U-tiling: UQC3397
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc509 |
*2244 |
(3,3,2) |
{3,12,4} |
{6.4.6}{6.4.4.6.4.4.6.4.4.6.4.4}... |
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) |
|
G
|
False
|
|
sqc6370
|
|
I-42d |
122 |
tetragonal |
{3,12,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc14629
|
|
P-42m |
111 |
tetragonal |
{3,12,4} |
6 |
(3,3) |
Topological data
| Vertex degrees | {3,12,4} |
| 2D vertex symbol | {6.4.6}{6.4.4.6.4.4.6.4.4.6.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<37.1:112:57 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 98 101 103 105 108 110 112,2 45 11 6 14 9 52 13 16 24 32 20 35 23 39 27 42 30 38 34 37 41 44 53 48 56 51 55 58 101 67 62 70 65 108 69 72 80 88 76 91 79 95 83 98 86 94 90 93 97 100 109 104 112 107 111,8 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 96 111 112 106 102 103 109 110:6 4 6 6 4 4 6 4 4 4 4 4,3 12 4 3 3 3 3 12 4 3 3 3> {(2, 61): 't2', (2, 62): 't2', (2, 54): 't3^-1*tau2^-1*t3^-1', (2, 55): 't3^-1*tau2^-1*t3^-1', (2, 48): 't3^-1', (1, 107): 't3^-1*tau2^-1*t1', (2, 47): 't3^-1', (1, 97): 't3*tau2*t1^-1', (2, 35): 't3*tau2*t1^-1', (2, 26): 't1', (2, 27): 't1', (1, 80): 't1*tau2^-1*t3^-1', (1, 41): 't3*tau2*t1^-1', (2, 110): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 104): 'tau1^-1', (2, 103): 'tau1^-1', (1, 38): 't3*tau2*t1^-1', (2, 91): 't3*tau2*t1^-1', (2, 82): 'tau3^-1', (2, 83): 'tau3^-1', (1, 9): 't1^-1*tau2*t3'}