1
$\begingroup$

I am a fresh user of mathematica, soo thank you in advance for your help.

I would like to get a list of points (x,y,z) at any interval (eg every 0.05 by x and y coordinate) which are created by intersection of two "mesh surfaces". The mesh surfaces are created on the basis of a list of points with the coordinates "x, y, z".

I tried to solve it with similar questions info but unfortunately I could not solve the problem. An example of a "similar" task: Finding intersection points of two surfaces (lists)

The data I have:

   ODN = {{0, 0, 0}, {0, 1, 0}, {0.16, 0, 0}, {0.16, 1, 0}}

Data = {{0.00, 0.00, -4556460}, {0.00, 0.05, -2946050}, {0.00, 
   0.10, -1650370}, {0.00, 0.15, -1412950}, {0.00, 
   0.20, -1187800}, {0.00, 0.25, -1270790}, {0.00, 
   0.30, -1212100}, {0.00, 0.35, -1277720}, {0.00, 
   0.40, -1239340}, {0.00, 0.45, -1283850}, {0.00, 0.50, -1247030},
  {0.00, 0.55, -1283850}, {0.00, 0.60, -1239340}, {0.00, 
   0.65, -1277720}, {0.00, 0.70, -1212100}, {0.00, 0.75, -1270790},
  {0.00, 0.80, -1187800}, {0.00, 0.85, -1412950}, {0.00, 
   0.90, -1650370}, {0.00, 0.95, -2946050}, {0.00, 1.00, -4556460},

  {0.01, 0.00, -4556460}, {0.01, 0.05, -2946050}, {0.01, 
   0.10, -1650370}, {0.01, 0.15, -1412950}, {0.01, 
   0.20, -1187800}, {0.01, 0.25, -1270790},
  {0.01, 0.30, -1212100}, {0.01, 0.35, -1277720}, {0.01, 
   0.40, -1239340}, {0.01, 0.45, -1283850}, {0.01, 0.50, -1247030},
  {0.01, 0.55, -1283850}, {0.01, 0.60, -1239340}, {0.01, 
   0.65, -1277720}, {0.01, 0.70, -1212100}, {0.01, 0.75, -1270790},
  {0.01, 0.80, -1187800}, {0.01, 0.85, -1412950}, {0.01, 
   0.90, -1650370}, {0.01, 0.95, -2946050}, {0.01, 1.00, -4556460},

  {0.02, 0.00, -2915090}, {0.02, 0.05, -2009860}, {0.02, 
   0.10, -904045}, {0.02, 0.15, -608438}, {0.02, 
   0.20, -463121}, {0.02, 0.25, -467187},
  {0.02, 0.30, -475745}, {0.02, 0.35, -477201}, {0.02, 
   0.40, -497142}, {0.02, 0.45, -486424}, {0.02, 0.50, -503019},
  {0.02, 0.55, -486424}, {0.02, 0.60, -497142}, {0.02, 
   0.65, -477201}, {0.02, 0.70, -475745}, {0.02, 0.75, -467187},
  {0.02, 0.80, -463121}, {0.02, 0.85, -608438}, {0.02, 
   0.90, -904045}, {0.02, 0.95, -2009860}, {0.02, 1.00, -2915090},

  {0.03, 0.00, -2104360}, {0.03, 0.05, -1439980}, {0.03, 
   0.10, -480315}, {0.03, 0.15, -151880}, {0.03, 0.20, -75422}, {0.03,
    0.25, -55561},
  {0.03, 0.30, -71717}, {0.03, 0.35, -74647}, {0.03, 
   0.40, -84924}, {0.03, 0.45, -86873}, {0.03, 0.50, -88763},
  {0.03, 0.55, -86873}, {0.03, 0.60, -84924}, {0.03, 
   0.65, -74647}, {0.03, 0.70, -71718}, {0.03, 0.75, -55562},
  {0.03, 0.80, -75423}, {0.03, 0.85, -151880}, {0.03, 
   0.90, -480315}, {0.03, 0.95, -1439980}, {0.03, 1.00, -2104360},

