U-tiling: UQC1475
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc943 |
*2244 |
(2,4,4) |
{6,3} |
{4.8.3.6.3.8}{3.6.6} |
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
|
|
sqc8667
|
|
I-42d |
122 |
tetragonal |
{3,6} |
16 |
(2,5) |
|
D
|
False
|
|
sqc14636
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
8 |
(2,4) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.3.6.3.8}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<74.1:144:73 4 5 60 61 26 27 82 13 14 69 70 35 36 91 22 23 33 34 100 31 32 109 40 41 51 52 62 63 118 49 50 71 72 127 58 59 136 67 68 76 77 132 133 98 99 85 86 141 142 107 108 94 95 105 106 103 104 112 113 123 124 134 135 121 122 143 144 130 131 139 140,2 57 13 6 8 18 11 66 15 17 20 30 40 24 26 45 29 49 33 35 54 38 48 42 44 47 51 53 56 67 60 62 72 65 69 71 74 129 85 78 80 90 83 138 87 89 92 102 112 96 98 117 101 121 105 107 126 110 120 114 116 119 123 125 128 139 132 134 144 137 141 143,55 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 99 102 104 106 108 118 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144:6 3 8 4 3 6 3 6 3 6 3 8 4 3 3 3,3 6 3 3 6 6 3 6 3 6 3 3 6 6 3 6> {(0, 124): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 48): 't3*tau2*t1^-1', (0, 62): 't3^-1', (0, 107): 'tau3^-1', (2, 135): 't3^-1*tau2^-1*t1', (1, 83): 't1^-1*tau2*t3', (0, 140): 't3^-1*tau2^-1*t1', (0, 34): 't1', (0, 133): 'tau1^-1', (0, 52): 't3*tau2*t3', (0, 35): 't1', (0, 79): 't2', (1, 125): 't3*tau2*t1^-1', (0, 134): 'tau1^-1', (0, 53): 't3*tau2*t3', (1, 120): 't3*tau2*t1^-1', (0, 15): 't1^-1*tau2*t3', (2, 63): 't3^-1*tau2^-1*t1', (0, 98): 't2^-1', (0, 14): 't1^-1*tau2*t3', (1, 53): 't3*tau2*t1^-1', (0, 61): 't3^-1', (0, 106): 'tau3^-1', (0, 87): 't1^-1*tau2*t3', (0, 143): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 65): 't3^-1*tau2^-1*t1', }