U-tiling: UQC6018
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2430 |
*222222 |
(6,8,2) |
{4,4,4,4,4,4} |
{6.6.6.6}{6.5.5.6}{6.6.5.5}{5.5.... |
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
|
|
sqc8075
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4,4,4} |
16 |
(6,8) |
|
G
|
False
|
|
sqc8074
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,4,4} |
16 |
(6,9) |
|
D
|
False
|
|
sqc8125
|
|
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 | {6.6.6.6}{6.5.5.6}{6.6.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.2:128:33 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 16 8 15 10 12 14 18 20 32 24 31 26 28 30 34 36 48 40 47 42 44 46 50 52 64 56 63 58 60 62 66 68 80 72 79 74 76 78 82 84 96 88 95 90 92 94 98 100 112 104 111 106 108 110 114 116 128 120 127 122 124 126,65 82 83 6 7 88 89 74 75 44 45 30 31 32 97 114 115 22 23 120 121 106 107 60 61 113 98 99 38 39 104 105 122 123 62 63 64 81 66 67 54 55 72 73 90 91 70 71 124 125 110 111 112 86 87 108 109 126 127 128 102 103 118 119:6 5 6 5 5 5 6 5 6 5 5 5,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 56): 't3^-1', (0, 63): 't1', (0, 48): 't1', (2, 55): 't3^-1', (2, 48): 'tau2*t3', (2, 49): 't3^-1', (2, 50): 't3^-1', (2, 40): 't2^-1', (0, 47): 't1', (0, 32): 't1', (2, 39): 't2^-1', (2, 32): 'tau3^-1*t2', (2, 33): 't2^-1', (2, 34): 't2^-1', (2, 24): 't2', (2, 23): 't2', (2, 16): 'tau3*t2^-1', (2, 17): 't2', (2, 18): 't2', (2, 8): 't3', (2, 7): 't3', (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'}