U-tiling: UQC3744
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc821 |
*22222 |
(3,4,2) |
{4,4,4} |
{6.5.5.6}{6.5.6.5}{5.5.5.5} |
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
|
|
sqc1902
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4} |
8 |
(3,4) |
|
G
|
False
|
|
sqc8093
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc2193
|
|
Cmma |
67 |
orthorhombic |
{4,4,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.5.5.6}{6.5.6.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.3:128:65 3 5 7 24 81 11 13 15 32 97 19 21 23 113 27 29 31 89 35 37 39 56 73 43 45 47 64 121 51 53 55 105 59 61 63 67 69 71 104 75 77 79 112 83 85 87 120 91 93 95 128 99 101 103 107 109 111 115 117 119 123 125 127,2 75 6 21 8 10 91 14 29 16 18 107 22 24 26 123 30 32 34 83 38 53 40 42 67 46 61 48 50 115 54 56 58 99 62 64 66 70 101 72 74 78 109 80 82 86 117 88 90 94 125 96 98 102 104 106 110 112 114 118 120 122 126 128,33 4 5 38 39 16 41 12 13 46 47 49 20 21 54 55 32 57 28 29 62 63 36 37 48 44 45 52 53 64 60 61 89 68 69 94 95 88 81 76 77 86 87 96 84 85 92 93 121 100 101 126 127 120 113 108 109 118 119 128 116 117 124 125:6 5 6 5 6 6 5 5 5 5 5 5,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 't1', (0, 56): 'tau2', (2, 56): 't1', (1, 124): 't2', (2, 53): 't1', (0, 48): 'tau3^-1', (2, 48): 't1', (1, 116): 't2^-1', (1, 108): 't3', (1, 100): 't3^-1', (0, 24): 'tau3', (0, 16): 'tau2^-1', (1, 74): 't3^-1', (1, 66): 't3', (2, 125): 'tau3*t1*tau2^-1', (2, 127): 't2*tau1*t3^-1', (2, 120): 'tau3*t1*tau2^-1', (0, 127): 't2', (2, 117): 'tau3^-1*t1^-1*tau2', (2, 118): 'tau3^-1*t1^-1*tau2', (2, 119): 't2^-1*tau1^-1*t3', (2, 112): 'tau3^-1*t1^-1*tau2', (2, 30): 't1^-1', (0, 111): 't3', (2, 102): 'tau2*t1^-1*tau3^-1', (1, 34): 't2^-1', (0, 103): 't3^-1', (2, 95): 'tau1', (0, 87): 't2', (1, 10): 't2', (2, 71): 'tau1', (2, 22): 't1^-1'}