[Gmsh] Ensuring conformal meshing when using geomtry from Freecad

Benedikt Oswald benedikt.oswald at lspr.swiss
Thu Apr 5 12:53:31 CEST 2018


Dear gmsh developers

I recently tried to mesh a geometry (made in Freecad) which consists of
two volumes where a smaller volume was

subtracted in Freecad from the larger one. When I mesh the two volumes I
would need tetrahedra

and that are conformal between the two volumes. Would you have a
suggestion on how

to achieve this ? At the moment, gmsh does not really produce a
conformal mesh.

I attach the files in question.

Thanks a lot in advance and greetings, Benedikt


 
----------------------------------------------------------------------------------------------------------------------
Dr. sc. techn. Benedikt Oswald - first engineer - LSPR AG - phone +41 43 366 90 74
Grubenstrasse 9, CH-8045 Zürich, benedikt.oswald at lspr.swiss
----------------------------------------------------------------------------------------------------------------------

-------------- next part --------------
// author - benedikt oswald
//
// when - 2017-04-05
//
// objective - (1) read the nanopore geometry
//             (2) specify the periodicity in terms of conformal boundary meshes
//             (3) assign physical tags to volu

// read the step file
Merge "nanopore-rev-600.brep";


// constrain the boundary surfaces to conformal discretization

// lower part
Periodic Surface {36} = {31} Translate {250,0,0};		// ex
Periodic Surface {34} = {32} Translate {0,250,0};		// ey

// middle part
Periodic Surface {13} = {10} Translate {250,0,0};		// ex
Periodic Surface {11} = {12} Translate {0,250,0};		// ey

// upper part
Periodic Surface {65} = {62} Translate {250,0,0};		// ex
Periodic Surface {63} = {64} Translate {0,250,0};		// ey

// floor and roof
Periodic Surface {66} = {35} Translate {0,0,600};		// ez






// assign tags to periodic surfaces

// lower part
Physical Surface(1000) = {31};			// surface at x = xmin
Physical Surface(2000) = {36};			// surface at x = xmax

Physical Surface(3000) = {32};			// surface at y = ymin
Physical Surface(4000) = {34};			// surface at y = ymax

// middle part
Physical Surface(1100) = {10};			// surface at x = xmin
Physical Surface(2100) = {13};			// surface at x = xmax

Physical Surface(3100) = {12};			// surface at y = ymin
Physical Surface(4100) = {11};			// surface at y = ymax

// upper part
Physical Surface(1200) = {62};			// surface at x = xmin
Physical Surface(2200) = {65};			// surface at x = xmax

Physical Surface(3200) = {64};			// surface at y = ymin
Physical Surface(4200) = {63};			// surface at y = ymax


// floor & roof
Physical Surface(5000) = {35};			// surface at x = zmin
Physical Surface(6000) = {66};			// surface at x = zmax



// assign tag to volume domains
Physical Volume(5000) = {1};				// plate containing nanopore
Physical Volume(6000) = {2};				// air domain around plate with nanopore

Mesh.CharacteristicLengthMin = 3;
Mesh.CharacteristicLengthMax = 30;
Mesh.CharacteristicLengthFromCurvature = 1;
Mesh.MinimumCirclePoints = 18; // points per 2*pi
Mesh.MinimumCurvePoints = 18;
//+
Show "*";
//+
Show "*";
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DBRep_DrawableShape

