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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