U-tiling: UQC3926
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1112 |
*22222 |
(3,5,2) |
{3,8,4} |
{6.3.6}{6.6.3.3.6.6.3.3}{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) |
G
|
False
|
|
sqc8754
|
|
Fddd |
70 |
orthorhombic |
{3,8,4} |
16 |
(3,6) |
D
|
False
|
|
sqc2897
|
|
Cmma |
67 |
orthorhombic |
{3,8,4} |
8 |
(3,5) |
Topological data
Vertex degrees | {3,8,4} |
2D vertex symbol | {6.3.6}{6.6.3.3.6.6.3.3}{6.6.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<40.5:144:10 3 5 24 8 18 12 14 33 17 28 21 23 26 36 30 32 35 46 39 41 60 44 54 48 50 69 53 64 57 59 62 72 66 68 71 91 75 77 114 80 99 100 84 86 123 89 108 93 95 132 98 102 104 141 107 127 111 113 116 135 136 120 122 125 144 129 131 134 138 140 143,2 7 22 6 9 11 16 31 15 18 20 25 24 27 29 34 33 36 38 43 58 42 45 47 52 67 51 54 56 61 60 63 65 70 69 72 74 79 112 78 81 83 88 121 87 90 92 97 130 96 99 101 106 139 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,19 4 5 87 79 80 45 28 13 14 105 97 98 54 22 23 123 115 116 63 31 32 141 133 134 72 55 40 41 96 106 107 64 49 50 78 88 89 58 59 132 142 143 67 68 114 124 125 109 76 77 108 118 85 86 99 127 94 95 136 103 104 112 113 144 121 122 135 130 131 139 140:6 3 3 6 6 3 3 6 6 3 6 3 3 3 6 6,3 8 4 3 8 4 8 4 8 4 3 3 3 3 3 3> {(2, 60): 'tau3^-1', (2, 61): 'tau3^-1', (2, 62): 't1', (1, 120): 't3', (2, 50): 't3^-1', (2, 41): 't2^-1', (1, 111): 't3^-1', (2, 33): 'tau3', (2, 34): 'tau3', (1, 102): 't2^-1', (2, 24): 'tau2^-1', (2, 25): 'tau2^-1', (2, 143): 'tau3*t1*tau2^-1', (0, 143): 't2*tau1*t3^-1', (0, 140): 't2', (0, 131): 't2^-1', (2, 134): 'tau3^-1*t1^-1*tau2', (2, 35): 't1^-1', (0, 134): 't2^-1*tau1^-1*t3', (0, 135): 't2*tau1*t3^-1', (1, 93): 't2', (2, 124): 'tau2^-1', (2, 126): 't2^-1', (0, 126): 't2^-1*tau1^-1*t3', (2, 123): 'tau2^-1', (2, 117): 't3', (2, 108): 't3^-1', (0, 107): 'tau1', (2, 104): 't2^-1', (2, 5): 't3', (0, 98): 'tau1^-1', (0, 99): 'tau1', (2, 99): 't2^-1', (0, 90): 'tau1^-1', (0, 77): 't3', (0, 122): 't3'}