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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