CASCADE Topology V1, (c) Matra-Datavision
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p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
2 2 9 
p 0.901373203338207 1 5 45 
2 3 4 
p 0.901373203338207 1 5 45 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 8 10 11 12 13 14 9 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 2 15 16 17 18 19 14 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 1 4 5 6 7 8 3 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 8 20 21 22 23 24 14 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 2 15 16 17 18 19 14 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 1 4 5 6 7 8 3 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 8 20 21 22 23 24 14 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
2 2 9 
p 0.901373203338207 1 5 45 
2 3 4 
p 0.901373203338207 1 5 45 
7 8 20 21 22 23 24 14 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 8 10 11 12 13 14 9 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
2 2 9 
p 0.901373203338207 1 5 45 
2 3 4 
p 0.901373203338207 1 5 45 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 8 10 11 12 13 14 9 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 2 15 16 17 18 19 14 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 1 4 5 6 7 8 3 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 2 15 16 17 18 19 14 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 1 4 5 6 7 8 3 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 8 20 21 22 23 24 14 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 8 10 11 12 13 14 9 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
2 2 9 
p 0.901373203338207 1 5 45 
2 3 4 
p 0.901373203338207 1 5 45 
2 2 9 
p 0.901373203338207 1 5 45 
2 1 2 
p 0.901373203338207 1 5 45 
2 1 2 
p 0.901373203338207 1 5 35 
2 3 1 
p 0.901373203338207 1 5 35 
2 1 2 
p 0.901373203338207 1 5 35 
2 4 2 
p 0.901373203338207 1 5 35 
7 2 15 16 17 18 19 14 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 2 10 11 12 13 14 9 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
2 3 9 
p 0.901373203338207 1 5 35 
2 3 1 
p 0.901373203338207 1 5 35 
7 2 15 16 17 18 19 14 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 2 10 11 12 13 14 9 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
2 3 9 
p 0.901373203338207 1 5 35 
2 3 1 
p 0.901373203338207 1 5 35 
2 2 9 
p 0.901373203338207 1 5 45 
2 1 2 
p 0.901373203338207 1 5 45 
2 3 9 
p 0.901373203338207 1 5 35 
2 4 2 
p 0.901373203338207 1 5 35 
2 2 9 
p 0.901373203338207 1 5 45 
2 1 2 
p 0.901373203338207 1 5 45 
2 1 2 
p 0.901373203338207 1 5 35 
2 4 2 
p 0.901373203338207 1 5 35 
2 1 2 
p 0.901373203338207 1 5 35 
2 3 1 
p 0.901373203338207 1 5 35 
7 2 15 16 17 18 19 14 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 2 10 11 12 13 14 9 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 2 15 16 17 18 19 14 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 2 10 11 12 13 14 9 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
2 3 9 
p 0.901373203338207 1 5 35 
2 4 2 
p 0.901373203338207 1 5 35 
2 2 9 
p 0.901373203338207 1 5 45 
2 1 2 
p 0.901373203338207 1 5 45 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
2 1 8 
p 0.901373203338207 1 5 45 
2 1 2 
p 0.901373203338207 1 5 45 
2 5 6 
