U-tiling: UQC6005
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2427 |
*222222 |
(6,8,2) |
{4,4,4,4,4,4} |
{10.10.10.10}{10.10.10.10}{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
|
|
sqc1702
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4,4} |
8 |
(6,8) |
|
G
|
False
|
|
sqc8083
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,4,4} |
16 |
(6,9) |
|
D
|
False
|
|
sqc8085
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,4,4} |
16 |
(6,8) |
Topological data
| Vertex degrees | {4,4,4,4,4,4} |
| 2D vertex symbol | {10.10.10.10}{10.10.10.10}{10.10.10.10}{10.3.3.10}{10.10.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.2:128:33 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 99 101 103 105 107 109 111 115 117 119 121 123 125 127,2 4 6 8 16 12 15 14 18 20 22 24 32 28 31 30 34 36 38 40 48 44 47 46 50 52 54 56 64 60 63 62 66 68 70 72 80 76 79 78 82 84 86 88 96 92 95 94 98 100 102 104 112 108 111 110 114 116 118 120 128 124 127 126,65 82 83 68 69 38 39 10 11 44 45 30 31 32 97 114 115 100 101 54 55 26 27 60 61 113 98 99 116 117 42 43 62 63 64 81 66 67 84 85 58 59 118 119 74 75 124 125 110 111 112 102 103 90 91 108 109 126 127 128 106 107 122 123:10 3 10 3 3 3 10 3 10 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 63): 't1', (0, 48): 't1', (2, 48): 'tau2*t3', (2, 49): 't3^-1', (2, 50): 't3^-1', (0, 47): 't1', (0, 32): 't1', (2, 32): 'tau3^-1*t2', (2, 33): 't2^-1', (2, 34): 't2^-1', (2, 16): 'tau3*t2^-1', (2, 17): 't2', (2, 18): 't2', (2, 0): 'tau2^-1*t3^-1', (2, 1): 't3', (2, 2): 't3', (2, 125): 'tau1', (2, 126): 'tau1', (2, 127): 'tau1', (0, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 112): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 109): 'tau1^-1', (2, 110): 'tau1^-1', (2, 111): 'tau1^-1', (0, 111): 't2*tau3^-1*t1^-1*tau2*t3', (0, 96): 't2*tau3^-1*t1^-1*tau2*t3'}