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Tetgen compiled software program for use with Wings 3D

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  • Retro LadRetro Lad Posts: 471
    edited June 2019

    Tons of helpful imagery on that website for reference in Blender, but as far as "recreational mathematics" goes forget it in my case.

    3DCoat is a bit expensive, as well as a great modeling program named Moi, but they would both be very useful for these kinds of geometric models. With 3DCoat you could just kind of carve out the designs, and with Moi you could build the models using it's great ability to make models using "line drawing".

    http://moi3d.com/

     

     

     

    Post edited by Retro Lad on
  • Retro LadRetro Lad Posts: 471

    I found another "Gyroid" making video. Do any of you know what software program he is using at the beginning of the video; is it Abode Illustrator?

    "Creating a Gyroid"
    https://www.youtube.com/watch?v=V-ZaqQWq2f8

  • WendyLuvsCatzWendyLuvsCatz Posts: 40,042
    FlashGarcia said:

    I found another "Gyroid" making video. Do any of you know what software program he is using at the beginning of the video; is it Abode Illustrator?

    "Creating a Gyroid"
    https://www.youtube.com/watch?v=V-ZaqQWq2f8

    He is using Solidworks and practically modeling it from scratch

    you could actually do that you just need interlocking bits you can duplicate, replicate, instance

  • Retro LadRetro Lad Posts: 471
    edited June 2019

    Wendy,

    It seems that overall Blender is the best program for this kind of thing. The Blender "Gyroid" making videos use duplicate, replicate, instance, controls and the object Gryoid model that I made with Mathmod opened quickly in Blender. It also loaded up quickly in Daz Studio, and Carrara.

    Mathod uses "formulas" to create it's geometric models and the "formulas" can be modified by the user.

    I attached a screen shot of a Mathmod gyroid object file loaded up in Carrara

    Carrara and a Gyroid object from Mathmod.JPG
    1366 x 768 - 198K
    Post edited by Retro Lad on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    I have just found, that in Blender 2.80 they have increased number of presets for XYZ surface.

    Now I need to find parametric equation for the gyroid.

    image

    image

    xyzSurface.jpg
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    xyzSurface3.jpg
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    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    More links to the math behind gyroid:

    https://www.mathcurve.com/surfaces.gb/Gyroide/sdarticle gyroid.pdf

    http://www.msri.org/publications/sgp/jim/geom/surface/index.html

    https://plus.maths.org/content/meet-gyroid

    https://en.wikipedia.org/wiki/Gyroid

    https://en.wikipedia.org/wiki/Elliptic_integral

    https://wewanttolearn.wordpress.com/2016/03/17/triply-periodic-minimal-surfaces-_topology/

     

    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    Beauty of the Math - Catalan object rendered in Daz Studio iray:

    image

    catalan02pic01.jpg
    1280 x 1080 - 405K
    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    Another one - based on Enneper's surface:

    image

    enneper08pic01.jpg
    1280 x 1080 - 459K
    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    A shell from Blender rendered in Daz Studio:

    image

    shell03pic02.jpg
    1280 x 1080 - 277K
    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    List of XYZ math functions in Blender:

    https://archive.blender.org/wiki/index.php/Extensions:2.6/Py/Scripts/Add_Mesh/Add_3d_Function_Surface/

    and further information:

    https://blender.stackexchange.com/questions/63697/how-can-i-generate-an-object-from-a-mathematical-function/63706

    and math functions possible to use:

    https://krishenning.com/category/math-functions-xyz/

    http://www.econym.demon.co.uk/isotut/xref.htm

    http://www.econym.demon.co.uk/isotut/real.htm#heart1

    I have used as X, Y an Z

    (u/6.28)*cos(5*u)*(1+cos(v))
    (u/6.28)*sin(5*u)*(1+cos(v))
    (u/6.28)*sin(v)+(4*(u/6.28)**2)

     

    Post edited by Artini on
  • WendyLuvsCatzWendyLuvsCatz Posts: 40,042
    Artini said:

    A shell from Blender rendered in Daz Studio:

    image

    If you want shells there is Whelk

    https://sourceforge.net/projects/whelk/

  • WendyLuvsCatzWendyLuvsCatz Posts: 40,042

    And others

    http://www.neolithicsphere.com/index.htm

  • ArtiniArtini Posts: 10,302
    edited June 2019

    Thanks, Wendy. I just explore possibilities with mathematical formulas in Blender.

    Below is another Blender creation rendered in Daz Studio.

    image

    Dini05pic08rs.jpg
    1280 x 1080 - 511K
    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    Another interesting add-on included in Blender is Discombobulator.

    Below is Daz Studio render of the bolt treated with it.

    It can also add some other objects - have to learn myself that.

    image

    bolt04pic01.jpg
    1280 x 1080 - 287K
    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    One more example, applied to twisted torus.

    image

    torus02pic01.jpg
    1280 x 1080 - 352K
    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    Combining the add-on with the previous techniques:

    image

    solid08pic01.jpg
    1280 x 1080 - 320K
    Post edited by Artini on
  • Retro LadRetro Lad Posts: 471
    edited June 2019

    Mathmod has copy, paste, and editable equations/formulas that are listed for each model. But I doubt they would do anything if copied and pasted into Blender or Carrara's Formula options unless they were modified.