p 1.83333333333333 1 5 45 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 8 10 11 12 13 14 9 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 9 10 11 12 13 8 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 1 4 5 6 7 8 3 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 5 8 9 10 11 12 7 
p 1.83333333333333 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 8 20 21 22 23 24 14 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 9 10 11 12 13 8 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 2 10 11 12 13 14 9 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 6 14 15 16 17 18 13 
p 1.83333333333333 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 8 20 21 22 23 24 14 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
2 1 8 
p 0.901373203338207 1 5 45 
2 3 15 
p 0.901373203338207 1 5 45 
2 7 19 
p 1.83333333333333 1 5 45 
7 8 20 21 22 23 24 14 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 8 10 11 12 13 14 9 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
2 1 8 
p 0.901373203338207 1 5 45 
2 9 16 
p 0.901373203338207 1 5 45 
2 13 20 
p 1.83333333333333 1 5 45 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 8 10 11 12 13 14 9 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 3 4 5 6 7 2 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 1 9 10 11 12 13 8 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 17 18 19 20 21 22 15 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 21 22 23 24 25 26 19 
p 1.83333333333333 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 1 9 10 11 12 13 8 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 16 24 25 26 27 28 23 
p 0.901373203338207 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 20 28 29 30 31 32 27 
p 1.83333333333333 1 0 0.26179938779915 0.523598775598299 0.785398163397449 1.0471975511966 1.30899693899575 1.5707963267949 
7 8 20 21 22 23 24 14 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
7 8 10 11 12 13 14 9 
p 0.901373203338207 1 1.5707963267949 1.83259571459405 2.0943951023932 2.35619449019234 2.61799387799149 2.87979326579064 3.14159265358979 
2 1 8 
p 0.901373203338207 1 5 45 
2 17 23 
p 0.901373203338207 1 5 45 
2 21 27 
p 1.83333333333333 1 5 45 
2 29 30 
p 0.901373203338207 1 0 250 
2 2 3 
p 0.901373203338207 1 0 250 
2 1 2 
p 1.83333333333333 1 0 250 
2 1 4 
p 1.83333333333333 1 0 250 
2 30 31 
p 0.901373203338207 1 0 250 
2 4 3 
p 0.901373203338207 1 0 250 
2 2 3 
p 1.83333333333333 1 0 250 
2 4 1 
p 1.83333333333333 1 0 250 
2 29 32 
p 0.901373203338207 1 0 250 
2 4 3 
p 0.901373203338207 1 0 250 
2 1 4 
p 1.83333333333333 1 0 250 
2 4 1 
p 1.83333333333333 1 0 250 
2 32 31 
p 0.901373203338207 1 0 250 
2 2 3 
p 0.901373203338207 1 0 250 
2 4 3 
p 1.83333333333333 1 0 250 
2 1 4 
p 1.83333333333333 1 0 250 
2 1 2 
p 1.83333333333333 1 220 600 
2 4 3 
p 1.83333333333333 1 220 600 
2 2 3 
p 1.83333333333333 1 0 250 
2 1 2 
p 1.83333333333333 1 0 250 
2 2 3 
p 1.83333333333333 1 0 250 
2 4 3 
p 1.83333333333333 1 220 600 
2 4 3 
p 1.83333333333333 1 220 600 
2 1 2 
p 1.83333333333333 1 220 600 
2 4 3 
p 1.83333333333333 1 220 600 
2 4 3 
p 1.83333333333333 1 0 250 
2 2 3 
p 1.83333333333333 1 0 250 
2 3 2 
p 1.83333333333333 1 0 250 
2 1 2 
p 1.83333333333333 1 220 600 
2 1 2 
p 1.83333333333333 1 220 600 
2 4 3 
p 1.83333333333333 1 0 250 
2 1 4 
p 1.83333333333333 1 0 250 
2 3 2 
p 1.83333333333333 1 0 250 
2 2 3 
p 1.83333333333333 1 0 250 
2 4 3 
p 1.83333333333333 1 0 250 
2 2 3 
p 1.83333333333333 1 0 250 
Surfaces 66
