sketch-a-day/s180108/PlatonicSolids.py

274 wiersze
9.3 KiB
Python

def PlatonicFactory(type_=0, size_=None):
classes = {0: Tetrahedron,
1: Hexahedron,
2: Octahedron,
3: Dodecahedron,
4: Icosahedron,
}
default_sizes = {0: 36, 1: 28, 2: 44, 3: 36, 4: 36}
if size_:
solid_size = size_
else:
solid_size = default_sizes[type_]
return classes[type_](solid_size)
class Tetrahedron():
def __init__(self, radius):
self.vert = [0] * 4
self.radius = radius
a = radius * 0.6666
self.vert[0] = PVector(a, a, a)
self.vert[1] = PVector(-a, -a, a)
self.vert[2] = PVector(-a, a, -a)
self.vert[3] = PVector(a, -a, -a)
# draws tetrahedron
def create(self):
vert = self.vert
beginShape(TRIANGLE_STRIP)
vertex(vert[0].x, vert[0].y, vert[0].z)
vertex(vert[1].x, vert[1].y, vert[1].z)
vertex(vert[2].x, vert[2].y, vert[2].z)
vertex(vert[3].x, vert[3].y, vert[3].z)
vertex(vert[0].x, vert[0].y, vert[0].z)
vertex(vert[1].x, vert[1].y, vert[1].z)
vertex(vert[3].x, vert[3].y, vert[3].z)
vertex(vert[2].x, vert[2].y, vert[2].z)
vertex(vert[1].x, vert[1].y, vert[1].z)
endShape(CLOSE)
class Hexahedron():
def __init__(self, radius):
self.radius = radius
a = radius / 1.1414
faces = [0] * 6
vert = [0] * 8
vert[0] = PVector(a, a, a)
vert[1] = PVector(a, a, -a)
vert[2] = PVector(a, -a, -a)
vert[3] = PVector(a, -a, a)
vert[4] = PVector(-a, -a, a)
vert[5] = PVector(-a, a, a)
vert[6] = PVector(-a, a, -a)
vert[7] = PVector(-a, -a, -a)
faces[0] = (0, 1, 2, 3)
faces[1] = (4, 5, 6, 7)
faces[2] = (0, 3, 4, 5)
faces[3] = (1, 2, 7, 6)
faces[4] = (2, 3, 4, 7)
faces[5] = (0, 5, 6, 1)
self.vert, self.faces = vert, faces
# draws hexahedron
def create(self):
for i in range(6):
beginShape()
for j in range(4):
vertex(self.vert[self.faces[i][j]].x,
self.vert[self.faces[i][j]].y,
self.vert[self.faces[i][j]].z)
endShape()
class Octahedron():
def __init__(self, radius):
self.radius = radius
a = radius
vert = [0] * 6
vert[0] = PVector(a, 0, 0)
vert[1] = PVector(0, a, 0)
vert[2] = PVector(0, 0, a)
vert[3] = PVector(-a, 0, 0)
vert[4] = PVector(0, -a, 0)
vert[5] = PVector(0, 0, -a)
self.vert = vert
# draws octahedron
def create(self):
vert = self.vert
beginShape(TRIANGLE_FAN)
vertex(vert[4].x, vert[4].y, vert[4].z)
vertex(vert[0].x, vert[0].y, vert[0].z)
vertex(vert[2].x, vert[2].y, vert[2].z)
vertex(vert[3].x, vert[3].y, vert[3].z)
vertex(vert[5].x, vert[5].y, vert[5].z)
vertex(vert[0].x, vert[0].y, vert[0].z)
endShape()
beginShape(TRIANGLE_FAN)
vertex(vert[1].x, vert[1].y, vert[1].z)
vertex(vert[0].x, vert[0].y, vert[0].z)
vertex(vert[2].x, vert[2].y, vert[2].z)
vertex(vert[3].x, vert[3].y, vert[3].z)
vertex(vert[5].x, vert[5].y, vert[5].z)
vertex(vert[0].x, vert[0].y, vert[0].z)
endShape()
class Icosahedron():
def __init__(self, radius):
topPent = [0] * 5 # PVector[5]
bottomPent = [0] * 5 # PVector[5]
angle = 0
c = dist(cos(0) * radius,
sin(0) * radius,
cos(radians(72)) * radius,
sin(radians(72)) * radius)
b = radius
a = sqrt(((c * c) - (b * b)))
triHt = sqrt((c * c) - ((c / 2) * (c / 2)))
for i in range(5):
topPent[i] = PVector(cos(angle) * radius,
sin(angle) * radius,
triHt / 2.0)
angle += radians(72)
topPoint = PVector(0, 0, triHt / 2.0 + a)
angle = 72.0 / 2.0
for i in range(5):
bottomPent[i] = PVector(cos(angle) * radius,
sin(angle) * radius,
-triHt / 2.0)
angle += radians(72)
bottomPoint = PVector(0, 0, -(triHt / 2.0 + a))
self.topPent, self.bottomPent = topPent, bottomPent
self.topPoind, self.bottomPoint = topPoint, bottomPoint
# draws icosahedron
def create(self):
topPent, bottomPent = self.topPent, self.bottomPent
