spacing dots along a path
BOSL2 implements this using the "Golden Spiral Method". You could use
that...or read the code.
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-sphere_copies
On Tue, Feb 28, 2023 at 2:30 PM Jordan Brown openscad@jordan.maileater.net
wrote:
I would think in terms of defining a function that describes the spiral -
probably based on an Archimedean spiral
https://en.wikipedia.org/wiki/Archimedean_spiral - and then dividing
that path into N equal segments and placing a dot at each of those points.
To my eye, Archimedean spirals start to degenerate during the center loop,
violating the constant-distance-between-loops behavior that you see in the
rest of the spiral. I would cope with that by either skipping that loop,
or by placing the dots there "by hand".
I think that what's going on in the center is that you're normally looking
at the distance from one loop to the next, 360° further along the spiral,
but in that innermost loop there is no loop further in, and you're
looking at the distance from one point to another point that is closer than
360° away. Looking at the Wikipedia page, the most extreme case looks like
measuring from the center point to the first time the spiral crosses the +Y
axis. That's only a quarter of a loop-to-loop distance, which looks really
small... and that's that because it's only 90° away, not 360°.
Now, I say that like I know how to do those things. I don't. I don't
know what an Archimedean spiral mapped onto a sphere really looks like. I
suspect that it is phi = a + b*theta, but I'd have to plot that out to be
sure. I have no idea how to measure the length of that path and no idea
how to find a particular point given a distance along the path. (Well,
other than iteratively, but that's just wrong.)
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If you already have the path, then you can use BOSL2’s path_copies() to get an equidistant spread of items along that path.
-Revar
On Feb 28, 2023, at 7:40 AM, jon <jon@jonbondy.com> wrote:
I wrote some code to create a spiral of spheres around the surface of a larger sphere. It works fine, but the spacing is too tight near the poles.
If I were writing in a "normal" language, I would calculate the position of each possible new sphere, then calculate the distance from that sphere to the most recently successfully placed sphere, and avoid placing the new one if the distance was too small. But I am writing in OpenSCAD, so that approach will not work; at least, I don't know how to do this in OpenSCAD.
Any thoughts?
function x(r, theta, rho) = r * sin(theta) * cos(rho);
function y(r, theta, rho) = r * sin(theta) * sin(rho);
function z(r, theta, rho) = r * cos(theta);sphereD = 5;
numRots = 7;
numSpheres = numRots * 360;
r = 100;
for (rho = [0:5:numSpheres])
let (theta = (180 * (rho / numSpheres)))
translate([x(r, theta, rho), y(r, theta, rho), z(r, theta, rho)])
sphere(d = sphereD);
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Thank you, Revar!
When I do this
include <BOSL2/std.scad>
include <BOSL2/distributors.scad>
then I get the error
WARNING: Ignoring unknown module 'path_copies' in file xxx.scad, line 43
which is
path_copies(path, n = 100) sphere(d = bigDi/10);
Do I have the wrong includes?
Jon
On 2/28/2023 4:55 PM, Revar Desmera wrote:
If you already have the path, then you can use BOSL2’s path_copies()
to get an equidistant spread of items along that path.
7f60f080-3992-11eb-9baf-22e99510b07f.png
distributors.scad
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
github.com
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
-Revar
On Feb 28, 2023, at 7:40 AM, jon jon@jonbondy.com wrote:
I wrote some code to create a spiral of spheres around the surface
of a larger sphere. It works fine, but the spacing is too tight near
the poles.
If I were writing in a "normal" language, I would calculate the
position of each possible new sphere, then calculate the distance
from that sphere to the most recently successfully placed sphere, and
avoid placing the new one if the distance was too small. But I am
writing in OpenSCAD, so that approach will not work; at least, I
don't know how to do this in OpenSCAD.