1 0 0 40 0 0 1 1 0 -0 -0 1 0 
2 30 -25 15 0 1 0 0 -0 1 -1 -0 0 5
5 20 -20 15 0 0 1 1 0 -0 0 -1 -0 10 5
5 20 20 15 0 0 1 1 0 -0 -0 1 0 10 5
2 25 -30 15 -1 0 0 0 0 1 0 1 -0 5
2 25 30 15 -1 0 0 0 0 1 -0 -1 0 5
5 -20 -20 15 0 0 1 -1 0 0 0 -1 0 10 5
5 -20 20 15 0 0 1 0 1 -0 -1 0 0 10 5
2 -30 -25 15 0 1 0 0 -0 1 1 0 -0 5
1 0 0 0 1 0 -0 0 0 1 0 -1 0 
1 0 250 0 -0 1 0 0 0 1 1 0 -0 
1 0 0 0 -0 1 0 0 0 1 1 0 -0 
1 250 0 0 1 0 -0 0 0 1 0 -1 0 
1 50 0 0 1 0 -0 0 0 1 0 -1 0 
2 20 -20 -20 0 0 1 1 0 -0 0 -1 -0 5
2 20 20 -20 0 0 1 1 0 -0 -0 1 0 5
1 0 0 0 -0 1 0 0 0 1 1 0 -0 
1 0 50 0 -0 1 0 0 0 1 1 0 -0 
2 -20 -20 -20 0 0 1 -1 -0 0 0 -1 0 5
2 -20 20 -20 0 0 1 0 1 0 -1 0 0 5
1 0 0 0 1 0 -0 0 0 1 0 -1 0 
1 0 0 0 0 0 1 1 0 -0 -0 1 0 
2 30 -25 -15 0 1 0 0 0 -1 -1 0 0 5
5 20 -20 -15 -0 -0 -1 1 0 -0 0 -1 0 10 5
5 20 20 -15 -0 -0 -1 1 0 -0 -0 1 -0 10 5
2 25 -30 -15 -1 0 0 -0 0 -1 0 1 -0 5
2 25 30 -15 -1 0 0 -0 0 -1 -0 -1 0 5
5 -20 -20 -15 -0 -0 -1 -1 0 0 -0 -1 0 10 5
5 -20 20 -15 -0 -0 -1 0 1 -0 -1 0 -0 10 5
2 -30 -25 -15 0 1 0 0 0 -1 1 -0 -0 5
1 0 0 0 1 0 -0 0 0 1 0 -1 0 
1 0 0 0 -0 1 0 0 0 1 1 0 -0 
1 0 0 0 1 0 -0 0 0 1 0 -1 0 
1 0 0 0 0 0 1 1 0 -0 -0 1 0 
1 0 250 0 -0 1 0 0 0 1 1 0 -0 
1 0 0 0 0 0 1 1 0 -0 -0 1 0 
1 250 0 0 1 0 -0 0 0 1 0 -1 0 
1 0 0 0 -0 1 0 0 0 1 1 0 -0 
1 0 250 0 -0 1 0 0 0 1 1 0 -0 
1 250 0 0 1 0 -0 0 0 1 0 -1 0 
2 30 -25 -15 0 1 0 0 0 -1 -1 0 0 5
5 20 -20 -15 -0 -0 -1 1 0 -0 0 -1 0 10 5
5 20 20 -15 -0 -0 -1 1 0 -0 -0 1 -0 10 5
2 25 -30 -15 -1 0 0 0 0 -1 0 1 0 5
2 25 30 -15 -1 0 0 0 0 -1 -0 -1 -0 5
5 -20 -20 -15 -0 -0 -1 -1 0 0 -0 -1 0 10 5
5 -20 20 -15 -0 -0 -1 0 1 -0 -1 0 -0 10 5
2 -30 -25 -15 0 1 0 0 0 -1 1 -0 -0 5
1 50 0 0 1 0 -0 0 0 1 0 -1 0 
2 20 -20 -20 0 0 1 1 0 -0 0 -1 -0 5
2 20 20 -20 0 0 1 1 0 -0 -0 1 0 5
1 0 0 0 -0 1 0 0 0 1 1 0 -0 
1 0 50 0 -0 1 0 0 0 1 1 0 -0 
2 -20 -20 -20 0 0 1 -1 -0 0 0 -1 0 5
2 -20 20 -20 0 0 1 0 1 0 -1 0 0 5
1 0 0 0 1 0 -0 0 0 1 0 -1 0 
2 30 -25 15 0 1 0 0 -0 1 -1 -0 0 5
5 20 -20 15 0 0 1 1 0 -0 0 -1 -0 10 5
5 20 20 15 0 0 1 1 0 -0 -0 1 0 10 5
2 25 -30 15 -1 0 0 0 0 1 0 1 -0 5
2 25 30 15 -1 0 0 0 0 1 -0 -1 0 5
5 -20 -20 15 0 0 1 -1 0 0 0 -1 0 10 5
5 -20 20 15 0 0 1 0 1 -0 -1 0 0 10 5
2 -30 -25 15 0 1 0 0 -0 1 1 0 -0 5
1 0 0 40 0 0 1 1 0 -0 -0 1 0 
1 0 0 600 0 0 1 1 0 -0 -0 1 0 
Triangulations 82
32 32 1 2.1316282072803e-14
30 -20 20 30 20 20 20 -30 20 29.6592582628907 -22.5881904510252 20 28.6602540378444 -25 20 27.0710678118655 -27.0710678118655 20 25 -28.6602540378444 20 22.5881904510252 -29.6592582628907 20 20 30 20 29.6592582628907 22.5881904510252 20 28.6602540378444 25 20 27.0710678118655 27.0710678118655 20 25 28.6602540378444 20 22.5881904510252 29.6592582628907 20 -20 -30 20 -20 30 20 -30 -20 20 -29.6592582628907 -22.5881904510252 20 -28.6602540378444 -25 20 -27.0710678118655 -27.0710678118655 20 -25 -28.6602540378444 20 -22.5881904510252 -29.6592582628907 20 -30 20 20 -22.5881904510252 29.6592582628907 20 -25 28.6602540378444 20 -27.0710678118655 27.0710678118655 20 -28.6602540378444 25 20 -29.6592582628907 22.5881904510252 20 -125 -125 20 -125 125 20 125 125 20 125 -125 20 155 105 155 145 145 95 154.659258262891 102.411809548975 153.660254037844 100 152.071067811865 97.9289321881345 150 96.3397459621556 147.588190451025 95.3407417371093 145 155 154.659258262891 147.588190451025 153.660254037844 150 152.071067811865 152.071067811865 150 153.660254037844 147.588190451025 154.659258262891 105 95 