topPoint, bottomPoint = self.topPoind, self.bottomPoint
for i in range(5):
# icosahedron top
beginShape()
if (i < 5 - 1):
vertex(topPent[i].x, topPent[i].y, topPent[i].z)
vertex(topPoint.x, topPoint.y, topPoint.z)
vertex(
topPent[i + 1].x, topPent[i + 1].y, topPent[i + 1].z)
else:
vertex(topPent[i].x, topPent[i].y, topPent[i].z)
vertex(topPoint.x, topPoint.y, topPoint.z)
vertex(topPent[0].x, topPent[0].y, topPent[0].z)
endShape(CLOSE)
# icosahedron bottom
beginShape()
if (i < len(bottomPent) - 1):
vertex(bottomPent[i].x, bottomPent[i].y, bottomPent[i].z)
vertex(bottomPoint.x, bottomPoint.y, bottomPoint.z)
vertex(
bottomPent[i + 1].x, bottomPent[i + 1].y, bottomPent[i + 1].z)
else:
vertex(bottomPent[i].x, bottomPent[i].y, bottomPent[i].z)
vertex(bottomPoint.x, bottomPoint.y, bottomPoint.z)
vertex(bottomPent[0].x, bottomPent[0].y, bottomPent[0].z)
endShape(CLOSE)
# icosahedron body
for i in range(5):
if i < 3:
beginShape()
vertex(topPent[i].x, topPent[i].y, topPent[i].z)
vertex(
bottomPent[i + 1].x, bottomPent[i + 1].y, bottomPent[i + 1].z)
vertex(
bottomPent[i + 2].x, bottomPent[i + 2].y, bottomPent[i + 2].z)
endShape(CLOSE)
beginShape()
vertex(
bottomPent[i + 2].x, bottomPent[i + 2].y, bottomPent[i + 2].z)
vertex(topPent[i].x, topPent[i].y, topPent[i].z)
vertex(
topPent[i + 1].x, topPent[i + 1].y, topPent[i + 1].z)
endShape(CLOSE)
elif i == 3:
beginShape()
vertex(topPent[i].x, topPent[i].y, topPent[i].z)
vertex(
bottomPent[i + 1].x, bottomPent[i + 1].y, bottomPent[i + 1].z)
vertex(bottomPent[0].x, bottomPent[0].y, bottomPent[0].z)
endShape(CLOSE)
beginShape()
vertex(bottomPent[0].x, bottomPent[0].y, bottomPent[0].z)
vertex(topPent[i].x, topPent[i].y, topPent[i].z)
vertex(
topPent[i + 1].x, topPent[i + 1].y, topPent[i + 1].z)
endShape(CLOSE)
elif i == 4:
beginShape()
vertex(topPent[i].x, topPent[i].y, topPent[i].z)
vertex(bottomPent[0].x, bottomPent[0].y, bottomPent[0].z)
vertex(bottomPent[1].x, bottomPent[1].y, bottomPent[1].z)
endShape(CLOSE)
beginShape()
vertex(bottomPent[1].x, bottomPent[1].y, bottomPent[1].z)
vertex(topPent[i].x, topPent[i].y, topPent[i].z)
vertex(topPent[0].x, topPent[0].y, topPent[0].z)
endShape(CLOSE)
class Dodecahedron():
def __init__(self, radius):
self.radius = radius
a = radius / 1.618033989
b = radius
c = 0.618033989 * a
faces = [0] * 12
vert = [0] * 20
vert[0] = PVector(a, a, a)
vert[1] = PVector(a, a, -a)
vert[2] = PVector(a, -a, a)
vert[3] = PVector(a, -a, -a)
vert[4] = PVector(-a, a, a)
vert[5] = PVector(-a, a, -a)
vert[6] = PVector(-a, -a, a)
vert[7] = PVector(-a, -a, -a)
vert[8] = PVector(0, c, b)
vert[9] = PVector(0, c, -b)
vert[10] = PVector(0, -c, b)
vert[11] = PVector(0, -c, -b)
vert[12] = PVector(c, b, 0)
vert[13] = PVector(c, -b, 0)
vert[14] = PVector(-c, b, 0)
vert[15] = PVector(-c, -b, 0)
vert[16] = PVector(b, 0, c)
vert[17] = PVector(b, 0, -c)
vert[18] = PVector(-b, 0, c)
vert[19] = PVector(-b, 0, -c)
faces[0] = (0, 16, 2, 10, 8)
faces[1] = (0, 8, 4, 14, 12)
faces[2] = (16, 17, 1, 12, 0)
faces[3] = (1, 9, 11, 3, 17)
faces[4] = (1, 12, 14, 5, 9)
faces[5] = (2, 13, 15, 6, 10)
faces[6] = (13, 3, 17, 16, 2)
faces[7] = (3, 11, 7, 15, 13)
faces[8] = (4, 8, 10, 6, 18)
faces[9] = (14, 5, 19, 18, 4)
faces[10] = (5, 19, 7, 11, 9)
faces[11] = (15, 7, 19, 18, 6)
self.faces, self.vert = faces, vert
# draws dodecahedron
def create(self):
for i in range(12):
beginShape()
for j in range(5):
vertex(self.vert[self.faces[i][j]].x,
self.vert[self.faces[i][j]].y,
self.vert[self.faces[i][j]].z)
endShape()