U-tiling: UQC684
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc573 |
*22222 |
(2,5,3) |
{6,4} |
{4.4.4.4.4.4}{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
|
True
|
|
sqc5941
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7566
|
|
I4122 |
98 |
tetragonal |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1908
|
|
P4222 |
93 |
tetragonal |
{4,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.3:128:17 3 20 21 14 15 24 25 11 28 29 32 19 30 31 27 49 35 52 53 62 63 56 65 43 68 69 78 79 72 51 86 87 81 59 84 85 88 67 94 95 89 75 92 93 96 83 91 113 99 116 117 110 111 120 121 107 124 125 128 115 126 127 123,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,73 34 35 5 7 40 57 42 43 13 15 48 89 50 51 21 23 56 81 66 67 29 31 72 105 37 39 97 45 47 121 53 55 98 99 61 63 104 113 69 71 106 107 77 79 112 114 115 85 87 120 122 123 93 95 128 101 103 109 111 117 119 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 4 6 4 6 6 6 6 6> {(0, 93): 'tau3^-1', (0, 16): 't1^-1', (0, 29): 't1', (0, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 51): 'tau2^-1*t3^-1', (0, 124): 'tau2^-1*t3^-1', (0, 112): 't1*tau3*t2^-1', (2, 25): 't1', (0, 53): 'tau2^-1', (0, 62): 't3^-1', (0, 43): 't2*tau3^-1', (0, 20): 't1^-1', (0, 116): 't1*tau3*t2^-1', (2, 112): 't1', (0, 79): 't2^-1*tau3', (0, 45): 't2', (0, 22): 't1^-1', (0, 110): 'tau1', (2, 127): 't1^-1', (0, 120): 'tau2^-1*t3^-1', (0, 119): 'tau2*t3', (0, 115): 't1*tau3*t2^-1', (2, 16): 't1^-1', (0, 123): 'tau2^-1*t3^-1', (2, 122): 't1^-1', (0, 48): 'tau2^-1*t3^-1', (0, 61): 't3^-1', (0, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 19): 't1^-1', (2, 26): 't1', (0, 63): 't3^-1*tau2^-1', (0, 40): 't2*tau3^-1', (0, 94): 'tau3^-1', (0, 52): 'tau2^-1*t3^-1', (0, 127): 't1^-1*tau3^-1*t2', (0, 54): 'tau2^-1', (0, 44): 't2*tau3^-1', (2, 31): 't1', (0, 15): 't1^-1', (2, 121): 't1^-1', (0, 101): 'tau1^-1', (0, 46): 't2', }