U-tiling: UQC3534
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc95 |
*2224 |
(2,3,1) |
{4,8} |
{4.4.4.4}{4.4.4.4.4.4.4.4} |
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) |
|
P
|
False
|
|
sqc1635
|
|
Fmmm |
69 |
orthorhombic |
{4,8,4} |
6 |
(3,5) |
|
G
|
False
|
|
sqc7493
|
|
Fddd |
70 |
orthorhombic |
{4,8,4} |
12 |
(3,5) |
|
D
|
True
|
|
sqc61
|
fsd
|
P4/mmm |
123 |
tetragonal |
{4,6} |
3 |
(2,3) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.3:128:65 3 68 69 7 72 81 11 84 85 15 88 97 19 100 101 23 104 113 27 116 117 31 120 89 35 92 93 39 96 73 43 76 77 47 80 121 51 124 125 55 128 105 59 108 109 63 112 67 71 75 79 83 87 91 95 99 103 107 111 115 119 123 127,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,33 10 11 5 22 23 80 41 13 30 31 96 49 26 27 21 112 57 29 128 42 43 37 54 55 88 45 62 63 72 58 59 53 120 61 104 89 82 83 69 102 103 81 90 91 77 110 111 85 118 119 93 126 127 121 114 115 101 113 122 123 109 117 125:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 4 4 8 4 4 4 8 8 4> {(0, 59): 'tau2', (0, 56): 'tau2', (2, 56): 't1', (0, 63): 'tau2', (0, 60): 'tau2', (0, 51): 'tau3^-1', (0, 48): 'tau3^-1', (2, 48): 't1', (0, 55): 'tau3^-1', (0, 52): 'tau3^-1', (2, 47): 't3^-1', (2, 39): 't2^-1', (0, 27): 'tau3', (0, 24): 'tau3', (0, 31): 'tau3', (0, 28): 'tau3', (0, 19): 'tau2^-1', (0, 16): 'tau2^-1', (0, 23): 'tau2^-1', (0, 20): 'tau2^-1', (2, 15): 't2', (2, 7): 't3', (2, 125): 't2', (2, 126): 't2', (2, 120): 'tau3*t1*tau2^-1', (2, 121): 't2*tau1*t3^-1', (2, 117): 't2^-1', (2, 118): 't2^-1', (2, 112): 'tau3^-1*t1^-1*tau2', (2, 109): 't3', (2, 110): 't3', (2, 106): 't3*tau1^-1*t2^-1', (2, 101): 't3^-1', (2, 102): 't3^-1', (2, 97): 't3^-1*tau1*t2', (2, 98): 't3^-1*tau1*t2', (2, 89): 'tau1', (2, 90): 'tau1', (2, 81): 'tau1^-1', (2, 82): 'tau1^-1'}