On Mon, May 11, 2020 at 02:01:37PM +0100, nop head wrote:

> Because a Minkowski sum is a mathematical operation that sums two sets of

> points in all combinations to make a new set of points.

>

> On Mon, 11 May 2020 at 13:28, Snörre <

[hidden email]> wrote:

>

> > Hello together,

> >

> > the Minkowski function I think is to make a cube round, right?

No. Minkowski is an operation that CAN be used to make a cube round.

Minkovsky does a UNION between ALL resulting objects when you

translate one object along a vector with the endpoint inside the

second object. This looks "asymmetric" but it isn't: the result is the

same whichever way around you do it.

So for the rounded box, you might think that you're shifting the box

around along all points inside the sphere, but the same rounded box is

what you get when you move the sphere around all the vectors that fall

inside the cube.

> > So why is the radius added to the cube?

> > At least I work like this. I need a specific cube size with rounded edges.

> > Example:

> >

> > I need a box with 100 x 60 x 20 with roundings 5.

I'd make a module rounded box that does...

> > minkowski()

> > {

> > cube([100-RoundingBox*2,60-RoundingBox*2,20-RoundingBox*2], center =

> > true);

> > sphere(r=5, $fn = 36);}

... this.

But because of the "all possible vectors" and then a union across all

those objects, the minkowski operation is very expensive.

So for rounded box I'd write:

module roundedbox (x, y, z, r)

{

x2=x/2-r;

y2=y/2-r;

z2=z/2-r;

hull () {

translate ([ x2, y2, z2]) sphere (r=r);

translate ([ x2, y2,-z2]) sphere (r=r);

translate ([ x2,-y2, z2]) sphere (r=r);

translate ([-x2,-y2,-z2]) sphere (r=r);

translate ([-x2, y2, z2]) sphere (r=r);

translate ([-x2,-y2,-z2]) sphere (r=r);

translate ([-x2,-y2, z2]) sphere (r=r);

}

}

This is much faster than the minkovsky.

Roger.

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