U-tiling: UQC1164
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1038 |
*22222 |
(2,5,3) |
{10,4} |
{4.4.3.4.4.4.4.3.4.4}{4.4.3.3} |
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
|
True
|
|
sqc2217
|
|
Fmmm |
69 |
orthorhombic |
{4,9} |
6 |
(2,5) |
G
|
False
|
|
sqc8481
|
|
Fddd |
70 |
orthorhombic |
{10,4} |
12 |
(2,6) |
D
|
True
|
|
sqc109
|
|
Pmmm |
47 |
orthorhombic |
{4,8} |
3 |
(2,5) |
Topological data
Vertex degrees | {10,4} |
2D vertex symbol | {4.4.3.4.4.4.4.3.4.4}{4.4.3.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.1:144:82 74 75 6 7 80 18 100 92 93 15 16 98 118 110 111 24 25 116 36 136 128 129 33 34 134 91 101 102 42 43 107 54 73 83 84 51 52 89 127 137 138 60 61 143 72 109 119 120 69 70 125 78 79 99 87 88 108 96 97 105 106 114 115 135 123 124 144 132 133 141 142,2 4 14 8 9 11 13 17 18 20 22 32 26 27 29 31 35 36 38 40 50 44 45 47 49 53 54 56 58 68 62 63 65 67 71 72 74 76 95 80 81 83 85 104 89 90 92 94 98 99 101 103 107 108 110 112 131 116 117 119 121 140 125 126 128 130 134 135 137 139 143 144,19 3 5 7 44 45 28 12 14 16 53 54 21 23 25 62 63 30 32 34 71 72 55 39 41 43 64 48 50 52 57 59 61 66 68 70 109 75 77 79 107 108 118 84 86 88 98 99 127 93 95 97 136 102 104 106 111 113 115 143 144 120 122 124 134 135 129 131 133 138 140 142:4 4 3 4 4 4 4 3 4 4 4 3 4 4 3 4 3 3 3 3,10 4 4 4 4 10 10 4 10 4 4 4> {(1, 103): 'tau1', (0, 29): 'tau3', (0, 134): 't2^-1*tau1^-1*t3', (2, 117): 't3', (1, 121): 't3*tau1^-1*t2^-1', (2, 142): 'tau3*t1*tau2^-1', (1, 112): 't3^-1*tau1*t2', (0, 34): 'tau3', (0, 107): 'tau1', (0, 20): 'tau2^-1', (0, 55): 'tau3^-1', (0, 45): 't3^-1', (0, 98): 'tau1^-1', (2, 62): 't1', (2, 72): 't3', (2, 61): 't1', (0, 36): 't2^-1', (0, 124): 'tau2^-1', (0, 119): 'tau2^-1', (0, 61): 'tau3^-1', (0, 19): 'tau2^-1', (0, 9): 't2', (2, 143): 'tau3*t1*tau2^-1', (0, 0): 't3', (0, 127): 'tau3^-1', (2, 34): 't1^-1', (2, 126): 't2^-1', (2, 134): 'tau3^-1*t1^-1*tau2', (0, 118): 'tau2^-1', (0, 25): 'tau2^-1', (2, 99): 't2^-1', (0, 143): 't2*tau1*t3^-1', (0, 56): 'tau3^-1', (2, 35): 't1^-1', (1, 94): 'tau1^-1', (2, 124): 'tau2^-1*t1*tau3', }