U-tiling: UQC4284
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1145 |
*2244 |
(4,4,2) |
{12,3,4,4} |
{3.6.3.3.6.3.3.6.3.3.6.3}{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) |
|
P
|
True
|
|
sqc8334
|
|
P42/mmc |
131 |
tetragonal |
{10,3,4,4} |
16 |
(4,4) |
|
G
|
False
|
|
sqc8486
|
|
I-42d |
122 |
tetragonal |
{12,3,4,4} |
16 |
(4,5) |
|
D
|
False
|
|
sqc2328
|
|
P4/mmm |
123 |
tetragonal |
{4,3,4,12} |
8 |
(4,4) |
Topological data
| Vertex degrees | {12,3,4,4} |
| 2D vertex symbol | {3.6.3.3.6.3.3.6.3.3.6.3}{3.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<75.1:144:73 3 5 7 9 82 12 14 16 18 91 21 23 25 27 100 30 32 34 36 109 39 41 43 45 118 48 50 52 54 127 57 59 61 63 136 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144,2 75 22 6 8 27 11 84 31 15 17 36 20 93 24 26 29 102 33 35 38 111 58 42 44 63 47 120 67 51 53 72 56 129 60 62 65 138 69 71 74 94 78 80 99 83 103 87 89 108 92 96 98 101 105 107 110 130 114 116 135 119 139 123 125 144 128 132 134 137 141 143,10 4 5 78 79 62 63 13 14 87 88 71 72 37 22 23 96 97 35 36 46 31 32 105 106 40 41 114 115 53 54 49 50 123 124 64 58 59 132 133 67 68 141 142 82 76 77 134 135 85 86 143 144 109 94 95 107 108 118 103 104 112 113 125 126 121 122 136 130 131 139 140:3 6 3 6 3 3 3 6 3 6 3 3 6 6 6 6,12 3 4 4 3 4 3 4 3 3 4 3 3 3 12 4> {(1, 57): 't3^-1', (1, 120): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 66): 't3^-1*tau2^-1*t3^-1', (1, 125): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 62): 't3^-1', (2, 117): 't3*tau2*t1^-1', (1, 30): 't1', (2, 16): 't1^-1*tau2*t3', (1, 116): 'tau1', (2, 143): 't3^-1*tau2^-1*t1', (2, 17): 't1^-1*tau2*t3', (2, 45): 't3*tau2*t1^-1', (1, 107): 'tau3^-1', (2, 142): 't3^-1*tau2^-1*t1', (1, 111): 'tau1', (1, 93): 't2^-1', (1, 35): 't1', (1, 98): 't2^-1', (1, 71): 't3^-1*tau2^-1*t3^-1', (1, 102): 'tau3^-1'}