U-tiling: UQC670
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc446 |
*2244 |
(2,3,3) |
{4,3} |
{4.16.4.16}{16.16.4} |
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) |
|
G
|
False
|
|
sqc6941
|
|
I-42d |
122 |
tetragonal |
{3,4} |
16 |
(2,4) |
|
D
|
False
|
|
sqc1429
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
8 |
(2,3) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.16.4.16}{16.16.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.1:112:8 4 5 20 21 11 12 27 28 29 18 19 36 25 26 32 33 48 49 39 40 55 56 50 46 47 53 54 64 60 61 76 77 67 68 83 84 85 74 75 92 81 82 88 89 104 105 95 96 111 112 106 102 103 109 110,2 59 6 47 49 9 66 13 54 56 16 73 20 26 28 23 80 27 30 87 34 40 42 37 94 41 44 101 48 51 108 55 58 62 103 105 65 69 110 112 72 76 82 84 79 83 86 90 96 98 93 97 100 104 107 111,57 3 5 7 64 10 12 14 71 17 19 21 78 24 26 28 85 31 33 35 92 38 40 42 99 45 47 49 106 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112:16 4 4 4 4 4 16 4,3 4 3 4 3 4 3 3 4 3 3 3 4 4 4 4> {(0, 103): 'tau1^-1', (1, 53): 't3^-1*tau2^-1*t1', (0, 61): 't2', (1, 67): 't1^-1*tau2*t3', (0, 104): 'tau1^-1', (0, 48): 't3^-1', (0, 91): 't3*tau2*t1^-1', (0, 62): 't2', (1, 111): 't3^-1*tau2^-1*t1', (0, 55): 't3^-1*tau2^-1*t3^-1', (0, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 54): 't3^-1*tau2^-1*t3^-1', (0, 35): 't3*tau2*t1^-1', (1, 55): 't3^-1*tau2^-1*t1', (0, 82): 'tau3^-1', (0, 47): 't3^-1', (0, 83): 'tau3^-1', (0, 110): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 27): 't1', (0, 26): 't1', }