U-tiling: UQC3201
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc595 |
*488 |
(2,4,4) |
{5,3} |
{8.8.4.4.8}{4.8.4} |
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
|
|
sqc7695
|
|
P-4m2 |
115 |
tetragonal |
{3,5} |
16 |
(2,7) |
|
G
|
False
|
|
sqc7694
|
|
I-4 |
82 |
tetragonal |
{3,3,5,5} |
16 |
(4,8) |
|
D
|
False
|
|
sqc7843
|
|
I-4m2 |
119 |
tetragonal |
{3,5} |
16 |
(2,7) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {8.4.4.8.8}{4.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:128:17 18 35 36 7 8 41 42 107 108 45 46 31 32 51 52 23 24 57 58 123 124 61 62 65 66 39 40 59 60 79 80 81 82 55 56 95 96 99 100 71 72 105 106 91 92 109 110 115 116 87 88 121 122 125 126 113 114 103 104 127 128 119 120,3 6 5 9 16 11 13 15 19 22 21 25 32 27 29 31 35 38 37 41 48 43 45 47 51 54 53 57 64 59 61 63 67 70 69 73 80 75 77 79 83 86 85 89 96 91 93 95 99 102 101 105 112 107 109 111 115 118 117 121 128 123 125 127,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:8 4 4 8 8 8 4 4 4 4 4 4,3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5> {(0, 51): 't1', (0, 124): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 62): 't1*tau2^-1*t3^-1', (0, 45): 't2^-1', (0, 121): 't3^-1*tau2^-1*t3^-1', (0, 26): 't1^-1*tau2*t3', (0, 48): 't1*tau2^-1*t3^-1', (0, 125): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 114): 't3^-1*tau2^-1*t3^-1', (0, 63): 't1*tau2^-1*t3^-1', (0, 104): 't3^-1', (0, 108): 'tau1^-1', (0, 56): 't1', (0, 27): 't1^-1*tau2*t3', (0, 49): 't1*tau2^-1*t3^-1', (0, 115): 't3^-1*tau2^-1*t3^-1', (0, 60): 'tau3^-1', (0, 105): 't3^-1', (0, 109): 'tau1^-1', (0, 57): 't1', (0, 98): 't3^-1', (0, 61): 'tau3^-1', (0, 50): 't1', (0, 99): 't3^-1', (0, 44): 't2^-1', (0, 120): 't3^-1*tau2^-1*t3^-1', }