I forget to say : I have done it with the windows version installers 9.2 and I compiled sage-10-1 dev because on ubuntu (sage-dev 10.1 compiled but not 10.0 a problem with giac on wsl2), which is a good proof of the facility to get sage working !

Le 25/05/2023 à 00:32, William Stein a écrit :
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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