Thanks for sharing that!

Right now on https://www.phind.com/  if you click on "Use Best Model
(slow)" and include "using sagemath" in your question,
it will combine the sagemath docs, web searches, and GPT-4 to answer your
question.  This might result in better answers
in some cases than just using chatgpt.   I don't know how long
https://www.phind.com will be free or if it is globally available
or what, but it is fun to play with right now.

 -- William



On Wed, May 24, 2023 at 2:45 PM Henri Girard <henri.gir...@gmail.com> wrote:

> I was trying chatgpt and noticed I was able things I couldn't do myself
> alone, I think it can help in learning sage because it's a good tool (i am
> making advert for it lol)
>
> I needed some times to obtain what I wanted and as it gives python
> sometimes there are mistakes with sage, in graphic I prefer sage libs
> because I know them better than matplotlib with numpy
>
> from sage.all import *
>
> vertices = [(0, 0), (0, 1), (1, 1), (1, 0)]
> p = polygon(vertices, fill=False)
>
> def rotate_point(point, angle):
>     rot = matrix([[cos(angle), sin(angle)],
>                   [-sin(angle), cos(angle)]])
>     return rot * vector(point)
>
> theta1 = pi / 4
> theta2 = pi / 2
>
> rotated_vertices1 = [rotate_point(vertex, theta1) for vertex in vertices]
> rotated_vertices2 = [rotate_point(vertex, theta2) for vertex in vertices]
>
> # Carré en bas à droite
> square_bottom_right = [rotate_point((x + 1, y), theta2) + vector([1, 1])
> for x, y in vertices]
>
> # Carré en haut à droite
> square_top_right = [rotate_point((x + 1, y + 1), theta2) + vector([0, 2])
> for x, y in vertices]
>
> # Centrer le losange
> center = vector([0.05, 0.05])
> offset = vector([0.245, -0.05])  # Ajuster l'offset selon les besoins
> rotated_vertices_centered = [vertex + center + offset for vertex in
> rotated_vertices1]
>
> show(p + polygon(rotated_vertices_centered, fill=False, color='red') +
>      polygon(rotated_vertices2, fill=False, color='blue') +
>      polygon(square_bottom_right, fill=False, color='green') +
>      polygon(square_top_right, fill=False, color='purple'),
>      gridlines="major", axes=False, figsize=5)
>
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> .
>


-- 
William (http://wstein.org)

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