    I watched a series of Mathmod videos and it is easy for "math challenged" persons (hah, ha) to merely copy, paste, and edit, a few lines of code to create parameter dials to alter the shapes, somewhat, of many models.

    Not much can be done with a Gyroid Lattice using that method, but I did find a way to multiply the size of a Gyroid Lattice, in Mathmod, so that an animation can be done inside of it moving about through the holes.

     

     

     

    Matmod and Gyroid Lattice.JPG
    1366 x 768 - 227K
    Post edited by Retro Lad on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    I have tried MathMod on Linux, but all of the menus was blank, so I could not see, how to export from it.

    Will try it in Windows, then. For Blender we need the equations dependent on u and v, but not x, y, z.

    I think, they are called parametric equations, or something like that.

    Have you find any other math equation/formula or even name of it, which even better depict marrow bone?

     

    Post edited by Artini on
  • ArtiniArtini Posts: 10,302

    Never mind, just found it. It is called: a hyperboliod representation. https://www.ncbi.nlm.nih.gov/pubmed/12870579

     

  • ArtiniArtini Posts: 10,302
    edited June 2019

    Another object created in Blender and then rendered in Daz Studio:

    image

    image

    BeautySphere03pic02.jpg
    1280 x 1080 - 567K
    BeautySphere03pic01.jpg
    1280 x 1080 - 675K
    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    One more Blender creation: Ridged Torus with Discombobulator treatment and some polygons manually removed, to show inside of it.

    image

    RidgedTorus07pic01.jpg
    1280 x 1080 - 334K
    Post edited by Artini on
  • Retro LadRetro Lad Posts: 471

    Artini,

    Have you tried using boolean operations with the Crack-It plugin for Blender? Maybe it's possible to hollow out a cube using those rock shapes as subtraction, to end up with a cube that looks cavernous, or swiss cheese-like inside out it. Maybe it could resemble what the attached picture looks like. Maybe, maybe not.

    spongy_texture.jpg
    207 x 180 - 29K
  • ArtiniArtini Posts: 10,302
    edited June 2019

    Yes, I have to try more, but recently all my attempts ends up with the wireframe...

    image

    box101pic01.jpg
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    Post edited by Artini on
  • ArtiniArtini Posts: 10,302
    edited June 2019

    Boolean modifier in Blender and its Difference preset leads to this shape, swiss cheese like.

    I will explore it more. Rendered in Daz Studio iray with Noise Perlin Glossy customized shader.

    image

    cube18pic04.jpg
    1280 x 1080 - 324K
    Post edited by Artini on
  • Retro LadRetro Lad Posts: 471

    I bought a new desktop computer, on credit of course, and with it's current video card I will finally be able to open up Blender 2.8 in it. But it will be a while before I get the whole thing set up and running and learn how to use Windows 10, which I have been avoiding like the plague.

    I was thinking of using a large mesh grid of cubes, and in each cube placing an oblong distorted sphere shape, and once all the cubes are filled doing a boolean subtraction of the ovad spheres to create a large spongey hollowed out effect for the entire mesh. Tedious work, but it could be worth it.

  • WendyLuvsCatzWendyLuvsCatz Posts: 40,042
    FlashGarcia said:

    I bought a new desktop computer, on credit of course, and with it's current video card I will finally be able to open up Blender 2.8 in it. But it will be a while before I get the whole thing set up and running and learn how to use Windows 10, which I have been avoiding like the plague.

    I was thinking of using a large mesh grid of cubes, and in each cube placing an oblong distorted sphere shape, and once all the cubes are filled doing a boolean subtraction of the ovad spheres to create a large spongey hollowed out effect for the entire mesh. Tedious work, but it could be worth it.

    Some of the Mandelbulber fractals have a lattice boney look to them too, I just find as a not mathematically inclined person my random parameter sliding just ends up with nothing 

  • Retro LadRetro Lad Posts: 471

    Wendy_Carrara,

    With my new desktop I will finally be able to create images, and explore parameter settings,  with both Mandlebulber, and Mandelbulb. I couldn't do that before because both my laptop and previous desktop were too slow. Carrara scenes too will render fast now, with the new desktop.

  • ArtiniArtini Posts: 10,302

    Great, that you got a new computer. Hope to see more of your creations, then.

     

  • WendyLuvsCatzWendyLuvsCatz Posts: 40,042

    Hey Flash you might even want to install and try DAZ Studio then too cheeky

  • Retro LadRetro Lad Posts: 471
    edited June 2019

    Thanks Wendy and Artini,

    I'll give Daz's Iray a go, but I still prefer Carrara's render engine look. I don't know if Bryce will work any faster than it already has on my older computers.

    Unless World War 3 breaks out this weekend (hah, ha) I'll be up and running and stumbling and hobbling by the beginning of the week with my new computer.

    Post edited by Retro Lad on
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