U-tiling: UQC4331
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1213 |
*2244 |
(4,4,2) |
{8,3,6,4} |
{5.5.5.5.5.5.5.5}{5.4.5}{5.4.4.5... |
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
|
|
sqc8333
|
|
P42/mmc |
131 |
tetragonal |
{6,3,6,4} |
16 |
(4,4) |
|
G
|
False
|
|
sqc8505
|
|
I-42d |
122 |
tetragonal |
{8,3,6,4} |
16 |
(4,5) |
|
D
|
False
|
|
sqc2343
|
|
P-42m |
111 |
tetragonal |
{8,3,6,4} |
8 |
(4,4) |
Topological data
| Vertex degrees | {8,3,6,4} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5}{5.4.5}{5.4.4.5.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<86.1:144:73 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 4 77 24 8 27 11 13 86 33 17 36 20 22 95 26 29 31 104 35 38 40 113 60 44 63 47 49 122 69 53 72 56 58 131 62 65 67 140 71 74 76 96 80 99 83 85 105 89 108 92 94 98 101 103 107 110 112 132 116 135 119 121 141 125 144 128 130 134 137 139 143,10 20 21 6 7 62 63 29 30 15 16 71 72 37 24 25 35 36 46 33 34 56 57 42 43 53 54 65 66 51 52 64 60 61 69 70 82 92 93 78 79 134 135 101 102 87 88 143 144 109 96 97 107 108 118 105 106 128 129 114 115 125 126 137 138 123 124 136 132 133 141 142:5 4 5 4 5 5 5 4 5 4 5 5 4 4 4 4,8 3 6 4 3 6 6 3 6 3 8 3 4 3 3 3> {(1, 122): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 125): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 113): 'tau1', (2, 55): 't3^-1', (1, 116): 'tau1', (2, 45): 't3*tau2*t1^-1', (1, 107): 'tau3^-1', (2, 47): 't3*tau2*t3', (2, 101): 'tau3^-1', (2, 56): 't3^-1', (1, 98): 't2^-1', (2, 29): 't1', (1, 95): 't2^-1', (2, 16): 't1^-1*tau2*t3', (2, 17): 't1^-1*tau2*t3', (1, 86): 'tau3', (2, 142): 't3^-1*tau2^-1*t1', (2, 143): 't3^-1*tau2^-1*t1', (2, 136): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 137): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 10): 't1^-1', (2, 128): 'tau1^-1', (1, 68): 't3^-1*tau2^-1*t3^-1', (1, 71): 't3^-1*tau2^-1*t3^-1', (1, 59): 't3^-1', (1, 62): 't3^-1', (2, 117): 't3*tau2*t1^-1', (2, 109): 'tau1', (2, 100): 'tau3^-1', (1, 32): 't1', (1, 35): 't1', (2, 46): 't3*tau2*t3', (2, 73): 't2', (2, 74): 't2'}