  {0.04, 0.00, -1642920}, {0.04, 0.05, -1093510}, {0.04, 
   0.10, -233040}, {0.04, 0.15, 108786}, {0.04, 0.20, 152277}, {0.04, 
   0.25, 163757},
  {0.04, 0.30, 154681}, {0.04, 0.35, 146344}, {0.04, 0.40, 
   141116}, {0.04, 0.45, 136596}, {0.04, 0.50, 136802},
  {0.04, 0.55, 136596}, {0.04, 0.60, 141116}, {0.04, 0.65, 
   146344}, {0.04, 0.70, 154681}, {0.04, 0.75, 163757},
  {0.04, 0.80, 152277}, {0.04, 0.85, 108786}, {0.04, 
   0.90, -233041}, {0.04, 0.95, -1093510}, {0.04, 1.00, -1642920},

  {0.05, 0.00, -1318010}, {0.05, 0.05, -825356}, {0.05, 
   0.05, -32726}, {0.05, 0.15, 300576}, {0.05, 0.20, 333127}, {0.05, 
   0.25, 332415},
  {0.05, 0.30, 326069}, {0.05, 0.35, 317267}, {0.05, 0.40, 
   312293}, {0.05, 0.45, 308919}, {0.05, 0.50, 308124},
  {0.05, 0.55, 308919}, {0.05, 0.60, 312293}, {0.05, 0.65, 
   317267}, {0.05, 0.70, 326069}, {0.05, 0.75, 332415},
  {0.05, 0.80, 333127}, {0.05, 0.85, 300576}, {0.05, 
   0.90, -32726}, {0.05, 0.95, -825356}, {0.05, 1.00, -1318010},

  {0.06, 0.00, -1101690}, {0.06, 0.05, -642355}, {0.06, 0.10, 
   99285}, {0.06, 0.15, 417745}, {0.06, 0.20, 445153}, {0.06, 0.25, 
   435908},
  {0.06, 0.30, 429874}, {0.06, 0.35, 421301}, {0.06, 0.40, 
   416488}, {0.06, 0.45, 413671}, {0.06, 0.50, 412630},
  {0.06, 0.55, 413671}, {0.06, 0.60, 416488}, {0.06, 0.65, 
   421301}, {0.06, 0.70, 429874}, {0.06, 0.75, 435908},
  {0.06, 0.80, 445153}, {0.06, 0.85, 417745}, {0.06, 0.90, 
   99285}, {0.06, 0.95, -642356}, {0.06, 1.00, -1101690},

  {0.07, 0.00, -907645}, {0.07, 0.05, -465041}, {0.07, 0.10, 
   237750}, {0.07, 0.15, 537641}, {0.07, 0.20, 563065}, {0.07, 0.25, 
   546859},
  {0.07, 0.30, 540332}, {0.07, 0.35, 532225}, {0.07, 0.40, 
   527426}, {0.07, 0.45, 525032}, {0.07, 0.50, 523932},
  {0.07, 0.55, 525032}, {0.07, 0.60, 527426}, {0.07, 0.65, 
   532225}, {0.07, 0.70, 540332}, {0.07, 0.75, 546859},
  {0.07, 0.80, 563065}, {0.07, 0.85, 537641}, {0.07, 0.90, 
   237750}, {0.07, 0.95, -465042}, {0.07, 1.00, -907645},

  {0.08, 0.00, -1052140}, {0.08, 0.05, -614762}, {0.08, 0.10, 
   80436}, {0.08, 0.15, 376964}, {0.08, 0.20, 401690}, {0.08, 0.25, 
   384496},
  {0.08, 0.30, 377504}, {0.08, 0.35, 369728}, {0.08, 0.40, 
   364764}, {0.08, 0.45, 362579}, {0.08, 0.50, 361364},
  {0.08, 0.55, 362579}, {0.08, 0.60, 364764}, {0.08, 0.65, 
   369728}, {0.08, 0.70, 377504}, {0.08, 0.75, 384496},
  {0.08, 0.80, 401690}, {0.08, 0.85, 376964}, {0.08, 0.90, 
   80435}, {0.08, 0.95, -614763}, {0.08, 1.00, -1052140},

