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import matplotlib.pyplot as plt
import numpy as np
import meshplex
def _main():
points = np.array([[0.0, 0.0], [1.0, 0.0], [0.3, 0.8]])
# points = np.array([[0.0, 0.0], [1.0, 0.0], [0.5, np.sqrt(3) / 2]])
cells = np.array([[0, 1, 2]])
mesh = meshplex.Mesh(points, cells)
lw = 5.0
col = "0.6"
ax = plt.gca()
# circumcircle
circle1 = plt.Circle(
mesh.cell_circumcenters[0],
mesh.cell_circumradius[0],
color=col,
fill=False,
linewidth=lw,
)
ax.add_patch(circle1)
# perpendicular bisectors
for i, j in [[0, 1], [1, 2], [2, 0]]:
m1 = (points[i] + points[j]) / 2
v1 = m1 - mesh.cell_circumcenters[0]
e1 = (
mesh.cell_circumcenters[0]
+ v1 / np.linalg.norm(v1) * mesh.cell_circumradius[0]
)
plt.plot(
[mesh.cell_circumcenters[0, 0], e1[0]],
[mesh.cell_circumcenters[0, 1], e1[1]],
col,
linewidth=lw,
)
# heights
for i, j, k in [[0, 1, 2], [1, 2, 0], [2, 0, 1]]:
p = points - points[i]
v1 = p[j] / np.linalg.norm(p[j])
m1 = points[i] + np.dot(p[k], v1) * v1
plt.plot([points[k, 0], m1[0]], [points[k, 1], m1[1]], linewidth=lw, color=col)
# # incircle
# circle2 = plt.Circle(
# mesh.cell_incenters[0], mesh.inradius[0], color=col, fill=False, linewidth=lw
# )
# ax.add_patch(circle2)
# # angle bisectors
# for i, j, k in [[0, 1, 2], [1, 2, 0], [2, 0, 1]]:
# p = points - points[i]
# v1 = p[j] / np.linalg.norm(p[j])
# v2 = p[k] / np.linalg.norm(p[k])
# alpha = np.arccos(np.dot(v1, v2))
# c = np.cos(alpha / 2)
# s = np.sin(alpha / 2)
# beta = np.linalg.norm(mesh.cell_incenters[0] - points[i]) + mesh.inradius[0]
# m1 = points[i] + np.dot([[c, -s], [s, c]], v1) * beta
# plt.plot(
# [points[i, 0], m1[0]],
# [points[i, 1], m1[1]],
# col,
# linewidth=lw,
# color=col,
# )
# triangle
plt.plot(
[points[0, 0], points[1, 0], points[2, 0], points[0, 0]],
[points[0, 1], points[1, 1], points[2, 1], points[0, 1]],
color="#d62728",
linewidth=lw,
)
ax.set_xlim(-0.1, 1.1)
ax.set_ylim(-0.4, 0.9)
ax.set_aspect("equal")
plt.axis("off")
plt.savefig("logo.svg", bbox_inches="tight", transparent=True)
# plt.show()
if __name__ == "__main__":
_main()
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