TheSwamp
Code Red => AutoLISP (Vanilla / Visual) => Topic started by: well20152016 on April 06, 2019, 10:56:09 PM

Known: 1. Radius of the sphere
2. Side Length of Hexagon or Pentagon (Approximate Value)

If you want lisp, you should firstly analyze construction  it's called truncated icosahedron...
Here is my video with construction :
https://www.youtube.com/watch?v=V0D6XcjeoQA
HTH., M.R.

Thank you! It's just a situation! I wonder if LISP can handle more situations?

If you can work out the maths then theorecticaly anything is possible. There is a mathmatical theorem for the soccer ball.

The surface of a football ball ball ball is a sphere made up of 12 regular pentagons and 20 regular hexagons.

dwg

You generated different ball then I was expecting... It's not based on truncated icosahedron... I tried to get 3DSOLID, but some lines aren't touching exactly with each others and beside all this, to make 3DSOLID those lines have to make exact planar polygons  sorry it was close  my routine recognized some polygons and converted them to regions, but major of them were not processed, so final surfsculpt was not good...

All I found was this :
https://patents.google.com/patent/US3696566
It's sphere constructed of 12 regular pentagons and 60 irregular hexagons... There are variants with 12 pentagons and 200 hexagons and 12 pentagons and 620 hexagons... Pentagon centers are positioned always at vertices of corresponding regular icosahedron...

There is also this picture  extended dodecahedra...

Thank you. I'm studying, too.

It's sphere constructed of 11 regular pentagons and 80 irregular hexagons.

Well it's almost the same as your first example... I would say 12 regular pentagons and 80 irregular hexagons... I guess I counted wrong  thought 60 hexagons... But the same  no success in converting 3d lines to 3d solid... Only pentagons were good, but then again I think that not all were processed  not even single hexagon is good  you have to check their planar characteristics... Still not perfect...

Are there any programs that can automatically generate sphere boxes?

Look I've counted your last example  it seems 12 regular pentagons and 110 irregular hexagons... I'll attach my counted version  you can check if you want...
To answer your question : there are lisps for geodesic spheres and also there are lisps for all kind of dense covered spheres with regular triangles, quads, pentagons and hexagons based on uniform polyhedrons...
M.R.

Here is my version of the same ball  12 pentagons + 110 hexagons... I constructed based on dodecahedron  the problem still exist  we don't know ratio : edge of pentagon/hexagon : radius of sphere... I almost did it visually, but then the problem occurred when 2 cups had to be connected (bottom and top cup)... It seems that edge of pentagon should be little bigger, but we don't know how to determine that accurately...
Regards, M.R.
[EDIT : DWG removed due to lack of interest  not even single download up to now... See date of edit below post...]

Here, I scaled pentagons with help of small routine, but the best I could get is 220 trapezoids instead of haxagons to finally make 3DSOLID... It looks very difficult to make it from real planar haxagons...
[EDIT : DWG removed due to lack of interest  not even single download up to now... See date of edit below post...]

What I meant to say 12 regular pentagons, 20 irregular hexagons and 180 trapezoids...
(You are my density... What I meant to say, my destiny...)
Where did I hear this, I wonder...
M.R.
8)

For ruggby, american football... Just joking...
:2funny:

Very cool stuff. :)

Very cool stuff. :)
I haven't checked video, but I made presentation of redesign of soccer ball...
https://youtu.be/a8uUK7N1iU
Of course, thanks for pushing me to do it... @well20152016 was the one that deserves gratitude too...
M.R.

Another video, now 3D MODEL of HOUSE based on SOCCER BALL design... Don't quite know for materials, but all faces are planar, so it could be from glass or something flat... It could be very simple, but could be also with larger scales...
https://youtu.be/lf0aIs_lnWo
M.R.

This polyhedron has 12 pentagons and 50 quads+triangles... I don't know how Langner sphere is constructed with 12 pentagons and 60 hexagons  this must be some kind of magic I can't imagine...
https://www.google.com/search?client=firefoxbd&q=small+rhombicosidodecahedron

thank!