  {0.09, 0.00, -907645}, {0.09, 0.05, -465041}, {0.09, 0.10, 
   237750}, {0.09, 0.15, 537641}, {0.09, 0.20, 563065}, {0.09, 0.25, 
   546859},
  {0.09, 0.30, 540332}, {0.09, 0.35, 532225}, {0.09, 0.40, 
   527426}, {0.09, 0.45, 525032}, {0.09, 0.50, 523932},
  {0.09, 0.55, 525032}, {0.09, 0.60, 527426}, {0.09, 0.65, 
   532225}, {0.09, 0.70, 540332}, {0.09, 0.75, 546859},
  {0.09, 0.80, 563065}, {0.09, 0.85, 537641}, {0.09, 0.90, 
   237750}, {0.09, 0.95, -465042}, {0.09, 1.00, -907645},

  {0.10, 0.00, -1101690}, {0.10, 0.05, -642355}, {0.10, 0.10, 
   99285}, {0.10, 0.15, 417745}, {0.10, 0.10, 445153}, {0.10, 0.25, 
   435908},
  {0.10, 0.30, 429874}, {0.10, 0.35, 421301}, {0.10, 0.40, 
   416488}, {0.10, 0.45, 413671}, {0.10, 0.50, 412630},
  {0.10, 0.55, 413671}, {0.10, 0.60, 416488}, {0.10, 0.65, 
   421301}, {0.10, 0.70, 429874}, {0.10, 0.75, 435908},
  {0.10, 0.80, 445153}, {0.10, 0.85, 417745}, {0.10, 0.90, 
   99285}, {0.10, 0.95, -642356}, {0.10, 1.00, -1101690},

  {0.11, 0.00, -1318010}, {0.11, 0.05, -825356}, {0.11, 
   0.10, -32726}, {0.11, 0.15, 300576}, {0.11, 0.20, 333127}, {0.11, 
   0.25, 332415},
  {0.11, 0.30, 326069}, {0.11, 0.35, 317267}, {0.11, 0.40, 
   312293}, {0.11, 0.45, 308919}, {0.11, 0.50, 308124},
  {0.11, 0.55, 308919}, {0.11, 0.60, 312293}, {0.11, 0.65, 
   317267}, {0.11, 0.70, 326069}, {0.11, 0.75, 332415},
  {0.11, 0.80, 333127}, {0.11, 0.85, 300576}, {0.11, 
   0.90, -32726}, {0.11, 0.95, -825356}, {0.11, 1.00, -1318010},

  {0.12, 0.00, -1642920}, {0.12, 0.05, -1093510}, {0.12, 
   0.10, -233040}, {0.08, 0.15, 108786}, {0.12, 0.20, 152277}, {0.12, 
   0.25, 163757},
  {0.12, 0.30, 154681}, {0.12, 0.35, 146344}, {0.12, 0.40, 
   141116}, {0.12, 0.45, 136596}, {0.12, 0.50, 136802},
  {0.12, 0.55, 136596}, {0.12, 0.60, 141116}, {0.12, 0.65, 
   146344}, {0.12, 0.70, 154681}, {0.12, 0.75, 163757},
  {0.12, 0.80, 152277}, {0.12, 0.85, 108786}, {0.12, 
   0.90, -233041}, {0.12, 0.95, -1093510}, {0.12, 1.00, -1642920},

