U-tiling: UQC3327
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc373 |
*2244 |
(3,4,2) |
{4,4,4} |
{8.5.5.8}{5.5.5.5}{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
|
|
sqc6877
|
|
P4/nmm |
129 |
tetragonal |
{4,4,4} |
14 |
(3,4) |
G
|
False
|
|
sqc6878
|
|
I41/a |
88 |
tetragonal |
{4,4,4} |
14 |
(3,4) |
D
|
False
|
|
sqc6920
|
|
I41/amd |
141 |
tetragonal |
{4,4,4} |
14 |
(3,4) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {8.5.5.8}{5.5.5.5}{5.5.5.5} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.1:112:43 16 17 5 7 50 23 24 12 14 57 19 21 71 26 28 78 93 94 33 35 64 107 108 40 42 65 66 47 49 79 80 54 56 86 87 61 63 68 70 100 101 75 77 82 84 106 89 91 99 96 98 103 105 110 112,2 4 6 21 9 11 13 28 16 18 20 23 25 27 30 32 34 98 37 39 41 112 44 46 48 70 51 53 55 84 58 60 62 91 65 67 69 72 74 76 105 79 81 83 86 88 90 93 95 97 100 102 104 107 109 111,8 3 11 12 48 49 10 55 56 29 17 32 33 62 63 36 24 39 40 76 77 31 83 84 38 69 70 50 45 53 54 52 78 59 81 82 71 66 74 75 73 80 99 87 102 103 111 112 106 94 109 110 104 105 101 108:8 5 8 5 5 5 5 5 5 5,4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3', (2, 61): 't3*tau2', (2, 62): 't3*tau2', (2, 63): 't2^-1', (2, 56): 't3', (2, 59): 't3', (2, 54): 't1', (2, 55): 't1', (2, 48): 't1', (2, 47): 't1', (2, 40): 't2^-1*tau3', (2, 41): 't2^-1*tau3', (2, 38): 't2^-1', (2, 39): 't2^-1', (2, 32): 't3^-1', (2, 33): 't3^-1*tau2^-1', (2, 34): 't3^-1*tau2^-1', (2, 35): 't2^-1', (2, 28): 't3^-1', (2, 31): 't3^-1', (2, 26): 'tau3*t2^-1', (2, 27): 'tau3*t2^-1', (2, 108): 'tau1', (2, 109): 'tau1', (2, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 104): 't2*tau3^-1*t1^-1*tau2*t3', (2, 105): 'tau1', (2, 101): 'tau1^-1', (2, 102): 'tau1^-1', (2, 103): 't2*tau3^-1*t1^-1*tau2*t3', (2, 98): 'tau1^-1', (2, 73): 't2', (2, 74): 't2'}