Any thoughts?
function x(r, theta, rho) = r * sin(theta) * cos(rho);
function y(r, theta, rho) = r * sin(theta) * sin(rho);
function z(r, theta, rho) = r * cos(theta);
sphereD = 5;
numRots = 7;
numSpheres = numRots * 360;
r = 100;
for (rho = [0:5:numSpheres])
let (theta = (180 * (rho / numSpheres)))
translate([x(r, theta, rho), y(r, theta, rho), z(r, theta, rho)])
sphere(d = sphereD);
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I assumed that he really wants a nice result on the sphere. The
path_copies() module implements something like what nophead
suggested----his suggestion, by the way, is really kind of nontrivial to
implement.
On Tue, Feb 28, 2023 at 5:12 PM Revar Desmera revarbat@gmail.com wrote:
If you already have the path, then you can use BOSL2’s path_copies() to
get an equidistant spread of items along that path.
[image: 7f60f080-3992-11eb-9baf-22e99510b07f.png]
distributors.scad
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
github.com
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
-Revar
On Feb 28, 2023, at 7:40 AM, jon jon@jonbondy.com wrote:
I wrote some code to create a spiral of spheres around the surface of a
larger sphere. It works fine, but the spacing is too tight near the poles.
If I were writing in a "normal" language, I would calculate the position
of each possible new sphere, then calculate the distance from that sphere
to the most recently successfully placed sphere, and avoid placing the new
one if the distance was too small. But I am writing in OpenSCAD, so that
approach will not work; at least, I don't know how to do this in OpenSCAD.
Any thoughts?
function x(r, theta, rho) = r * sin(theta) * cos(rho);
function y(r, theta, rho) = r * sin(theta) * sin(rho);
function z(r, theta, rho) = r * cos(theta);
sphereD = 5;
numRots = 7;
numSpheres = numRots * 360;
r = 100;
for (rho = [0:5:numSpheres])
let (theta = (180 * (rho / numSpheres)))
translate([x(r, theta, rho), y(r, theta, rho), z(r, theta, rho)])
sphere(d = sphereD);
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You only need std.scad. Probably you need to update BOSL2.
On Tue, Feb 28, 2023 at 5:39 PM jon jon@jonbondy.com wrote:
Thank you, Revar!
When I do this
include <BOSL2/std.scad>
include <BOSL2/distributors.scad>
then I get the error
WARNING: Ignoring unknown module 'path_copies' in file xxx.scad, line 43
which is
path_copies(path, n = 100) sphere(d = bigDi/10);
Do I have the wrong includes?
Jon
On 2/28/2023 4:55 PM, Revar Desmera wrote:
If you already have the path, then you can use BOSL2’s path_copies() to
get an equidistant spread of items along that path.
[image: 7f60f080-3992-11eb-9baf-22e99510b07f.png]
distributors.scad
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
github.com
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
-Revar
On Feb 28, 2023, at 7:40 AM, jon jon@jonbondy.com jon@jonbondy.com
wrote:
I wrote some code to create a spiral of spheres around the surface of a
larger sphere. It works fine, but the spacing is too tight near the poles.
If I were writing in a "normal" language, I would calculate the position
of each possible new sphere, then calculate the distance from that sphere
to the most recently successfully placed sphere, and avoid placing the new
one if the distance was too small. But I am writing in OpenSCAD, so that
approach will not work; at least, I don't know how to do this in OpenSCAD.
Any thoughts?
function x(r, theta, rho) = r * sin(theta) * cos(rho);
function y(r, theta, rho) = r * sin(theta) * sin(rho);
function z(r, theta, rho) = r * cos(theta);
sphereD = 5;
numRots = 7;
numSpheres = numRots * 360;
r = 100;
for (rho = [0:5:numSpheres])
let (theta = (180 * (rho / numSpheres)))
translate([x(r, theta, rho), y(r, theta, rho), z(r, theta, rho)])
sphere(d = sphereD);
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Yes. Updated the library, and the path_copies() approach worked perfectly!