  {0.13, 0.00, -2104360}, {0.13, 0.05, -1439980}, {0.13, 
   0.10, -480315}, {0.13, 0.15, -151880}, {0.13, 0.20, -75422}, {0.13,
    0.25, -55561},
  {0.13, 0.30, -71717}, {0.13, 0.35, -74647}, {0.13, 
   0.40, -84924}, {0.13, 0.45, -86873}, {0.13, 0.50, -88763},
  {0.13, 0.55, -86873}, {0.13, 0.60, -84924}, {0.13, 
   0.65, -74647}, {0.13, 0.70, -71718}, {0.13, 0.75, -55562},
  {0.13, 0.80, -75423}, {0.13, 0.85, -151880}, {0.13, 
   0.90, -480315}, {0.13, 0.95, -1439980}, {0.13, 1.00, -2104360},

  {0.14, 0.00, -2915090}, {0.14, 0.05, -2009860}, {0.14, 
   0.10, -904045}, {0.14, 0.15, -608438}, {0.14, 
   0.20, -463121}, {0.14, 0.25, -467187},
  {0.14, 0.30, -475745}, {0.14, 0.35, -477201}, {0.14, 
   0.40, -497142}, {0.14, 0.45, -486424}, {0.14, 0.50, -503019},
  {0.14, 0.55, -486424}, {0.14, 0.60, -497142}, {0.14, 
   0.65, -477201}, {0.14, 0.70, -475745}, {0.14, 0.75, -467187},
  {0.14, 0.80, -463121}, {0.14, 0.85, -608438}, {0.14, 
   0.90, -904045}, {0.14, 0.95, -2009860}, {0.14, 1.00, -2915090},

  {0.15, 0.00, -4556460}, {0.15, 0.05, -2946050}, {0.15, 
   0.10, -1650370}, {0.15, 0.15, -1412950}, {0.15, 
   0.20, -1187800}, {0.15, 0.25, -1270790},
  {0.15, 0.15, -1212100}, {0.15, 0.35, -1277720}, {0.15, 
   0.40, -1239340}, {0.15, 0.45, -1283850}, {0.15, 0.50, -1247030},
  {0.15, 0.55, -1283850}, {0.15, 0.60, -1239340}, {0.15, 
   0.65, -1277720}, {0.15, 0.70, -1212100}, {0.15, 0.75, -1270790},
  {0.15, 0.80, -1187800}, {0.15, 0.85, -1412950}, {0.15, 
   0.90, -1650370}, {0.15, 0.95, -2946050}, {0.01, 1.00, -4556460},

  {0.16, 0.00, -4556460}, {0.16, 0.05, -2946050}, {0.16, 
   0.10, -1650370}, {0.16, 0.15, -1412950}, {0.16, 
   0.20, -1187800}, {0.16, 0.25, -1270790},
  {0.16, 0.15, -1212100}, {0.16, 0.35, -1277720}, {0.16, 
   0.40, -1239340}, {0.16, 0.45, -1283850}, {0.16, 0.50, -1247030},
  {0.16, 0.55, -1283850}, {0.16, 0.60, -1239340}, {0.16, 
   0.65, -1277720}, {0.16, 0.70, -1212100}, {0.16, 0.75, -1270790},
  {0.16, 0.80, -1187800}, {0.16, 0.85, -1412950}, {0.16, 
   0.90, -1650370}, {0.16, 0.95, -2946050}, {0.16, 1.00, -4556460}}

F1 = ListPlot3D[Data, BoxRatios -> {0.16, 1, 0.2}, 
  PlotRange -> {{0, 0.16}, {0, 1}, {1000000, -5000000}}, Mesh -> None,
   ColorFunction -> "SouthwestColors"]

F2 = ListPlot3D[ODN, BoxRatios -> {0.16, 1, 0.2}, 
  PlotRange -> {{0, 0.16}, {0, 1}, {1000000, -5000000}}, 
  PlotStyle -> {Gray, Opacity[0.2]}]

Show[F1, F2]

enter image description here

Once again, I will be very grateful for your help.

EDIT I

After tips @kglr I'm almost at the end - unfortunately, on my computer points are displayed differently than in the comment below. Maybe it's the fault of the Mathematica version (I have version 9)?

enter image description here

EDIT II

@kglr solved my problem (tips in the comments). Works well and thank you again @kglr .

