U-tiling: UQC4107
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1198 |
*2244 |
(3,4,2) |
{4,12,4} |
{12.3.3.12}{12.3.3.12.3.3.12.3.3... |
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
|
|
sqc2646
|
|
P4/mmm |
123 |
tetragonal |
{4,4,12} |
7 |
(3,4) |
|
G
|
False
|
|
sqc8946
|
|
I41/a |
88 |
tetragonal |
{4,12,4} |
14 |
(3,5) |
|
D
|
False
|
|
sqc8947
|
|
I41/amd |
141 |
tetragonal |
{4,12,4} |
14 |
(3,4) |
Topological data
| Vertex degrees | {4,12,4} |
| 2D vertex symbol | {12.3.3.12}{12.3.3.12.3.3.12.3.3.12.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.1:144:55 3 5 7 9 64 12 14 16 18 73 21 23 25 27 91 30 32 34 36 100 39 41 43 45 82 48 50 52 54 57 59 61 63 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 136 111 113 115 117 127 120 122 124 126 129 131 133 135 138 140 142 144,2 21 6 9 8 11 30 15 18 17 20 24 27 26 29 33 36 35 38 120 42 45 44 47 138 51 54 53 56 84 60 63 62 65 102 69 72 71 74 111 78 81 80 83 87 90 89 92 129 96 99 98 101 105 108 107 110 114 117 116 119 123 126 125 128 132 135 134 137 141 144 143,10 4 5 15 16 62 63 13 14 71 72 37 22 23 42 43 80 81 46 31 32 51 52 98 99 40 41 107 108 49 50 89 90 64 58 59 69 70 67 68 100 76 77 105 106 91 85 86 96 97 94 95 103 104 127 112 113 132 133 143 144 136 121 122 141 142 134 135 130 131 139 140:12 3 12 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,4 12 4 12 4 4 4 4 4 4 4 4 4 4> {(2, 61): 't1', (2, 62): 't1', (2, 52): 't2^-1*tau3', (2, 53): 't2^-1*tau3', (2, 50): 't2^-1', (2, 51): 't2^-1', (2, 44): 't3^-1*tau2^-1', (2, 45): 't2^-1', (2, 41): 't3^-1', (2, 42): 't3^-1', (2, 43): 't3^-1*tau2^-1', (2, 36): 't3^-1', (2, 34): 'tau3*t2^-1', (2, 35): 'tau3*t2^-1', (2, 25): 'tau2^-1*t3^-1', (2, 26): 'tau2^-1*t3^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 140): 'tau1', (2, 141): 'tau1', (2, 142): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 143): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 132): 'tau1^-1', (2, 133): 't2*tau3^-1*t1^-1*tau2*t3', (2, 134): 't2*tau3^-1*t1^-1*tau2*t3', (2, 131): 'tau1^-1', (2, 126): 'tau1^-1', (2, 117): 'tau1^-1', (2, 104): 't3^-1', (2, 105): 't3^-1', (2, 96): 't2', (2, 99): 't3^-1', (2, 95): 't2', (2, 90): 't2'}