U-tiling: UQC3887
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1105 |
*22222 |
(3,5,2) |
{4,3,4} |
{3.12.12.3}{3.12.12}{12.12.12.12} |
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
|
|
sqc8366
|
|
P4/mmm |
123 |
tetragonal |
{4,3,3} |
20 |
(3,5) |
|
G
|
False
|
|
sqc8825
|
|
I4122 |
98 |
tetragonal |
{4,3,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2514
|
|
P42/mmc |
131 |
tetragonal |
{3,4,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {3.12.12.3}{3.12.12}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.3:144:82 3 5 15 8 27 64 12 14 17 36 100 21 23 33 26 91 30 32 35 118 39 41 69 44 63 109 48 50 87 53 81 136 57 59 96 62 66 68 71 99 127 75 77 105 80 84 86 89 108 93 95 98 102 104 107 111 113 123 116 135 120 122 125 144 129 131 141 134 138 140 143,2 84 6 7 9 11 66 15 16 18 20 102 24 25 27 29 93 33 34 36 38 120 42 43 45 47 111 51 52 54 56 138 60 61 63 65 69 70 72 74 129 78 79 81 83 87 88 90 92 96 97 99 101 105 106 108 110 114 115 117 119 123 124 126 128 132 133 135 137 141 142 144,19 4 5 24 88 89 45 28 13 14 33 70 71 54 22 23 106 107 63 31 32 97 98 81 55 40 41 60 124 125 73 49 50 78 115 116 58 59 142 143 91 67 68 96 117 76 77 133 134 100 85 86 105 126 94 95 135 103 104 144 127 112 113 132 136 121 122 141 130 131 139 140:3 12 3 3 3 3 12 3 12 3 3 12,4 3 4 4 3 4 3 4 3 4 4 3 4 3 3 4 3 4 4 4> {(0, 59): 'tau2^-1', (2, 59): 'tau2^-1*t3^-1', (0, 50): 't2', (2, 54): 'tau2^-1*t3^-1', (2, 50): 't2*tau3^-1', (2, 45): 't2*tau3^-1', (0, 41): 't3', (0, 35): 't1', (0, 32): 't1', (1, 101): 't1', (2, 35): 't1', (2, 24): 't1^-1', (2, 25): 't1^-1', (0, 18): 't1^-1', (2, 23): 't1^-1', (2, 18): 't1^-1', (2, 140): 'tau2^-1*t3^-1', (1, 74): 't1^-1', (0, 143): 't1^-1*tau3^-1*t2', (0, 140): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 132): 't1', (2, 133): 't1', (2, 135): 'tau2^-1*t3^-1', (2, 131): 't1*tau3*t2^-1', (0, 122): 'tau1', (2, 126): 't1*tau3*t2^-1', (0, 126): 't1', (0, 116): 't3^-1*tau2^-1', (0, 107): 'tau3^-1*t2', (0, 104): 'tau3^-1', (2, 107): 't1', (0, 98): 'tau2*t3'}