105 155 95 105 95.3407417371093 102.411809548975 96.3397459621556 100 97.9289321881345 97.9289321881345 100 96.3397459621556 102.411809548975 95.3407417371093 95 145 102.411809548975 154.659258262891 100 153.660254037844 97.9289321881345 152.071067811865 96.3397459621556 150 95.3407417371093 147.588190451025 0 0 0 250 250 250 250 0 31 1 32 31 30 16 21 20 29 19 29 20 22 21 29 18 29 19 15 22 29 17 29 18 30 28 27 30 23 28 30 17 23 30 29 17 26 30 27 32 6 7 32 7 8 32 8 3 32 3 15 32 15 29 25 30 26 5 6 32 24 30 25 4 5 32 1 4 32 16 30 24 31 2 1 31 10 2 31 11 10 31 12 11 31 13 12 31 14 13 31 9 14 31 16 9 
14 12 1 0.0427756931309485
30 -20 20 25 -20 15 28.7059047744874 -20 19.8296291314453 27.5 -20 19.3301270189222 26.4644660940673 -20 18.5355339059327 25.6698729810778 -20 17.5 25.1703708685547 -20 16.2940952255126 30 20 20 25 20 15 28.7059047744874 20 19.8296291314453 27.5 20 19.3301270189222 26.4644660940673 20 18.5355339059327 25.6698729810778 20 17.5 25.1703708685547 20 16.2940952255126 0 5 1.5707963267949 5 0.261799387799149 5 0.523598775598299 5 0.785398163397448 5 1.0471975511966 5 1.30899693899575 5 0 45 1.5707963267949 45 0.261799387799149 45 0.523598775598299 45 0.785398163397448 45 1.0471975511966 45 1.30899693899575 45 10 1 3 10 8 1 11 3 4 11 10 3 12 4 5 12 11 4 13 5 6 13 12 5 14 6 7 14 13 6 9 7 2 9 14 7 
49 72 1 0.114321182113411
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49 72 1 0.114321182113411
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14 12 1 0.0427756931309485
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14 12 1 0.0427756931309485
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49 72 1 0.114321182113409
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0101000
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0101000
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0101100
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0101000
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0101100
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0101100
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0101000
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0101100
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0101100
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0101100
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*
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0100000
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0100000
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0101000
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0101101
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0101000
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0101101
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0101000
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0101100
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0101101
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0101000
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0101000
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0101100
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0101101
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0101000
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0101100
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0101000
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6  335 77 18
6  336 80 18
0

