sketch-a-day/s180108/PlatonicSolids.py

106 wiersze
4.3 KiB
Python

class Icosahedron():
def __init__(self, radius):
topPent = [PVector()] * 5 # PVector[5]
bottomPent = [PVector()] * 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)