U-tiling: UQC27
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc61 |
*2224 |
(1,3,2) |
{4} |
{4.8.8.4} |
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
|
|
sqc2201
|
pcb
|
Im-3m |
229 |
cubic |
{4} |
8 |
(1,2) |
|
G
|
False
|
|
sqc8132
|
|
I41/acd |
142 |
tetragonal |
{4} |
16 |
(1,3) |
|
D
|
False
|
|
sqc2183
|
|
P42/nnm |
134 |
tetragonal |
{4} |
8 |
(1,3) |
Topological data
| Vertex degrees | {4} |
| 2D vertex symbol | {4.8.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:128:9 18 19 48 13 22 23 56 26 27 60 34 35 72 25 64 33 76 84 41 94 95 80 100 49 110 111 68 118 119 104 57 66 67 126 127 88 69 78 79 86 87 81 90 91 85 102 103 97 106 107 101 114 115 113 112 117 108 122 123 121 125 128 124,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,5 3 8 7 13 11 16 15 29 19 32 37 23 40 41 27 44 31 49 35 52 39 43 53 47 56 51 55 69 59 72 77 63 80 73 67 76 71 75 79 101 83 104 97 87 100 105 91 108 109 95 112 99 103 107 111 121 115 124 125 119 128 123 127:4 8 4 8 8 8 4 4 4 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 51): 'tau3', (0, 60): 't3', (2, 111): 'tau1', (0, 112): 't3^-1', (2, 120): 'tau1^-1*t3', (0, 43): 'tau2^-1', (0, 121): 't2', (0, 96): 't2^-1', (2, 107): 'tau1^-1', (0, 123): 't2*tau3^-1*t1^-1*tau2', (2, 63): 't3', (2, 36): 't2^-1', (2, 72): 't2', (0, 59): 't1', (2, 28): 't3^-1', (0, 48): 't2', (2, 123): 'tau1^-1*t3', (2, 104): 'tau1^-1', (0, 122): 't2', (0, 50): 't2', (0, 127): 't2^-1*tau3*t1*tau2^-1', (0, 40): 't3', (0, 116): 't3', (2, 39): 't2^-1', (2, 108): 'tau1', (2, 75): 't2', (0, 35): 'tau3', (2, 31): 't3^-1', (0, 15): 't1^-1', (2, 127): 'tau1*t3^-1', (2, 124): 'tau1*t3^-1', (0, 27): 'tau2^-1', (0, 49): 't2', (2, 60): 't3', }