from vectors import *
from draw3d import *
octahedron = [
[(1, 0, 0), (0, 1, 0), (0, 0, 1)],
[(1, 0, 0), (0, 0, -1), (0, 1, 0)],
[(1, 0, 0), (0, 0, 1), (0, -1, 0)],
[(1, 0, 0), (0, -1, 0), (0, 0, -1)],
[(-1, 0, 0), (0, 0, 1), (0, 1, 0)],
[(-1, 0, 0), (0, 1, 0), (0, 0, -1)],
[(-1, 0, 0), (0, -1, 0), (0, 0, 1)],
[(-1, 0, 0), (0, 0, -1), (0, -1, 0)],
]
vs = [v for face in octahedron for v in face]
segs = [
Segment3D(face[i], face[(i + 1) % len(face)]) for face in octahedron
for i in range(len(face))
]
draw3d(
Points3D(*vs),
*segs,
)
from math import pi
from transforms import *
from draw3d import *
def infer_matrix(n, transformation):
matrix = []
for i in range(n):
row = [0] * n
row[i] = 1
matrix.append(transformation(row))
return tuple(matrix)
if __name__ == '__main__':
v = (1, 1, 1)
# m = infer_matrix(3, rotate_x_by(3/2 * pi))
m = infer_matrix(3, rotate_z_by(pi/2))
# m = infer_matrix(3, scale_by(2))
print(m)
tv = multiply_matrix_vector(m, v)
print(tv)
draw3d(Arrow3D(v), Arrow3D(tv, color=blue))
from vectors import *
from draw3d import *
o = (0, 0, 0)
v = (4, 0, 3)
u = (-1, 0, 1)
a = add(u, v)
print("u v a", u, v, a)
draw3d(
# Segment3D(o, u, color=green),
# Segment3D(u, add(u, v), color=red),
Arrow3D(tip=u, color=blue),
Arrow3D(tail=u, tip=a, color=red),
Arrow3D(tip=v, color=red),
Arrow3D(tail=v, tip=a, color=blue),
Arrow3D(tip=a, color=purple),
)
from math import sin, cos, pi
from draw3d import *
from vectors import *
vs = [(sin(pi*t/6), cos(pi*t/6), 1.0/3) for t in range(0, 24)]
arrows = []
running_sum = (0, 0, 0)
for v in vs:
step = add(running_sum, v)
arrows.append(Arrow3D(tail=running_sum, tip=step))
running_sum = step
a = add(*vs)
print(a)
draw3d(*arrows)
from draw3d import *
from vectors import *
v1 = (-1, 0, 0)
v2 = (0, -1, 0)
v3 = (0, 0, 1)
points = Points3D(v1, v2, v3)
segs = [Segment3D(v1, v2), Segment3D(v1, v3), Segment3D(v2, v3)]
c = cross(subtract(v2, v1), subtract(v3, v1))
draw3d(points, *segs, Arrow3D(subtract(v2, v1), color=red),
Arrow3D(subtract(v3, v1), color=purple), Arrow3D(c, color=green))
r = (1, -1)
v = [(x, y, z) for x in r for y in r for z in r]
edges = [((-1, y, z), (1, y, z)) for y in r for z in r] +\
[((x, -1, z), (x, 1, z)) for x in r for z in r] +\
[((x, y, -1), (x, y, 1)) for x in r for y in r]
# segs = []
# for v1 in v:
# for v2 in v:
# print(v1, v2, distance(v1, v2))
# if distance(v1, v2) == 2.0:
# segs.append(Segment3D(v1, v2))
segs = [
Segment3D(v1, v2, color=red) for v1 in v for v2 in v
if distance(v1, v2) == 2.0
]
# segs = filter(lambda s: distance(s.start_point, s.end_point) == 2.0, segs)
print("Segments:", len(edges))
# segs = [Segment3D(v[i], v[(i+1) % len(v)]) for i in range(0, len(v))]
draw3d(
Points3D(*v, color=blue),
*[Segment3D(*e) for e in edges],
*segs,
# Box3D(*v),
# Segment3D(o, v),
)