U-tiling: UQC3424
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
|
False
|
|
sqc1289
|
|
P4/mmm |
123 |
tetragonal |
{8,8,4} |
4 |
(3,3) |
|
G
|
False
|
|
sqc6256
|
|
I41/a |
88 |
tetragonal |
{8,8,4} |
8 |
(3,4) |
|
D
|
False
|
|
sqc6255
|
|
I41/amd |
141 |
tetragonal |
{8,8,4} |
8 |
(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 57 17 19 21 71 24 26 28 78 31 33 35 64 38 40 42 45 47 49 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 106 87 89 91 99 94 96 98 101 103 105 108 110 112,2 45 6 19 21 9 52 13 26 28 16 59 20 23 73 27 30 80 34 96 98 37 66 41 110 112 44 48 68 70 51 55 82 84 58 62 89 91 65 69 72 76 103 105 79 83 86 108 90 93 101 97 100 104 107 111,8 4 5 48 49 11 12 55 56 29 18 19 62 63 36 25 26 76 77 32 33 83 84 39 40 69 70 50 46 47 53 54 78 60 61 71 67 68 74 75 81 82 99 88 89 111 112 106 95 96 104 105 102 103 109 110:3 4 3 4 3 3 3 4 3 4 4 4 4 4 3 3,8 8 4 8 4 8 8 8> {(2, 61): 't3*tau2', (2, 62): 't3*tau2', (2, 63): 't2^-1', (2, 56): 't3', (2, 54): 't1', (2, 55): 't1', (2, 48): 't1', (2, 47): 't1', (2, 40): 't2^-1*tau3', (2, 41): 't2^-1*tau3', (2, 33): 't3^-1*tau2^-1', (2, 34): 't3^-1*tau2^-1', (2, 35): 't2^-1', (2, 28): 't3^-1', (2, 26): 'tau3*t2^-1', (2, 27): 'tau3*t2^-1', (2, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 104): 't2*tau3^-1*t1^-1*tau2*t3', (2, 105): 'tau1', (2, 103): 't2*tau3^-1*t1^-1*tau2*t3', (2, 98): 'tau1^-1'}