U-tiling: UQC219
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc210 |
*2323 |
(2,4,2) |
{4,6} |
{6.4.4.6}{4.4.4.4.4.4} |
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
|
|
sqc9030
|
|
P4232 |
208 |
cubic |
{4,6} |
16 |
(2,4) |
|
G
|
False
|
|
sqc9015
|
|
I213 |
199 |
cubic |
{4,6} |
16 |
(2,4) |
|
D
|
False
|
|
sqc8985
|
|
F-43m |
216 |
cubic |
{4,6} |
16 |
(2,4) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {6.4.4.6}{4.4.4.4.4.4} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.1:144:19 44 45 5 48 31 92 93 11 96 73 68 69 17 72 86 87 23 90 109 122 123 29 126 110 111 35 114 127 116 117 41 120 61 47 85 62 63 53 66 97 134 135 59 138 65 115 71 128 129 77 132 133 104 105 83 108 89 121 95 140 141 101 144 139 107 113 119 125 131 137 143,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144,7 3 10 11 18 9 42 25 15 28 29 31 21 34 35 84 27 54 33 102 49 39 52 53 55 45 58 59 72 51 57 132 97 63 100 101 126 103 69 106 107 109 75 112 113 138 121 81 124 125 127 87 130 131 108 133 93 136 137 120 99 105 111 144 139 117 142 143 123 129 135 141:6 4 6 4 6 4 4 4 4 4 4 6 4 4 4 4,4 6 4 4 6 4 4 6 4 4 4 6 4 4 4 4> {(0, 59): 't2^-1', (0, 56): 't2^-1', (2, 57): 'tau3^-1', (0, 60): 't1', (2, 54): 'tau3^-1', (0, 109): 't3^-1', (0, 54): 'tau3^-1*t1^-1', (0, 55): 't2^-1', (2, 46): 'tau3', (0, 35): 't3', (0, 32): 't3', (2, 35): 'tau2^-1', (0, 19): 't1^-1', (0, 23): 't1^-1', (0, 20): 't1^-1', (0, 138): 't2^-1', (0, 139): 'tau1*t3^-1*tau2^-1', (2, 136): 'tau1^-1', (0, 143): 'tau1*t3^-1*tau2^-1', (0, 140): 'tau1*t3^-1*tau2^-1', (2, 132): 'tau1^-1', (0, 131): 't2^-1', (0, 128): 't2^-1', (2, 135): 'tau1^-1', (0, 132): 'tau1^-1*t3*tau2', (0, 120): 't3^-1', (2, 120): 'tau2', (0, 127): 't2^-1', (2, 123): 'tau2', (0, 114): 't2^-1', (2, 113): 'tau1^-1', (0, 107): 'tau3*t1', (0, 104): 'tau3*t1', (2, 107): 'tau3', (0, 103): 'tau3*t1', (2, 82): 'tau2^-1'}