0101000
-32 18 +36 18 *
Ed
 1e-07 1 1 0
1  140 0 0 250
2  286 65 0 0 250
2  287 40 0 0 250
6  337 76 16
6  338 49 0
2  288 37 17 0 250
6  339 77 18
6  340 81 18
0

0101000
-34 18 +32 18 *
Wi

0101100
-35 15 -33 15 +31 15 +30 15 *
Wi

0101100
-74 14 +69 14 -64 14 +59 14 -54 14 -48 14 -44 14 +40 14 *
Fa
0  1e-07 65 15
2  77
0101000
+29 0 +28 0 *
Ve
1e-07
0 0 600
0 0

0101101
*
Ed
 1e-07 1 1 0
1  69 0 220 600
2  137 31 0 220 600
2  138 32 0 220 600
6  341 78 11
6  342 80 11
0

0101000
+36 11 -26 0 *
Ve
1e-07
0 250 600
0 0

0101101
*
Ed
 1e-07 1 1 0
1  141 0 0 250
2  289 31 0 0 250
2  290 66 0 0 250
6  343 43 0
6  344 82 0
6  345 78 11
0

0101000
-24 0 +26 0 *
Ed
 1e-07 1 1 0
1  71 0 220 600
2  142 31 0 220 600
2  143 35 0 220 600
6  346 78 11
6  347 79 11
0

0101000
+37 11 -24 0 *
Wi

0101100
-25 10 -23 10 +22 10 +35 15 *
Fa
0  1e-07 31 10
2  78
0101000
+21 0 *
Ve
1e-07
250 250 600
0 0

0101101
*
Ed
 1e-07 1 1 0
1  86 0 220 600
2  175 37 0 220 600
2  176 35 0 220 600
6  348 79 11
6  349 81 11
0

0101000
+34 11 -19 0 *
Ed
 1e-07 1 1 0
1  142 0 0 250
2  291 35 0 0 250
2  292 66 0 0 250
6  350 58 0
6  351 82 0
6  352 79 11
0

0101000
-19 0 +24 0 *
Wi

0101100
-18 10 +17 10 +22 10 -33 15 *
Fa
0  1e-07 35 10
2  79
0101000
+16 0 *
Ve
1e-07
250 0 600
0 0

0101101
*
Ed
 1e-07 1 1 0
1  73 0 220 600
2  146 37 0 220 600
2  147 32 0 220 600
6  353 80 11
6  354 81 11
0

0101000
+32 11 -14 0 *
Ed
 1e-07 1 1 0
1  143 0 0 250
2  293 32 0 0 250
2  294 66 0 0 250
6  355 47 0
6  356 82 0
6  357 80 11
0

0101000
-14 0 +26 0 *
Wi

0101100
-13 10 +12 10 +25 10 -31 15 *
Fa
0  1e-07 32 10
2  80
0101000
+11 0 *
Ed
 1e-07 1 1 0
1  144 0 0 250
2  295 37 0 0 250
2  296 66 0 0 250
6  358 59 0
6  359 82 0
6  360 81 11
0

0101000
-19 0 +14 0 *
Wi

0101100
-13 10 -9 10 +18 10 +30 15 *
Fa
0  1e-07 37 10
2  81
0101000
+8 0 *
Wi

0101100
-23 0 -17 0 +9 0 +12 0 *
Fa
0  1e-07 66 0
2  82
0101000
+6 0 *
Sh

0101100
-197 0 -190 0 +168 0 +163 0 -160 10 +158 0 -151 14 -146 14 +141 14 +136 14 
-131 14 +126 14 +121 14 +118 14 +111 23 -106 14 +101 14 -96 23 +91 23 +86 14 
+81 14 -78 23 +71 14 +66 14 -61 14 -56 14 +51 14 -46 14 -41 14 -38 14 
-27 0 -20 0 +15 0 -10 0 +7 0 +5 10 *
So

0100000
+4 0 *
Co

0100000
+3 0 *
Co

1100000
+207 1 +2 9 *

+1 0 
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