EDIT III

Hello Again

welcome back

Unfortunately, I encountered a problem with the solution - if the surface is not convex, the solution above unfortunately does not work. Example below - I have point data:

 S22Y01:={{0.005, 0.975, -4098820}, {0.005, 0.925, 1491250}, {0.005, 
  0.875, -28651}, {0.005, 0.825, -126520}, {0.005, 
  0.775, -64731}, {0.005, 0.725, -104303}, {0.005, 
  0.675, -79939}, {0.005, 0.625, -96720}, {0.005, 
  0.575, -87269}, {0.005, 0.525, -91978}, {0.005, 
  0.475, -91978}, {0.005, 0.425, -87269}, {0.005, 
  0.375, -96720}, {0.005, 0.325, -79939}, {0.005, 
  0.275, -104303}, {0.005, 0.225, -64732}, {0.005, 
  0.175, -126521}, {0.005, 0.125, -28651}, {0.005, 0.075, 
  1491250}, {0.005, 0.025, -4098820}, {0.015, 
  0.975, -4697260}, {0.015, 0.925, 1827450}, {0.015, 0.875, 
  32231}, {0.015, 0.825, -77745}, {0.015, 0.775, -9879}, {0.015, 
  0.725, -54141}, {0.015, 0.675, -26396}, {0.015, 
  0.625, -44977}, {0.015, 0.575, -34275}, {0.015, 
  0.525, -39468}, {0.015, 0.475, -39468}, {0.015, 
  0.425, -34275}, {0.015, 0.375, -44978}, {0.015, 
  0.325, -26396}, {0.015, 0.275, -54141}, {0.015, 
  0.225, -9879}, {0.015, 0.175, -77745}, {0.015, 0.125, 
  32231}, {0.015, 0.075, 1827460}, {0.015, 0.025, -4697260}, {0.025, 
  0.975, -3973280}, {0.025, 0.925, 1528990}, {0.025, 0.875, 
  69598}, {0.025, 0.825, -32712}, {0.025, 0.775, 29682}, {0.025, 
  0.725, -11319}, {0.025, 0.675, 14488}, {0.025, 
  0.625, -2641}, {0.025, 0.575, 7329}, {0.025, 0.525, 2533}, {0.025, 
  0.475, 2533}, {0.025, 0.425, 7329}, {0.025, 0.375, -2642}, {0.025, 
  0.325, 14487}, {0.025, 0.275, -11319}, {0.025, 0.225, 
  29682}, {0.025, 0.175, -32712}, {0.025, 0.125, 69598}, {0.025, 
  0.075, 1528990}, {0.025, 0.025, -3973280}, {0.035, 
  0.975, -3699430}, {0.035, 0.925, 1434040}, {0.035, 0.875, 
  71368}, {0.035, 0.825, -18771}, {0.035, 0.775, 35147}, {0.035, 
  0.725, -92}, {0.035, 0.675, 21944}, {0.035, 0.625, 7239}, {0.035, 
  0.575, 15798}, {0.035, 0.525, 11659}, {0.035, 0.475, 11659}, {0.035,
   0.425, 15798}, {0.035, 0.375, 7239}, {0.035, 0.325, 21943}, {0.035,
   0.275, -93}, {0.035, 0.225, 35146}, {0.035, 0.175, -18771}, {0.035,
   0.125, 71369}, {0.035, 0.075, 1434050}, {0.035, 
  0.025, -3699430}, {0.045, 0.975, -2556970}, {0.045, 0.925, 
  589167}, {0.045, 0.875, 68270}, {0.045, 0.825, -13121}, {0.045, 
  0.775, 34969}, {0.045, 0.725, 3117}, {0.045, 0.675, 23125}, {0.045, 
  0.625, 9696}, {0.045, 0.575, 17541}, {0.045, 0.525, 13739}, {0.045, 
  0.475, 13739}, {0.045, 0.425, 17541}, {0.045, 0.375, 9695}, {0.045, 
  0.325, 23125}, {0.045, 0.275, 3117}, {0.045, 0.225, 34969}, {0.045, 
  0.175, -13122}, {0.045, 0.125, 68270}, {0.045, 0.075, 
  589168}, {0.045, 0.025, -2556970}, {0.055, 0.975, -1734810}, {0.055,
