U-tiling: UQC5927
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2403 |
*222222 |
(6,7,2) |
{4,6,4,4,4,4} |
{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}{... |
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
|
|
sqc7277
|
|
Pmmm |
47 |
orthorhombic |
{4,6,4,4,4,4} |
14 |
(6,7) |
G
|
False
|
|
sqc7276
|
|
I212121 |
24 |
orthorhombic |
{4,6,4,4,4,4} |
14 |
(6,8) |
D
|
False
|
|
sqc1530
|
|
Pmmm |
47 |
orthorhombic |
{4,6,4,4,4,4} |
7 |
(6,7) |
Topological data
Vertex degrees | {4,6,4,4,4,4} |
2D vertex symbol | {3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.1:120:16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 76 63 65 67 69 71 73 75 78 80 82 84 86 88 90 106 93 95 97 99 101 103 105 108 110 112 114 116 118 120,2 18 6 15 8 10 12 14 17 21 30 23 25 27 29 32 48 36 45 38 40 42 44 47 51 60 53 55 57 59 62 78 66 75 68 70 72 74 77 81 90 83 85 87 89 92 108 96 105 98 100 102 104 107 111 120 113 115 117 119,31 4 5 36 37 68 69 25 26 42 43 74 75 46 19 20 51 52 83 84 57 58 89 90 34 35 98 99 55 56 104 105 49 50 113 114 119 120 91 64 65 96 97 85 86 102 103 106 79 80 111 112 117 118 94 95 115 116 109 110:3 6 6 3 6 6 3 6 6 3 6 6,4 6 4 4 4 4 4 4 4 6 4 4 4 4> {(2, 56): 'tau2^-1*t1', (2, 57): 'tau2^-1*t1', (2, 58): 't3*tau1^-1*t2^-1*tau3*t1', (2, 59): 't3*tau1^-1*t2^-1*tau3*t1', (2, 54): 'tau2^-1*t3^-1', (2, 55): 'tau2^-1*t3^-1', (2, 44): 't3*tau1^-1', (1, 107): 't1^-1*tau3^-1*t2', (2, 41): 't3', (2, 42): 't3', (2, 43): 't3*tau1^-1', (2, 28): 'tau3', (2, 29): 'tau3', (2, 24): 't1^-1', (0, 60): 't2^-1*tau3', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 13): 't2', (2, 14): 't2', (1, 77): 'tau3^-1*t2', (2, 10): 't1', (2, 116): 'tau2^-1*t3^-1*tau1*t2', (2, 117): 'tau2^-1*t3^-1*tau1*t2', (2, 115): 'tau2^-1*t3^-1', (2, 110): 't1^-1', (0, 105): 't1^-1*tau3^-1*t2', (2, 105): 't1^-1', (2, 101): 'tau1*t2', (2, 102): 'tau1*t2', (2, 99): 't3*tau2', (2, 81): 't1'}