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"Geodesic sphere" A better sphere() for OpenSCAD ?

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bassklampfe

"Geodesic sphere" A better sphere() for OpenSCAD ?

I am always disappointed with the spheres in OpenSCAL. With low $fn the look
- well - not so pretty, especially for small sizes. But even with high $fn
they always have a flat spot on the top/bottom and you can easily
distinguish a rotated sphere from a not rotated.

Has anyone tried to create code for a Geodesic polyhedron
<https://en.wikipedia.org/wiki/Geodesic_polyhedron> ? What I see from the
wikipedia screens, I like it very much. Even the "truncated icosahedron"
already looks much better than a sphere(r=2);

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nophead

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

I think that has been coded but simply rotate_extruding a semicircle with $fn set to a multiple of four gives a sphere with points on the poles. See https://github.com/nophead/NopSCADlib#Sphere

I override the built in sphere with this to get hulls with the correct dimensions when the spheres are placed in the corners.

On Sat, 30 Jan 2021 at 07:43, bassklampfe <[hidden email]> wrote:

I am always disappointed with the spheres in OpenSCAL. With low $fn the look
- well - not so pretty, especially for small sizes. But even with high $fn
they always have a flat spot on the top/bottom and you can easily
distinguish a rotated sphere from a not rotated.

Has anyone tried to create code for a Geodesic polyhedron
<https://en.wikipedia.org/wiki/Geodesic_polyhedron> ? What I see from the
wikipedia screens, I like it very much. Even the "truncated icosahedron"
already looks much better than a sphere(r=2);

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cacb

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

In reply to this post by bassklampfe

On 2021-01-30 08:43, bassklampfe wrote:

> I am always disappointed with the spheres in OpenSCAL. With low $fn the
> look
> - well - not so pretty, especially for small sizes. But even with high
> $fn
> they always have a flat spot on the top/bottom and you can easily
> distinguish a rotated sphere from a not rotated.
>
> Has anyone tried to create code for a Geodesic polyhedron
> <https://en.wikipedia.org/wiki/Geodesic_polyhedron> ? What I see from
> the
> wikipedia screens, I like it very much. Even the "truncated
> icosahedron"
> already looks much better than a sphere(r=2);

Write some OpenSCAD code with spheres, save it to an .scad file and run
it with AngelCAD. You will then get a geodesic sphere mesh.

sphere(r=2) usually means 2mm radius and that is very small, it will not
be pretty regardless of mesh type. Try a larger radius first.

Carsten Arnholm

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nophead

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

Does a geodesic sphere have vertices on the 6 semi-axis lines? I think that is a requirement when using spheres to make accurate corners.

There is no reason why a small sphere can't be pretty if $fa is set.

On Sat, 30 Jan 2021 at 08:13, <[hidden email]> wrote:

On 2021-01-30 08:43, bassklampfe wrote:
> I am always disappointed with the spheres in OpenSCAL. With low $fn the
> look
> - well - not so pretty, especially for small sizes. But even with high
> $fn
> they always have a flat spot on the top/bottom and you can easily
> distinguish a rotated sphere from a not rotated.
>
> Has anyone tried to create code for a Geodesic polyhedron
> <https://en.wikipedia.org/wiki/Geodesic_polyhedron> ? What I see from
> the
> wikipedia screens, I like it very much. Even the "truncated
> icosahedron"
> already looks much better than a sphere(r=2);

Write some OpenSCAD code with spheres, save it to an .scad file and run
it with AngelCAD. You will then get a geodesic sphere mesh.

sphere(r=2) usually means 2mm radius and that is very small, it will not
be pretty regardless of mesh type. Try a larger radius first.

Carsten Arnholm

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cacb

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

On 2021-01-30 09:24, nop head wrote:
> Does a geodesic sphere have vertices on the 6 semi-axis lines?

No.

> I think
> that is a requirement when using spheres to make accurate corners.

The question was whether anyone has tried to create code for a Geodesic
polyhedron. The answer is yes.

