U-tiling: UQC4312
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1163 |
*2244 |
(4,4,2) |
{8,3,4,4} |
{3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6... |
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
|
|
sqc8345
|
|
P42/mmc |
131 |
tetragonal |
{7,3,4,4} |
16 |
(4,4) |
|
G
|
False
|
|
sqc8647
|
|
I-42d |
122 |
tetragonal |
{8,3,4,4} |
16 |
(4,5) |
|
D
|
False
|
|
sqc2374
|
|
P4/mmm |
123 |
tetragonal |
{3,4,8,4} |
8 |
(4,4) |
Topological data
| Vertex degrees | {8,3,4,4} |
| 2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<82.1:144:55 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 99 102 104 106 108 118 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144,2 57 6 8 25 27 11 66 15 17 34 36 20 30 24 26 29 33 35 38 48 42 44 61 63 47 51 53 70 72 56 60 62 65 69 71 74 129 78 80 97 99 83 138 87 89 106 108 92 102 96 98 101 105 107 110 120 114 116 133 135 119 123 125 142 144 128 132 134 137 141 143,73 4 5 15 16 62 63 82 13 14 71 72 91 22 23 42 43 35 36 100 31 32 51 52 109 40 41 53 54 118 49 50 127 58 59 69 70 136 67 68 76 77 87 88 134 135 85 86 143 144 94 95 114 115 107 108 103 104 123 124 112 113 125 126 121 122 130 131 141 142 139 140:3 6 3 6 3 3 6 6 3 6 3 6 3 3 6 6,8 3 4 4 3 8 3 8 3 8 3 4 4 3 3 3> {(1, 123): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 125): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 63): 't3^-1*tau2^-1*t1', (1, 114): 'tau1', (1, 116): 'tau1', (2, 50): 't3*tau2*t1^-1', (2, 51): 't3*tau2*t1^-1', (1, 105): 'tau3^-1', (1, 107): 'tau3^-1', (1, 96): 't2^-1', (1, 98): 't2^-1', (1, 83): 't1^-1*tau2*t3', (1, 62): 't3^-1', (2, 16): 't1^-1*tau2*t3', (2, 17): 't1^-1*tau2*t3', (2, 142): 't3^-1*tau2^-1*t1', (2, 143): 't3^-1*tau2^-1*t1', (1, 65): 't3^-1*tau2^-1*t1', (1, 69): 't3^-1*tau2^-1*t3^-1', (0, 135): 't3^-1*tau2^-1*t1', (1, 71): 't3^-1*tau2^-1*t3^-1', (1, 60): 't3^-1', (2, 122): 't3*tau2*t1^-1', (2, 123): 't3*tau2*t1^-1', (1, 33): 't1', (1, 35): 't1'}