U-tiling: UQC3205
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2423 |
*222222 |
(2,8,6) |
{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
|
|
sqc1673
|
|
Pmmm |
47 |
orthorhombic |
{4,8} |
6 |
(2,8) |
|
G
|
False
|
|
sqc7536
|
|
C2/c |
15 |
monoclinic |
{8,4,4} |
12 |
(3,9) |
|
D
|
True
|
|
sqc7094
|
|
Imma |
74 |
orthorhombic |
{7,4} |
12 |
(2,8) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<44.2:128:65 82 83 68 69 8 9 74 75 44 45 30 31 32 97 114 115 100 101 24 25 106 107 60 61 113 98 99 116 117 40 41 122 123 62 63 64 81 66 67 84 85 56 57 90 91 72 73 124 125 110 111 112 88 89 108 109 126 127 128 104 105 120 121,2 4 6 16 10 15 12 14 18 20 22 32 26 31 28 30 34 36 38 48 42 47 44 46 50 52 54 64 58 63 60 62 66 68 70 80 74 79 76 78 82 84 86 96 90 95 92 94 98 100 102 112 106 111 108 110 114 116 118 128 122 127 124 126,33 3 5 7 9 11 13 15 48 49 19 21 23 25 27 29 31 64 35 37 39 41 43 45 47 51 53 55 57 59 61 63 113 67 69 71 73 75 77 79 128 97 83 85 87 89 91 93 95 112 99 101 103 105 107 109 111 115 117 119 121 123 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,8 4 8 4 4 4 8 4 8 4 4 4> {(2, 47): 't1', (0, 18): 't2', (0, 1): 't3', (2, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 34): 't2^-1', (0, 111): 'tau1^-1', (0, 48): 'tau2*t3', (0, 125): 'tau1', (2, 32): 't1', (2, 112): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 2): 't3', (0, 49): 't3^-1', (0, 16): 'tau3*t2^-1', (2, 111): 't2*tau3^-1*t1^-1*tau2*t3', (0, 126): 'tau1', (0, 32): 'tau3^-1*t2', (0, 109): 'tau1^-1', (2, 63): 't1', (0, 17): 't2', (2, 96): 't2*tau3^-1*t1^-1*tau2*t3', (0, 50): 't3^-1', (0, 127): 'tau1', (0, 33): 't2^-1', (0, 0): 'tau2^-1*t3^-1', (2, 48): 't1', (0, 110): 'tau1^-1', }