U-tiling: UQC2613
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1957 |
*2626 |
(2,5,5) |
{4,4} |
{12.8.3.4}{3.8.6.8} |
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
|
|
sqc9142
|
|
R-3m |
166 |
rhombohedral |
{4,4} |
18 |
(2,5) |
G
|
False
|
|
sqc9144
|
|
R-3 |
148 |
rhombohedral |
{4,4,4} |
18 |
(3,6) |
D
|
False
|
|
sqc9146
|
|
R-3m |
166 |
rhombohedral |
{4,4} |
18 |
(2,5) |
Topological data
Vertex degrees | {4,4} |
2D vertex symbol | {12.8.3.4}{3.8.6.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.1:144:121 122 5 6 19 20 33 34 119 120 133 134 17 18 45 46 107 108 85 86 29 30 55 56 143 144 73 74 41 42 67 68 131 132 109 110 53 54 81 82 71 72 97 98 65 66 93 94 77 78 103 104 95 96 89 90 115 116 101 102 129 130 113 114 141 142 125 126 139 140 137 138,109 3 112 7 12 9 11 97 15 100 19 24 21 23 133 27 136 31 36 33 35 121 39 124 43 48 45 47 61 51 64 55 60 57 59 63 67 72 69 71 85 75 88 79 84 81 83 87 91 96 93 95 99 103 108 105 107 111 115 120 117 119 123 127 132 129 131 135 139 144 141 143,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144:6 8 3 12 4 3 4 8 3 8 3 3 4 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 24): 'tau2^-1', (0, 94): 'tau1^-1', (0, 60): 't2', (1, 108): 'tau2', (1, 87): 'tau1^-1', (1, 48): 'tau1', (1, 123): 'tau3^-1', (0, 1): 't1^-1', (0, 10): 'tau2^-1', (0, 22): 'tau3', (0, 12): 't1^-1', (0, 34): 'tau2^-1', (0, 47): 'tau3', (0, 24): 't3', (0, 59): 'tau1', (0, 36): 't2', (1, 84): 'tau1^-1', (0, 48): 't3', (0, 61): 't2', (1, 99): 'tau3^-1', (0, 83): 'tau1', (1, 12): 'tau3', (1, 27): 'tau2^-1', (0, 11): 'tau2^-1', (1, 36): 'tau3', (1, 111): 'tau2', (0, 23): 'tau3', (0, 0): 't1^-1', (0, 13): 't1^-1', (1, 51): 'tau1', (0, 35): 'tau2^-1', (0, 25): 't3', (0, 37): 't2', (0, 46): 'tau3', (0, 49): 't3', (0, 58): 'tau1', }