Carsten Arholm

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Ronaldo

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

In reply to this post by nophead

nop head <[hidden email]> wrote:

Does a geodesic sphere have vertices on the 6 semi-axis lines? I think that is a requirement when using spheres to make accurate corners.

Yes, if it's based on the octahedron. The geodesic sphere based on the icosahedron doesn't have that property. In BOSL2, you may find a module called spheroid that is able to draw geodesic spheres in both styles.

https://github.com/revarbat/BOSL2/wiki/shapes.scad#spheroid

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bassklampfe

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

In reply to this post by bassklampfe

Ok, for some reasons my replies via email programm did not make it into the
mailing list.
I will copy them here

------------------------
Ok, in the meantime I have found https://www.thingiverse.com/thing:1484333,
which does a pretty good job for me.
Even if written in OpenSCAD, it's pretty fast and does exactly what I want.
I've added some minor tweaks, because there was a numeric overflow on small
r's, but basically it's doing all I want.
Thanks for your replies.

------------------------
I believe this picture explains, why I like geodesic sphere.
Both rendered with r=5 and $fn=50;
<http://forum.openscad.org/file/t2988/test-geodesic_sphere.png>
-8<-cut-here-8<-cut-here-8<-cut-here-8<-cut-here-8<-cut-here-8<-cut-here-
radius=5;
$fn=50;

use <geodesic_sphere.scad>

color("darkgrey")translate([5,-10,0])rotate([90,0,0])linear_extrude(1)text("OpenSCAD",size=5,halign="left");
color("darkgrey")translate([-5,-10,0])rotate([90,0,0])linear_extrude(1)text("geodesic",size=5,halign="right");
scale(10/radius)
{
color("LightGreen") translate([-radius, 0, radius])
geodesic_sphere(radius);
color("LightBlue") translate([radius, 0,radius]) sphere(radius);
color("red") translate([+radius, 2*radius,radius])
difference(){geodesic_sphere(radius);sphere(radius);}
color("yellow") translate([-radius, 2*radius,radius])
difference(){sphere(radius);geodesic_sphere(radius);}
}
-8<-cut-here-8<-cut-here-8<-cut-here-8<-cut-here-8<-cut-here-8<-cut-here-

------
Even in PrusaSlicer you can see the difference (see attached Picture)
<http://forum.openscad.org/file/t2988/spheres-in-slicer.png>
Ok folks, thank you for listening, for me this topic can be closed...

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RevarBat

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

In reply to this post by Ronaldo

In BOSL2, the command `spheroid(d=100, type=“octa”);` will make a sphere based on a subdivided octahedron, which guarantees maxima/minima on all three axes. With type=“icosa”, it subdivides an icosahedron, but maxima/minima on axes is only guaranteed for $fn that are modulo to both 4 and 5.

-Revar

On Jan 30, 2021, at 1:30 AM, Ronaldo Persiano <[hidden email]> wrote:

nop head <[hidden email]> wrote:
Does a geodesic sphere have vertices on the 6 semi-axis lines? I think that is a requirement when using spheres to make accurate corners.

Yes, if it's based on the octahedron. The geodesic sphere based on the icosahedron doesn't have that property. In BOSL2, you may find a module called spheroid that is able to draw geodesic spheres in both styles.

https://github.com/revarbat/BOSL2/wiki/shapes.scad#spheroid

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MichaelAtOz

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

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In reply to this post by bassklampfe

> Ok, for some reasons my replies via email programm did not make it into the
> mailing list.
> I will copy them here

Because you didn't use the address you subscribed with.
ie use the ...-openscad@ address and they make it, other addresses get discarded.

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bassklampfe

Re: "Geodesic sphere" A better sphere() for OpenSCAD ?

Am 31.01.21 um 03:22 schrieb MichaelAtOz:
> Because you didn't use the address you subscribed with. ie use the
> ...-openscad@ address and they make it, other addresses get discarded.
Yes, thanks. I figured this out by myself now. Thank you anyway. Regards.

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