U-tiling: UQC3506
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc569 |
*2244 |
(3,3,2) |
{3,3,4} |
{10.8.10}{10.10.8}{10.10.10.10} |
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
|
|
sqc6967
|
|
P42/mmc |
131 |
tetragonal |
{3,3,4} |
18 |
(3,3) |
|
G
|
False
|
|
sqc6964
|
|
I-42d |
122 |
tetragonal |
{3,3,4} |
18 |
(3,4) |
|
D
|
False
|
|
sqc1440
|
|
P-42m |
111 |
tetragonal |
{3,3,4} |
9 |
(3,3) |
Topological data
| Vertex degrees | {3,3,4} |
| 2D vertex symbol | {10.8.10}{10.10.8}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<50.1:112:57 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 6 11 19 49 9 13 26 56 16 20 32 28 23 27 39 30 34 47 42 37 41 54 44 48 53 51 55 58 62 67 75 105 65 69 82 112 72 76 88 84 79 83 95 86 90 103 98 93 97 110 100 104 109 107 111,8 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 96 111 112 106 102 103 109 110:10 8 10 10 10 8,3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 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', (2, 47): 't3^-1', (1, 111): 't3^-1*tau2^-1*t1', (2, 35): 't3*tau2*t1^-1', (1, 88): 'tau1', (2, 26): 't1', (2, 27): 't1', (1, 81): 'tau3^-1', (1, 80): 't1*tau2^-1*t3^-1', (1, 74): 't2^-1', (1, 53): 't3^-1*tau2^-1*t3^-1', (1, 55): 't3^-1*tau2^-1*t1', (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', (1, 46): 't3^-1', (2, 103): 'tau1^-1', (1, 38): 't3*tau2*t1^-1', (1, 25): 't1', (1, 95): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 91): 't3*tau2*t1^-1', (2, 82): 'tau3^-1', (2, 69): 'tau3'}