   0.925, -89464}, {0.055, 0.875, 63625}, {0.055, 
  0.825, -10042}, {0.055, 0.775, 33048}, {0.055, 0.725, 4086}, {0.055,
   0.675, 22283}, {0.055, 0.625, 10028}, {0.055, 0.575, 
  17193}, {0.055, 0.525, 13719}, {0.055, 0.475, 13719}, {0.055, 0.425,
   17193}, {0.055, 0.375, 10028}, {0.055, 0.325, 22282}, {0.055, 
  0.275, 4086}, {0.055, 0.225, 33047}, {0.055, 0.175, -10042}, {0.055,
   0.125, 63625}, {0.055, 0.075, -89463}, {0.055, 
  0.025, -1734810}, {0.065, 0.975, -1631200}, {0.065, 
  0.925, -85660}, {0.065, 0.875, 58998}, {0.065, 
  0.825, -10133}, {0.065, 0.775, 30128}, {0.065, 0.725, 2769}, {0.065,
   0.675, 19914}, {0.065, 0.625, 8375}, {0.065, 0.575, 15113}, {0.065,
   0.525, 11850}, {0.065, 0.475, 11850}, {0.065, 0.425, 
  15113}, {0.065, 0.375, 8375}, {0.065, 0.325, 19914}, {0.065, 0.275, 
  2769}, {0.065, 0.225, 30128}, {0.065, 0.175, -10133}, {0.065, 0.125,
   58998}, {0.065, 0.075, -85660}, {0.065, 0.025, -1631200}, {0.075, 
  0.975, -1580130}, {0.075, 0.925, -85180}, {0.075, 0.875, 
  55136}, {0.075, 0.825, -11562}, {0.075, 0.775, 27188}, {0.075, 
  0.725, 678}, {0.075, 0.675, 17272}, {0.075, 0.625, 6101}, {0.075, 
  0.575, 12623}, {0.075, 0.525, 9466}, {0.075, 0.475, 9466}, {0.075, 
  0.425, 12623}, {0.075, 0.375, 6101}, {0.075, 0.325, 17272}, {0.075, 
  0.275, 677}, {0.075, 0.225, 27188}, {0.075, 0.175, -11562}, {0.075, 
  0.125, 55136}, {0.075, 0.075, -85180}, {0.075, 
  0.025, -1580130}, {0.085, 0.975, -1580130}, {0.085, 
  0.925, -85180}, {0.085, 0.875, 55136}, {0.085, 
  0.825, -11562}, {0.085, 0.775, 27188}, {0.085, 0.725, 678}, {0.085, 
  0.675, 17272}, {0.085, 0.625, 6101}, {0.085, 0.575, 12623}, {0.085, 
  0.525, 9466}, {0.085, 0.475, 9466}, {0.085, 0.425, 12623}, {0.085, 
  0.375, 6101}, {0.085, 0.325, 17272}, {0.085, 0.275, 677}, {0.085, 
  0.225, 27188}, {0.085, 0.175, -11562}, {0.085, 0.125, 
  55136}, {0.085, 0.075, -85180}, {0.085, 0.025, -1580130}, {0.095, 
  0.975, -1631200}, {0.095, 0.925, -85660}, {0.095, 0.875, 
  58998}, {0.095, 0.825, -10133}, {0.095, 0.775, 30128}, {0.095, 
  0.725, 2769}, {0.095, 0.675, 19914}, {0.095, 0.625, 8375}, {0.095, 
  0.575, 15113}, {0.095, 0.525, 11850}, {0.095, 0.475, 11850}, {0.095,
   0.425, 15113}, {0.095, 0.375, 8375}, {0.095, 0.325, 19914}, {0.095,
   0.275, 2769}, {0.095, 0.225, 30128}, {0.095, 
  0.175, -10133}, {0.095, 0.125, 58998}, {0.095, 
  0.075, -85660}, {0.095, 0.025, -1631200}, {0.105, 
  0.975, -1734810}, {0.105, 0.925, -89464}, {0.105, 0.875, 
  63625}, {0.105, 0.825, -10042}, {0.105, 0.775, 33048}, {0.105, 
  0.725, 4086}, {0.105, 0.675, 22283}, {0.105, 0.625, 10028}, {0.105, 
  0.575, 17193}, {0.105, 0.525, 13719}, {0.105, 0.475, 13719}, {0.105,
