U-tiling: UQC4093
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1188 |
*22222 |
(3,4,2) |
{8,6,4} |
{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{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
|
True
|
|
sqc8297
|
|
P4/mmm |
123 |
tetragonal |
{7,6,4} |
12 |
(3,4) |
|
G
|
False
|
|
sqc8605
|
|
I4122 |
98 |
tetragonal |
{8,6,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc2398
|
|
P4222 |
93 |
tetragonal |
{8,4,6} |
6 |
(3,4) |
Topological data
| Vertex degrees | {8,6,4} |
| 2D vertex symbol | {6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.2:144:37 3 5 7 9 46 12 14 16 18 55 21 23 25 27 73 30 32 34 36 39 41 43 45 48 50 52 54 57 59 61 63 109 66 68 70 72 75 77 79 81 118 84 86 88 90 127 93 95 97 99 136 102 104 106 108 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144,2 21 6 9 8 11 30 15 18 17 20 24 27 26 29 33 36 35 38 57 42 45 44 47 75 51 54 53 56 60 63 62 65 93 69 72 71 74 78 81 80 83 102 87 90 89 92 96 99 98 101 105 108 107 110 129 114 117 116 119 138 123 126 125 128 132 135 134 137 141 144 143,82 4 5 24 25 17 18 64 13 14 33 34 100 22 23 35 36 91 31 32 118 40 41 60 61 71 72 109 49 50 78 79 89 90 136 58 59 98 99 67 68 96 97 127 76 77 107 108 85 86 105 106 94 95 103 104 112 113 132 133 125 126 121 122 141 142 130 131 143 144 139 140:6 3 6 3 3 3 3 3 3 6 3 3 6 3 3 3 3 3 3 3,8 6 4 8 8 6 4 8 6 4 6 4> {(2, 60): 'tau2^-1*t3^-1', (2, 61): 'tau2^-1', (2, 62): 'tau2^-1', (2, 59): 'tau2^-1*t3^-1', (2, 52): 't2', (2, 53): 't2', (1, 110): 't3^-1*tau2^-1', (2, 50): 't2*tau3^-1', (2, 51): 't2*tau3^-1', (2, 44): 't3', (2, 43): 't3', (1, 101): 'tau3^-1*t2', (2, 34): 't1', (2, 35): 't1', (0, 27): 't1', (2, 24): 't1^-1', (1, 92): 'tau2*t3', (2, 23): 't1^-1', (2, 18): 't1^-1', (2, 140): 'tau2^-1*t3^-1', (2, 141): 'tau2^-1*t3^-1', (2, 142): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 135): 't1^-1', (2, 131): 't1*tau3*t2^-1', (2, 124): 'tau1', (2, 125): 'tau1', (2, 126): 't1', (2, 114): 't2*tau3^-1*t1^-1', (1, 119): 't2^-1*tau3*t1', (2, 106): 'tau3^-1', (1, 29): 't1', (2, 80): 'tau3'}