U-tiling: UQC3897
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc51 |
*2223 |
(2,2,1) |
{4,3} |
{6.6.6.6}{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
|
False
|
|
sqc9150
|
|
P4/mmm |
123 |
tetragonal |
{4,3,4} |
20 |
(3,5) |
|
G
|
False
|
|
sqc9157
|
|
I4122 |
98 |
tetragonal |
{4,3,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2517
|
|
P4222 |
93 |
tetragonal |
{3,4,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.2:144:37 3 5 24 8 27 46 12 14 33 17 36 55 21 23 26 73 30 32 35 39 41 60 44 63 48 50 78 53 81 57 59 62 109 66 68 96 71 99 75 77 80 118 84 86 105 89 108 127 93 95 98 136 102 104 107 111 113 132 116 135 120 122 141 125 144 129 131 134 138 140 143,2 21 6 7 9 11 30 15 16 18 20 24 25 27 29 33 34 36 38 57 42 43 45 47 75 51 52 54 56 60 61 63 65 93 69 70 72 74 78 79 81 83 102 87 88 90 92 96 97 99 101 105 106 108 110 129 114 115 117 119 138 123 124 126 128 132 133 135 137 141 142 144,82 4 5 87 25 26 18 64 13 14 69 34 35 100 22 23 105 36 91 31 32 96 118 40 41 123 61 62 72 109 49 50 114 79 80 90 136 58 59 141 99 67 68 97 98 127 76 77 132 108 85 86 106 107 94 95 103 104 112 113 133 134 126 121 122 142 143 130 131 144 139 140:6 6 6 6 6 6 6 6 6 6 6 6,4 3 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 3 4 3> {(0, 59): 'tau2^-1*t3^-1', (2, 62): 'tau2^-1', (0, 62): 'tau2^-1*t3^-1', (0, 50): 't2*tau3^-1', (2, 53): 't2', (1, 119): 't2^-1*tau3*t1', (0, 53): 't2*tau3^-1', (2, 44): 't3', (1, 110): 't3^-1*tau2^-1', (1, 101): 'tau3^-1*t2', (2, 33): 't1', (2, 34): 't1', (2, 35): 't1', (0, 26): 't1^-1', (0, 27): 't1', (1, 92): 'tau2*t3', (2, 23): 't1^-1', (0, 23): 't1^-1', (2, 18): 't1^-1', (2, 141): 't1^-1*tau3^-1*t2', (2, 142): 't1^-1*tau3^-1*t2', (2, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 143): 'tau2^-1*t3^-1', (0, 140): 'tau2^-1*t3^-1', (0, 131): 't1*tau3*t2^-1', (0, 134): 't1*tau3*t2^-1', (2, 125): 'tau1', (2, 126): 't1', (2, 114): 't3^-1*tau2^-1', (2, 115): 't3^-1*tau2^-1', (2, 106): 'tau3^-1*t2', (2, 107): 'tau3^-1', (0, 99): 't1', (2, 96): 'tau2*t3', (2, 97): 'tau2*t3', (1, 29): 't1', (2, 87): 't2^-1*tau3', (2, 77): 't1^-1'}