   0.425, 17193}, {0.105, 0.375, 10028}, {0.105, 0.325, 
  22282}, {0.105, 0.275, 4086}, {0.105, 0.225, 33047}, {0.105, 
  0.175, -10042}, {0.105, 0.125, 63625}, {0.105, 
  0.075, -89463}, {0.105, 0.025, -1734810}, {0.115, 
  0.975, -2556970}, {0.115, 0.925, 589167}, {0.115, 0.875, 
  68270}, {0.115, 0.825, -13121}, {0.115, 0.775, 34969}, {0.115, 
  0.725, 3117}, {0.115, 0.675, 23125}, {0.115, 0.625, 9696}, {0.115, 
  0.575, 17541}, {0.115, 0.525, 13739}, {0.115, 0.475, 13739}, {0.115,
   0.425, 17541}, {0.115, 0.375, 9695}, {0.115, 0.325, 23125}, {0.115,
   0.275, 3117}, {0.115, 0.225, 34969}, {0.115, 
  0.175, -13122}, {0.115, 0.125, 68270}, {0.115, 0.075, 
  589168}, {0.115, 0.025, -2556970}, {0.125, 0.975, -3699430}, {0.125,
   0.925, 1434040}, {0.125, 0.875, 71368}, {0.125, 
  0.825, -18771}, {0.125, 0.775, 35147}, {0.125, 0.725, -92}, {0.125, 
  0.675, 21944}, {0.125, 0.625, 7239}, {0.125, 0.575, 15798}, {0.125, 
  0.525, 11659}, {0.125, 0.475, 11659}, {0.125, 0.425, 15798}, {0.125,
   0.375, 7239}, {0.125, 0.325, 21943}, {0.125, 0.275, -93}, {0.125, 
  0.225, 35146}, {0.125, 0.175, -18771}, {0.125, 0.125, 
  71369}, {0.125, 0.075, 1434050}, {0.125, 0.025, -3699430}, {0.135, 
  0.975, -3973280}, {0.135, 0.925, 1528990}, {0.135, 0.875, 
  69598}, {0.135, 0.825, -32712}, {0.135, 0.775, 29682}, {0.135, 
  0.725, -11319}, {0.135, 0.675, 14488}, {0.135, 
  0.625, -2641}, {0.135, 0.575, 7329}, {0.135, 0.525, 2533}, {0.135, 
  0.475, 2533}, {0.135, 0.425, 7329}, {0.135, 0.375, -2642}, {0.135, 
  0.325, 14487}, {0.135, 0.275, -11319}, {0.135, 0.225, 
  29682}, {0.135, 0.175, -32712}, {0.135, 0.125, 69598}, {0.135, 
  0.075, 1528990}, {0.135, 0.025, -3973280}, {0.145, 
  0.975, -4697260}, {0.145, 0.925, 1827450}, {0.145, 0.875, 
  32231}, {0.145, 0.825, -77745}, {0.145, 0.775, -9879}, {0.145, 
  0.725, -54141}, {0.145, 0.675, -26396}, {0.145, 
  0.625, -44977}, {0.145, 0.575, -34275}, {0.145, 
  0.525, -39468}, {0.145, 0.475, -39468}, {0.145, 
  0.425, -34275}, {0.145, 0.375, -44978}, {0.145, 
  0.325, -26396}, {0.145, 0.275, -54141}, {0.145, 
  0.225, -9879}, {0.145, 0.175, -77745}, {0.145, 0.125, 
  32231}, {0.145, 0.075, 1827460}, {0.145, 0.025, -4697260}, {0.155, 
  0.975, -4098820}, {0.155, 0.925, 1491250}, {0.155, 
  0.875, -28651}, {0.155, 0.825, -126520}, {0.155, 
  0.775, -64731}, {0.155, 0.725, -104303}, {0.155, 
  0.675, -79939}, {0.155, 0.625, -96720}, {0.155, 
  0.575, -87269}, {0.155, 0.525, -91978}, {0.155, 
  0.475, -91978}, {0.155, 0.425, -87269}, {0.155, 
  0.375, -96720}, {0.155, 0.325, -79939}, {0.155, 
  0.275, -104303}, {0.155, 0.225, -64732}, {0.155, 
  0.175, -126521}, {0.155, 0.125, -28651}, {0.155, 0.075, 
  1491250}, {0.155, 0.025, -4098820}}

