The points on the yellow tile should be on the corners of a square, so I
think you need ot replace 1.4 with sqrt(2), which is ~1.41.
On Fri, Jan 7, 2022 at 12:14 PM fred via Discuss discuss@lists.openscad.org
wrote:
---------- Forwarded message ----------
From: fred fred_dot_u@yahoo.com
To: OpenSCAD general discussion discuss@lists.openscad.org
Cc:
Bcc:
Date: Fri, 7 Jan 2022 17:08:44 +0000 (UTC)
Subject: [OpenSCAD] how to calculate parameter?
$fn = 60;
dia = 15;
t_factor = 1.4;
circle(dia);
translate([t_factor * dia, 0, 0])
color("blue")
circle(dia);
translate([-t_factor * dia, 0, 0])
color("green")
circle(dia);
[image: Inline image]
I've not performed any tests on the current t_factor (translate factor) as
it's more-or-less a rough eyeball guess. I've forgotten most of my high
school trigonometry/geometry (last century) and am not certain that what I
knew would help me here.
I'd like to know what formula to use to calculate the x-translation that
results in the green and blue circles to split the yellow circle's
circumference into quarters. The final objective is to create a shape which
when duplicated and rotated will be tiled without gaps.
[image: Inline image]
This is the shape which results from using sqrt(2) as the translation
factor. I expect that this is the correct answer, but I only stumbled on
it. It's been my experience that sometimes a calculation falls into one of
the "standard" references in the world.
Can someone explain the development that would confirm this as the correct
calculation?
---------- Forwarded message ----------
From: fred via Discuss discuss@lists.openscad.org
To: OpenSCAD general discussion discuss@lists.openscad.org
Cc: fred fred_dot_u@yahoo.com
Bcc:
Date: Fri, 7 Jan 2022 17:08:44 +0000 (UTC)
Subject: [OpenSCAD] how to calculate parameter?
OpenSCAD mailing list
To unsubscribe send an email to discuss-leave@lists.openscad.org
The points on the yellow tile should be on the corners of a square, so I
think you need ot replace 1.4 with sqrt(2), which is ~1.41.
On Fri, Jan 7, 2022 at 12:14 PM fred via Discuss <discuss@lists.openscad.org>
wrote:
>
>
>
> ---------- Forwarded message ----------
> From: fred <fred_dot_u@yahoo.com>
> To: OpenSCAD general discussion <discuss@lists.openscad.org>
> Cc:
> Bcc:
> Date: Fri, 7 Jan 2022 17:08:44 +0000 (UTC)
> Subject: [OpenSCAD] how to calculate parameter?
> $fn = 60;
> dia = 15;
> t_factor = 1.4;
> circle(dia);
> translate([t_factor * dia, 0, 0])
> color("blue")
> circle(dia);
> translate([-t_factor * dia, 0, 0])
> color("green")
> circle(dia);
>
> [image: Inline image]
>
> I've not performed any tests on the current t_factor (translate factor) as
> it's more-or-less a rough eyeball guess. I've forgotten most of my high
> school trigonometry/geometry (last century) and am not certain that what I
> knew would help me here.
>
> I'd like to know what formula to use to calculate the x-translation that
> results in the green and blue circles to split the yellow circle's
> circumference into quarters. The final objective is to create a shape which
> when duplicated and rotated will be tiled without gaps.
>
> [image: Inline image]
> This is the shape which results from using sqrt(2) as the translation
> factor. I expect that this is the correct answer, but I only stumbled on
> it. It's been my experience that sometimes a calculation falls into one of
> the "standard" references in the world.
>
> Can someone explain the development that would confirm this as the correct
> calculation?
>
>
>
>
>
> ---------- Forwarded message ----------
> From: fred via Discuss <discuss@lists.openscad.org>
> To: OpenSCAD general discussion <discuss@lists.openscad.org>
> Cc: fred <fred_dot_u@yahoo.com>
> Bcc:
> Date: Fri, 7 Jan 2022 17:08:44 +0000 (UTC)
> Subject: [OpenSCAD] how to calculate parameter?
> _______________________________________________
> OpenSCAD mailing list
> To unsubscribe send an email to discuss-leave@lists.openscad.org
>
