U-tiling: UQC3425
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc528 |
*2244 |
(3,3,2) |
{8,8,4} |
{3.4.4.3.3.4.4.3}{3.4.3.4.3.4.3.... |
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
|
|
sqc5787
|
|
P42/mmc |
131 |
tetragonal |
{7,8,4} |
8 |
(3,3) |
|
G
|
False
|
|
sqc6409
|
|
I-42d |
122 |
tetragonal |
{8,8,4} |
8 |
(3,4) |
|
D
|
False
|
|
sqc1166
|
|
P4/mmm |
123 |
tetragonal |
{8,4,8} |
4 |
(3,3) |
Topological data
| Vertex degrees | {8,8,4} |
| 2D vertex symbol | {3.4.4.3.3.4.4.3}{3.4.3.4.3.4.3.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.1:112:43 3 5 7 50 10 12 14 22 17 19 21 24 26 28 36 31 33 35 38 40 42 45 47 49 52 54 56 99 59 61 63 106 66 68 70 78 73 75 77 80 82 84 92 87 89 91 94 96 98 101 103 105 108 110 112,2 45 6 19 21 9 52 13 26 28 16 24 20 23 27 30 38 34 47 49 37 41 54 56 44 48 51 55 58 101 62 75 77 65 108 69 82 84 72 80 76 79 83 86 94 90 103 105 93 97 110 112 100 104 107 111,57 4 5 13 14 64 11 12 71 18 19 34 35 78 25 26 41 42 85 32 33 92 39 40 99 46 47 55 56 106 53 54 60 61 69 70 67 68 74 75 90 91 81 82 97 98 88 89 95 96 102 103 111 112 109 110:3 4 3 4 3 3 4 4 3 4 3 4 3 3 4 4,8 8 4 8 8 8 8 4> {(0, 63): 't1^-1*tau2*t3', (0, 49): 't3^-1*tau2^-1*t1', (1, 104): 'tau1^-1', (1, 107): 't3^-1*tau2^-1*t1', (2, 40): 't3*tau2*t1^-1', (2, 41): 't3*tau2*t1^-1', (1, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 102): 'tau1^-1', (1, 95): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 81): 'tau3^-1', (1, 83): 'tau3^-1', (1, 74): 't2^-1', (1, 76): 't2^-1', (1, 48): 't3^-1', (1, 51): 't3^-1*tau2^-1*t1', (1, 53): 't3^-1*tau2^-1*t3^-1', (1, 55): 't3^-1*tau2^-1*t3^-1', (1, 46): 't3^-1', (2, 96): 't3*tau2*t1^-1', (2, 97): 't3*tau2*t1^-1', (1, 25): 't1', (1, 27): 't1'}