[NTG-context] Do we have a geometry library for Metafun?

[NTG-context] Do we have a geometry library for Metafun?

[Shiv Shankar Dayal]

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Do we have a geometry library for common operations like finding tangents,
perpendiculars, circumcircle, orthocenters and such?

-- 
Respect,
Shiv Shankar Dayal

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[NTG-context] Re: Do we have a geometry library for Metafun?

[Gavin via ntg-context]

Hi Shiv,

> Do we have a geometry library for common operations like finding tangents, perpendiculars, circumcircle, orthocenters and such?

I don’t think we have anything like that specifically in the MetaFun world, but if there is a MetaPost package you like, you can use it with MetaFun. For example, the TeX Live installation includes both ConTeXt and 3dgeom.mp, so you should be able to use the 3dgeom package in MetaFun simply with "input 3dgeom" in your MetaPost code. (I did a quick check, successfully drawing a drawing a cube with 3dgeom. I have not tested it beyond than that.)

If there isn’t a MetaPost package for what you want, Lua may be useful for doing the calculations.

Gavin
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[NTG-context] Re: Do we have a geometry library for Metafun?

[Shiv Shankar Dayal]

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Dear Gavin,

I have managed to create an implementation for these operations which I
think I can convert into functions and put in startMPinclusions and then
use them from. there.

On Fri, Jan 12, 2024 at 9:42 PM Gavin via ntg-context <ntg-context@ntg.nl>
wrote:

> Hi Shiv,
>
> > Do we have a geometry library for common operations like finding
> tangents, perpendiculars, circumcircle, orthocenters and such?
>
> I don’t think we have anything like that specifically in the MetaFun
> world, but if there is a MetaPost package you like, you can use it with
> MetaFun. For example, the TeX Live installation includes both ConTeXt and
> 3dgeom.mp, so you should be able to use the 3dgeom package in MetaFun
> simply with "input 3dgeom" in your MetaPost code. (I did a quick check,
> successfully drawing a drawing a cube with 3dgeom. I have not tested it
> beyond than that.)
>
> If there isn’t a MetaPost package for what you want, Lua may be useful for
> doing the calculations.
>
> Gavin
>
> ___________________________________________________________________________________
> If your question is of interest to others as well, please add an entry to
> the Wiki!
>
> maillist : ntg-context@ntg.nl /
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> archive  : https://github.com/contextgarden/context
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>
> ___________________________________________________________________________________
>


-- 
Respect,
Shiv Shankar Dayal

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[NTG-context] Re: Do we have a geometry library for Metafun?

[Aditya Mahajan]

On Fri, 12 Jan 2024, Shiv Shankar Dayal wrote:

> Do we have a geometry library for common operations like finding tangents,
> perpendiculars, circumcircle, orthocenters and such?

No library that I know of, but drawing tangents (and therefore, perpendiculars) is straight-forward:

   https://tex.stackexchange.com/a/108060/323

Circumcircle, orthocenter, etc... are you thinking of triangles or general polynomails?

Aditya
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[NTG-context] Re: Do we have a geometry library for Metafun?

[Shiv Shankar Dayal]

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> No library that I know of, but drawing tangents (and therefore,
> perpendiculars) is straight-forward:
>
>    https://tex.stackexchange.com/a/108060/323
>
> Circumcircle, orthocenter, etc... are you thinking of triangles or general
> polynomails?
>

Triangles. I understand that most of it is very easy, but still a library
will help new users.
Tikz has Tikz-Euclide and Asymptote has a Geometry package. A similar
library for Metafun
will be very useful.

-- 
Respect,
Shiv Shankar Dayal

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[NTG-context] Re: Do we have a geometry library for Metafun?

[Gavin via ntg-context]

Hi Shiv,

The author of tikz-euclide has another package, tikz-elements, which looks like it could be used to do all of these calculations for MetaFun.

The tikz-elements package, in spite of its name, appears to contain exactly one line of TikZ code. This line is in the very simple style file, tkz-elements.sty. Everything else is written in Lua. I think we could write a simple ConTeXt environment file that would replace tkz-elements.sty, making all of the tikz-elements package available for MetaFun rather than TikZ.

This would not give you the pretty drawing features of tikz-euclide, since those features really are written in TikZ. I do not know of a MetaPost package that does the same thing, but there might be one.

One pretty MetaPost drawing option is the byrne package by Sergey Slyusarev, which he used (with ConTeXt) to reproduce Oliver Byrne’s 1847 quirky edition on the first six books of Euclid’s “Elements”. All of the drawing is in MetaPost, and would work with MetaFun (I think). The LaTeX package is in TeX Live, and the ConTeXt version is at https://github.com/jemmybutton/byrne-euclid/.

Gavin


> On Jan 12, 2024, at 6:27 PM, Shiv Shankar Dayal <shivshankar.dayal@gmail.com> wrote:
> 
> 
> No library that I know of, but drawing tangents (and therefore, perpendiculars) is straight-forward:
> 
>    https://tex.stackexchange.com/a/108060/323
> 
> Circumcircle, orthocenter, etc... are you thinking of triangles or general polynomails?
> 
> Triangles. I understand that most of it is very easy, but still a library will help new users.
> Tikz has Tikz-Euclide and Asymptote has a Geometry package. A similar library for Metafun
> will be very useful.
>  -- 
> Respect,
> Shiv Shankar Dayal
> ___________________________________________________________________________________
> If your question is of interest to others as well, please add an entry to the Wiki!
> 
> maillist : ntg-context@ntg.nl / https://mailman.ntg.nl/mailman3/lists/ntg-context.ntg.nl
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> archive  : https://github.com/contextgarden/context
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> ___________________________________________________________________________________

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[NTG-context] Re: Do we have a geometry library for Metafun?

[Henning Hraban Ramm]

Am 13.01.24 um 15:54 schrieb Gavin via ntg-context:
> One pretty MetaPost drawing option is the byrne package by Sergey Slyusarev, which he used (with ConTeXt) to reproduce Oliver Byrne’s 1847 quirky edition on the first six books of Euclid’s “Elements”. All of the drawing is in MetaPost, and would work with MetaFun (I think). The LaTeX package is in TeX Live, and the ConTeXt version is at https://github.com/jemmybutton/byrne-euclid/.

The fiziko library by the same author is also very interesting:
https://github.com/jemmybutton/fiziko
Since it has some pseudo-3D features, maybe you can learn from it.

Hraban

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[NTG-context] Re: Do we have a geometry library for Metafun?

[Shiv Shankar Dayal]

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The fiziko library by the same author is also very interesting:
> https://github.com/jemmybutton/fiziko
> Since it has some pseudo-3D features, maybe you can learn from it.
>

Thanks for all this info. I will look into this and perhaps come up with a
Metapost file, and then we can possibly add that in Wiki.
I do not know Lua, and I am too old to learn another programming language.
These days, I program only in Rust/Javascript.

-- 
Respect,
Shiv Shankar Dayal

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[NTG-context] Re: Do we have a geometry library for Metafun?

[Shiv Shankar Dayal]

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Can we please add
https://github.com/jemmybutton/byrne-euclid/blob/master/byrne.mp to Wiki
because files have a tendency to disappear?
Similarly, can we please add
https://github.com/thruston/Drawing-with-Metapost/blob/main/Drawing-with-Metapost.pdf
file to Wiki?
-- 
Respect,
Shiv Shankar Dayal

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