Metasequoia Script–Sierpinski Triangle Pyramid

See this post [link] for the basics of using Metasequoia’s Script Editor.

I found an interesting script at this Japanese blog [link].
 

# fractal generate

doc = MQSystem.getDocument()

num = doc.numObject
obj = doc.object[0]

# field

x = 100
y = 100
z = 100
rn = 4 # recursive number

# Primitive

p01 = MQSystem.newPoint(x/2,y,z/2)
p02 = MQSystem.newPoint(0,0,0)
p03 = MQSystem.newPoint(x,0,0)
p04 = MQSystem.newPoint(x,0,z)
p05 = MQSystem.newPoint(0,0,z)

# function fractal()

def fractal(number,p1,p2,p3,p4):

  if number == 1:
  
    #left
    
    v = []
    v.append( obj.addVertex(p1) )
    v.append( obj.addVertex(p2) )
    v.append( obj.addVertex(p3) )
    
    obj.addFace(v)
    
    #right
    
    v = []
    v.append( obj.addVertex(p1) )
    v.append( obj.addVertex(p3) )
    v.append( obj.addVertex(p4) )
    
    obj.addFace(v)
    
    # bottom
        
    v = []
    v.append( obj.addVertex(p4) )
    v.append( obj.addVertex(p3) )
    v.append( obj.addVertex(p2) )
    
    obj.addFace(v)
    
  else:
    p5 = MQSystem.newPoint((p1.x + p2.x)/2, (p1.y + p2.y)/2, (p1.z + p2.z)/2)
    p6 = MQSystem.newPoint((p2.x + p3.x)/2, (p2.y + p3.y)/2, (p2.z + p3.z)/2)
    p7 = MQSystem.newPoint((p3.x + p1.x)/2, (p3.y + p1.y)/2, (p3.z + p1.z)/2)
    p8 = MQSystem.newPoint((p3.x + p4.x)/2, (p3.y + p4.y)/2, (p3.z + p4.z)/2)
    p9 = MQSystem.newPoint((p4.x + p1.x)/2, (p4.y + p1.y)/2, (p4.z + p1.z)/2)
    p10 = MQSystem.newPoint((p4.x + p2.x)/2, (p4.y + p2.y)/2, (p4.z + p2.z)/2)
        
    fractal(number-1,p1,p5,p7,p9)
    fractal(number-1,p5,p2,p6,p10)
    fractal(number-1,p7,p6,p3,p8)
    fractal(number-1,p9,p10,p8,p4)
    fractal(number-1,p7,p8,p10,p6)
     
# endfunction fractal()

#main()

fractal(rn,p01,p02,p03,p04)
fractal(rn,p01,p04,p05,p02)

Make sure you have an empty Scene in Metasequoia by clicking File>New then open the Script Editor and paste the code into the upper input pane of the editor.



Press F5 or Script>Run to execute the script and create the object.

Sierpinski Pyramid
by sapper
on Sketchfab