144:73 11 12 6 7 26 27 82 15 16 35 36 91 38 39 24 25 100 47 48 33 34 109 42 43 62 63 118 51 52 71 72 127 65 66 60 61 136 69 70 83 84 78 79 98 99 87 88 107 108 110 111 96 97 119 120 105 106 114 115 134 135 123 124 143 144 137 138 132 133 141 142,2 4 59 15 8 18 11 13 68 17 20 22 32 42 26 45 29 31 51 35 54 38 40 50 44 47 49 53 56 58 69 62 72 65 67 71 74 76 131 87 80 90 83 85 140 89 92 94 104 114 98 117 101 103 123 107 126 110 112 122 116 119 121 125 128 130 141 134 144 137 139 143,55 3 5 7 9 64 12 14 16 18 28 21 23 25 27 30 32 34 36 46 39 41 43 45 48 50 52 54 57 59 61 63 66 68 70 72 127 75 77 79 81 136 84 86 88 90 100 93 95 97 99 102 104 106 108 118 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144:4 3 12 4 4 3 4 3 4 3 3 12 4 3 3 3,5 4 5 5 4 4 5 4 5 4 5 5 4 4 5 4> {(0, 62): 't3^-1', (0, 107): 'tau3^-1', (2, 135): 't3^-1*tau2^-1*t1', (1, 67): 't3^-1*tau2^-1*t1', (0, 34): 't1', (0, 133): 'tau1^-1', (0, 125): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 122): 't3*tau2*t1^-1', (0, 52): 't3*tau2*t3', (0, 97): 't2^-1', (0, 118): 't3*tau2*t1^-1', (0, 35): 't1', (1, 125): 't3*tau2*t1^-1', (0, 46): 't3*tau2*t1^-1', (1, 85): 't1^-1*tau2*t3', (0, 134): 'tau1^-1', (0, 53): 't3*tau2*t3', (1, 50): 't3*tau2*t1^-1', (2, 63): 't3^-1*tau2^-1*t1', (0, 98): 't2^-1', (0, 47): 't3*tau2*t1^-1', (0, 142): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 53): 't3*tau2*t1^-1', (0, 61): 't3^-1', (0, 119): 't3*tau2*t1^-1', (0, 106): 'tau3^-1', }