U-tiling: UQC1232
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1050 |
*22222 |
(2,5,3) |
{12,3} |
{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3} |
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
|
True
|
|
sqc7423
|
|
P4/mmm |
123 |
tetragonal |
{10,3} |
12 |
(2,5) |
|
G
|
False
|
|
sqc8408
|
|
I4122 |
98 |
tetragonal |
{12,3} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2529
|
|
P4222 |
93 |
tetragonal |
{12,3} |
6 |
(2,5) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.5:144:19 4 5 42 43 44 90 28 13 14 51 52 53 72 22 23 60 61 62 108 31 32 78 79 80 99 55 40 41 126 73 49 50 117 58 59 144 91 67 68 114 115 116 76 77 135 100 85 86 123 124 125 94 95 132 133 134 103 104 141 142 143 127 112 113 136 121 122 130 131 139 140,2 7 22 6 9 11 16 31 15 18 20 25 24 27 29 34 33 36 38 43 58 42 45 47 52 76 51 54 56 61 60 63 65 70 94 69 72 74 79 78 81 83 88 103 87 90 92 97 96 99 101 106 105 108 110 115 130 114 117 119 124 139 123 126 128 133 132 135 137 142 141 144,10 3 5 24 8 27 12 14 33 17 36 28 21 23 26 30 32 35 64 39 41 60 44 63 82 48 50 78 53 81 91 57 59 62 66 68 96 71 99 100 75 77 80 84 86 105 89 108 93 95 98 102 104 107 118 111 113 132 116 135 120 122 141 125 144 136 129 131 134 138 140 143:3 4 4 3 4 4 4 4 4 4 3 3 3 4 3 4 4 4 3 3,12 3 3 12 3 12 3 3 3 12 3 3> {(2, 86): 't2^-1*tau3', (2, 27): 't1', (0, 134): 't1', (2, 53): 't2*tau3^-1', (2, 117): 'tau1', (0, 117): 't2^-1*tau3*t1', (0, 126): 'tau2*t3', (2, 45): 't2', (2, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 140): 't1^-1*tau3^-1*t2', (0, 32): 't1', (0, 140): 't1^-1', (2, 36): 't3', (1, 93): 'tau2*t3', (2, 131): 'tau2*t3', (0, 106): 't1', (1, 84): 't2^-1*tau3', (0, 26): 't1^-1', (2, 54): 'tau2^-1', (1, 120): 't2^-1*tau3*t1', (2, 32): 't1', (2, 26): 't1^-1', (2, 143): 'tau2^-1*t3^-1', (0, 63): 't3^-1*tau2^-1', (1, 30): 't1', (0, 33): 't1', (1, 111): 't3^-1*tau2^-1', (2, 134): 't1*tau3*t2^-1', (0, 141): 't1^-1', (0, 99): 'tau3^-1*t2', (2, 95): 'tau2*t3', (0, 79): 't1^-1', (2, 62): 'tau2^-1*t3^-1', (2, 99): 'tau3^-1', (0, 27): 't1', }