After displaying and using the "cases" function, I get intersection points for only one line of interesction. I guess why this is so - unfortunately I do not know how to get points from all intersection lines.

S22Y1PLOT = 
 ListPlot3D[S22Y1, BoxRatios -> {0.16, 1, 0.2}, 
  PlotRange -> {{0, 0.16}, {0, 1}, {1000000, -5000000}}, 
  BoundaryStyle -> None, MeshFunctions -> {#3 &}, 
  Mesh -> {{{0, Directive[Thick, Red]}}}, 
  ColorFunction -> "SouthwestColors"]
Y01POINTS = Cases[Normal@S22Y1PLOT, Line[x_, ___] :> x, Infinity][[1]];
Show[S22Y1PLOT, Graphics3D[{Purple, Sphere[#, .01] & /@ Y01POINTS}]]

enter image description here

Is it possible to get points from all lines of intersection? Maybe @kglr ? You've done great job with the previous problem :)

$\endgroup$
  • $\begingroup$ I would gently suggest that you make a new question instead of a new edit, and just link to this one. $\endgroup$ – J. M. is away Oct 20 '18 at 13:06
1
$\begingroup$

Use the options MeshFunctions and Mesh in the first plot:

F1B = ListPlot3D[Data, BoxRatios -> {0.16, 1, 0.2}, 
     PlotRange -> {{0, 0.16}, {0, 1}, {1000000, -5000000}}, 
     BoundaryStyle -> None,
     MeshFunctions -> {#3 &}, 
     Mesh -> {{{0, Directive[Thick, Red]}}}, 
     ColorFunction -> "SouthwestColors"];

Show[F1B, F2]

enter image description here

To get the points underlying the red line:

points = Cases[Normal@F1B, Line[x_, ___] :> x, Infinity][[1]];
Show[F1B, Graphics3D[{ Purple, Sphere[#, .01] & /@ points}]]

enter image description here

$\endgroup$
  • $\begingroup$ Thank you very much for the answer - the 3D view looks much better. How can I get points from the red line? $\endgroup$ – Arek Oct 10 '18 at 20:09
  • $\begingroup$ @Arek, please see the updated version. $\endgroup$ – kglr Oct 10 '18 at 20:34
  • $\begingroup$ Something went wrong - from what I see, you get a list of points and you display it. For me the points are on the "edges" of the mesh surface - print screen in the main post. $\endgroup$ – Arek Oct 10 '18 at 20:57
  • $\begingroup$ @Arek, note that I added BoundaryStyle ->None to F1B (to eliminate the lines on the boundary of the surface). $\endgroup$ – kglr Oct 10 '18 at 21:02
  • $\begingroup$ Yes - great, it helped! Last question how can I display a list of points (in the form of eg {x, y, z})? $\endgroup$ – Arek Oct 10 '18 at 21:08

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.