U-tiling: UQC5867
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc553 |
2*222 |
(3,4,1) |
{4,4,3} |
{7.7.7.7}{7.7.7.7}{7.7.7} |
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
|
|
sqc6457
|
|
P42/nnm |
134 |
tetragonal |
{4,4,3} |
16 |
(3,4) |
G
|
False
|
|
sqc6456
|
|
Ibca |
73 |
orthorhombic |
{4,4,3} |
16 |
(3,5) |
D
|
False
|
|
sqc6455
|
|
I41/amd |
141 |
tetragonal |
{4,4,3} |
16 |
(3,4) |
Topological data
Vertex degrees | {4,4,3,3,4,4} |
2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.7.7}{7.7.7}{7.7.7.7}{7.7.7.7} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<130.2:112:29 3 5 7 9 11 13 70 43 17 19 21 23 25 27 98 31 33 35 37 39 41 112 45 47 49 51 53 55 84 99 59 61 63 65 67 69 85 73 75 77 79 81 83 87 89 91 93 95 97 101 103 105 107 109 111,2 4 6 35 64 10 12 14 16 18 20 49 92 24 26 28 30 32 34 106 38 40 42 44 46 48 78 52 54 56 58 60 62 105 66 68 70 72 74 76 91 80 82 84 86 88 90 94 96 98 100 102 104 108 110 112,57 72 73 60 61 8 9 38 39 26 27 42 85 100 101 88 89 22 23 52 53 56 99 86 87 102 103 36 37 54 55 71 58 59 74 75 50 51 64 65 108 109 96 97 112 78 79 94 95 110 111 98 92 93 106 107:7 7 7 7 7 7 7 7,4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 3> {(0, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 56): 't3*tau2', (2, 57): 't3', (2, 58): 't3', (2, 52): 't1', (2, 51): 't1', (2, 42): 'tau2*t3', (2, 37): 't1', (2, 38): 't1', (2, 28): 'tau3^-1*t2', (2, 29): 't2^-1', (2, 30): 't2^-1', (1, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 28): 't1', (2, 16): 't2', (2, 14): 'tau3*t2^-1', (2, 15): 't2', (0, 14): 't1^-1', (2, 1): 't3', (2, 2): 't3', (1, 62): 't3*tau2*t1^-1*tau3^-1*t2', (1, 48): 't1', (2, 108): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 109): 'tau1', (2, 110): 'tau1', (2, 107): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 34): 't1', (2, 96): 'tau1^-1', (2, 93): 't2*tau3^-1*t1^-1*tau2*t3', (2, 94): 't2*tau3^-1*t1^-1*tau2*t3', (2, 95): 'tau1^-1', (0, 84): 't2*tau3^-1*t1^-1*tau2*t3'}