U-tiling: UQC1046
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc987 |
*22222 |
(2,5,3) |
{6,3} |
{4.3.8.8.3.4}{3.8.8} |
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
|
|
sqc2468
|
|
P4/mmm |
123 |
tetragonal |
{6,3} |
8 |
(2,4) |
|
G
|
False
|
|
sqc8686
|
|
I4122 |
98 |
tetragonal |
{3,6} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2965
|
|
P4222 |
93 |
tetragonal |
{6,3} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.3.8.8.3.4}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<37.2:144:82 4 5 24 43 44 27 64 13 14 33 52 53 36 100 22 23 61 62 91 31 32 79 80 118 40 41 60 63 109 49 50 78 81 136 58 59 67 68 96 115 116 99 127 76 77 85 86 105 124 125 108 94 95 133 134 103 104 142 143 112 113 132 135 121 122 141 144 130 131 139 140,2 39 6 7 9 11 48 15 16 18 20 57 24 25 27 29 75 33 34 36 38 42 43 45 47 51 52 54 56 60 61 63 65 111 69 70 72 74 78 79 81 83 120 87 88 90 92 129 96 97 99 101 138 105 106 108 110 114 115 117 119 123 124 126 128 132 133 135 137 141 142 144,37 3 5 15 8 18 46 12 14 17 55 21 23 33 26 36 73 30 32 35 39 41 69 44 72 48 50 87 53 90 57 59 96 62 99 109 66 68 71 75 77 105 80 108 118 84 86 89 127 93 95 98 136 102 104 107 111 113 123 116 126 120 122 125 129 131 141 134 144 138 140 143:8 3 4 8 3 4 3 3 8 8 3 4 3 4 3 3,3 6 3 3 6 3 6 6 6 3 6 3 3 3 6 6> {(2, 27): 't1', (0, 134): 'tau2*t3', (2, 53): 't2', (2, 122): 'tau1', (0, 18): 't1^-1', (0, 126): 't1', (2, 135): 't1^-1', (2, 140): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 101): 't1', (2, 107): 'tau3^-1', (0, 131): 't1*tau3*t2^-1', (0, 140): 'tau2^-1*t3^-1', (0, 98): 'tau2*t3', (0, 34): 't1', (2, 41): 't3', (1, 29): 't1', (0, 142): 't1^-1', (0, 59): 'tau2^-1*t3^-1', (0, 17): 't1^-1', (2, 59): 'tau2^-1', (2, 32): 't1', (2, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 50): 't2*tau3^-1', (2, 125): 'tau1', (2, 50): 't2', (0, 33): 't1', (2, 44): 't3', (0, 23): 't1^-1', (0, 141): 't1^-1', (0, 89): 't2^-1*tau3', (0, 143): 't1^-1*tau3^-1*t2', (2, 62): 'tau2^-1', (2, 35): 't1', (2, 104): 'tau3^-1', }