I love that BOSL2 library!
Jon
On 2/28/2023 5:43 PM, Adrian Mariano wrote:
You only need std.scad. Probably you need to update BOSL2.
On Tue, Feb 28, 2023 at 5:39 PM jon jon@jonbondy.com wrote:
Thank you, Revar!
When I do this
include <BOSL2/std.scad>
include <BOSL2/distributors.scad>
then I get the error
WARNING: Ignoring unknown module 'path_copies' in file xxx.scad,
line 43
which is
path_copies(path, n = 100) sphere(d = bigDi/10);
Do I have the wrong includes?
Jon
On 2/28/2023 4:55 PM, Revar Desmera wrote:
If you already have the path, then you can use BOSL2’s
`path_copies()` to get an equidistant spread of items along that
path.
7f60f080-3992-11eb-9baf-22e99510b07f.png
distributors.scad
<https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies>
github.com
<https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies>
<https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies>
-Revar
On Feb 28, 2023, at 7:40 AM, jon <jon@jonbondy.com>
<mailto:jon@jonbondy.com> wrote:
I wrote some code to create a spiral of spheres around the
surface of a larger sphere. It works fine, but the spacing is
too tight near the poles.
If I were writing in a "normal" language, I would calculate the
position of each possible new sphere, then calculate the
distance from that sphere to the most recently successfully
placed sphere, and avoid placing the new one if the distance was
too small. But I am writing in OpenSCAD, so that approach will
not work; at least, I don't know how to do this in OpenSCAD.
Any thoughts?
function x(r, theta, rho) = r * sin(theta) * cos(rho);
function y(r, theta, rho) = r * sin(theta) * sin(rho);
function z(r, theta, rho) = r * cos(theta);
sphereD = 5;
numRots = 7;
numSpheres = numRots * 360;
r = 100;
for (rho = [0:5:numSpheres])
let (theta = (180 * (rho / numSpheres)))
translate([x(r, theta, rho), y(r, theta, rho), z(r,
theta, rho)])
sphere(d = sphereD);
_______________________________________________
OpenSCAD mailing list
To unsubscribe send an email to discuss-leave@lists.openscad.org
_______________________________________________
OpenSCAD mailing list
To unsubscribe send an email todiscuss-leave@lists.openscad.org
_______________________________________________
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is this what you were trying to do?
[image: Screenshot 2023-03-01 at 10.00.00 PM.png]
I did this with a slightly different approach.
steps:
- created a normal helix
- connected all helix points with the center line z-axis, so that all the
lines are parallel to x-y plane - found intersection of the lines with sphere. This gives the helical path
along the sphere surface - Divided the path in equally spaced points.
- translated spheres with diameter equal to the length between each point
On Wed, 1 Mar 2023 at 04:49, jon jon@jonbondy.com wrote:
Yes. Updated the library, and the path_copies() approach worked perfectly!
I love that BOSL2 library!
Jon
On 2/28/2023 5:43 PM, Adrian Mariano wrote:
You only need std.scad. Probably you need to update BOSL2.
On Tue, Feb 28, 2023 at 5:39 PM jon jon@jonbondy.com wrote:
Thank you, Revar!
When I do this
include <BOSL2/std.scad>
include <BOSL2/distributors.scad>
then I get the error
WARNING: Ignoring unknown module 'path_copies' in file xxx.scad, line 43
which is
path_copies(path, n = 100) sphere(d = bigDi/10);
Do I have the wrong includes?
Jon
On 2/28/2023 4:55 PM, Revar Desmera wrote:
If you already have the path, then you can use BOSL2’s path_copies() to
get an equidistant spread of items along that path.
[image: 7f60f080-3992-11eb-9baf-22e99510b07f.png]
distributors.scad
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
github.com
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies
-Revar
On Feb 28, 2023, at 7:40 AM, jon jon@jonbondy.com jon@jonbondy.com
wrote:
I wrote some code to create a spiral of spheres around the surface of a
larger sphere. It works fine, but the spacing is too tight near the poles.
