U-tiling: UQC4003
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1123 |
*22222 |
(3,5,2) |
{4,8,3} |
{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4} |
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
|
|
sqc2275
|
|
Fmmm |
69 |
orthorhombic |
{3,3,8} |
8 |
(3,5) |
|
G
|
False
|
|
sqc8781
|
|
Fddd |
70 |
orthorhombic |
{4,8,3} |
16 |
(3,6) |
|
D
|
False
|
|
sqc2989
|
|
Cmma |
67 |
orthorhombic |
{4,8,3} |
8 |
(3,5) |
Topological data
| Vertex degrees | {4,8,3} |
| 2D vertex symbol | {5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<45.5:144:10 3 5 7 44 45 12 14 16 53 54 28 21 23 25 62 63 30 32 34 71 72 46 39 41 43 48 50 52 64 57 59 61 66 68 70 91 75 77 79 107 108 100 84 86 88 98 99 93 95 97 102 104 106 127 111 113 115 143 144 136 120 122 124 134 135 129 131 133 138 140 142,2 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 83 84 6 7 80 18 28 101 102 15 16 98 119 120 24 25 116 36 137 138 33 34 134 55 92 93 42 43 107 54 64 74 75 51 52 89 128 129 60 61 143 72 110 111 69 70 125 109 78 79 99 118 87 88 108 127 96 97 136 105 106 114 115 135 123 124 144 132 133 141 142:5 4 4 5 4 4 5 5 5 4 5 4 5 4 5 4,4 8 3 4 8 8 3 8 4 3 4 3 3 3 3 3> {(1, 121): 't3*tau1^-1*t2^-1', (2, 61): 'tau3^-1', (0, 62): 't1', (0, 61): 't1', (1, 112): 't3^-1*tau1*t2', (2, 46): 't3^-1', (2, 47): 't3^-1', (0, 35): 't1^-1', (0, 34): 't1^-1', (2, 37): 't2^-1', (2, 38): 't2^-1', (2, 34): 'tau3', (2, 25): 'tau2^-1', (1, 94): 'tau1^-1', (1, 85): 'tau1^-1', (2, 143): 't2*tau1*t3^-1', (0, 142): 'tau3*t1*tau2^-1', (0, 143): 'tau3*t1*tau2^-1', (2, 10): 't2', (2, 11): 't2', (2, 134): 't2^-1*tau1^-1*t3', (2, 135): 't2', (0, 134): 'tau3^-1*t1^-1*tau2', (0, 135): 't2*tau1*t3^-1', (2, 2): 't3', (2, 124): 'tau2^-1', (2, 126): 't2^-1', (0, 126): 't2^-1*tau1^-1*t3', (0, 124): 'tau2^-1*t1*tau3', (2, 117): 't3', (2, 108): 't3^-1', (2, 107): 'tau1', (0, 99): 'tau1', (2, 98): 'tau1^-1', (0, 90): 'tau1^-1', (2, 1): 't3'}