If I were writing in a "normal" language, I would calculate the position
of each possible new sphere, then calculate the distance from that sphere
to the most recently successfully placed sphere, and avoid placing the new
one if the distance was too small. But I am writing in OpenSCAD, so that
approach will not work; at least, I don't know how to do this in OpenSCAD.
Any thoughts?
function x(r, theta, rho) = r * sin(theta) * cos(rho);
function y(r, theta, rho) = r * sin(theta) * sin(rho);
function z(r, theta, rho) = r * cos(theta);
sphereD = 5;
numRots = 7;
numSpheres = numRots * 360;
r = 100;
for (rho = [0:5:numSpheres])
let (theta = (180 * (rho / numSpheres)))
translate([x(r, theta, rho), y(r, theta, rho), z(r, theta, rho)])
sphere(d = sphereD);
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Yes, Sanjeev, that was my objective. Basically a single line of
additional code using BOSL2
Jon
On 3/1/2023 11:42 AM, Sanjeev Prabhakar wrote:
is this what you were trying to do?
Screenshot 2023-03-01 at 10.00.00 PM.png
I did this with a slightly different approach.
steps:
- created a normal helix
- connected all helix points with the center line z-axis, so that all
the lines are parallel to x-y plane - found intersection of the lines with sphere. This gives the helical
path along the sphere surface - Divided the path in equally spaced points.
- translated spheres with diameter equal to the length between each point
On Wed, 1 Mar 2023 at 04:49, jon jon@jonbondy.com wrote:
Yes. Updated the library, and the path_copies() approach worked
perfectly!
I love that BOSL2 library!
Jon
On 2/28/2023 5:43 PM, Adrian Mariano wrote:
You only need std.scad. Probably you need to update BOSL2.
On Tue, Feb 28, 2023 at 5:39 PM jon <jon@jonbondy.com> wrote:
Thank you, Revar!
When I do this
include <BOSL2/std.scad>
include <BOSL2/distributors.scad>
then I get the error
WARNING: Ignoring unknown module 'path_copies' in file
xxx.scad, line 43
which is
path_copies(path, n = 100) sphere(d = bigDi/10);
Do I have the wrong includes?
Jon
On 2/28/2023 4:55 PM, Revar Desmera wrote:
If you already have the path, then you can use BOSL2’s
`path_copies()` to get an equidistant spread of items along
that path.
7f60f080-3992-11eb-9baf-22e99510b07f.png
distributors.scad
<https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies>
github.com
<https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies>
<https://github.com/revarbat/BOSL2/wiki/distributors.scad#functionmodule-path_copies>
-Revar
On Feb 28, 2023, at 7:40 AM, jon <jon@jonbondy.com>
<mailto:jon@jonbondy.com> wrote:
I wrote some code to create a spiral of spheres around the
surface of a larger sphere. It works fine, but the spacing
is too tight near the poles.
If I were writing in a "normal" language, I would calculate
the position of each possible new sphere, then calculate
the distance from that sphere to the most recently
successfully placed sphere, and avoid placing the new one
if the distance was too small. But I am writing in
OpenSCAD, so that approach will not work; at least, I don't
know how to do this in OpenSCAD.
Any thoughts?
function x(r, theta, rho) = r * sin(theta) * cos(rho);
function y(r, theta, rho) = r * sin(theta) * sin(rho);
function z(r, theta, rho) = r * cos(theta);
sphereD = 5;
numRots = 7;
numSpheres = numRots * 360;
r = 100;
for (rho = [0:5:numSpheres])
let (theta = (180 * (rho / numSpheres)))
translate([x(r, theta, rho), y(r, theta, rho), z(r,
theta, rho)])
sphere(d = sphereD);
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discuss-leave@lists.openscad.org
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