Différences
Ci-dessous, les différences entre deux révisions de la page.
| Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente | ||
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travaux:arbre_fractal [2010/05/09 15:38] nico |
travaux:arbre_fractal [2010/10/05 00:19] nico |
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| + | {{tag>programmation python maya maths}} | ||
| + | ======Arbre fractal====== | ||
| + | Par position/rotation (polygonal) : | ||
| + | |||
| + | <file python fractalTree.py> | ||
| + | from maya.cmds import polyCube,xform | ||
| + | from math import cos,sin | ||
| + | |||
| + | def tree(x,y,z,a,b,l,w,r,s,it,lvl=0): | ||
| + | if(lvl<it): | ||
| + | polyCube(h=l,w=w,d=w) | ||
| + | xform(relative=1, | ||
| + | translation=(x,y,z), | ||
| + | rotation=(-50*b,0,90+a*50), | ||
| + | pivots=(0,l*.5,0) | ||
| + | ) | ||
| + | x2 = x + l*cos(a)*cos(b) | ||
| + | y2 = y + l*cos(a)*sin(b) | ||
| + | z2 = z + l*sin(a) | ||
| + | tree(x2,y2,z2,a+s,b,l*r,w*r,r,s,it,lvl+1) | ||
| + | tree(x2,y2,z2,a-s,b,l*r,w*r,r,s,it,lvl+1) | ||
| + | tree(x2,y2,z2,a,b+s,l*r,w*r,r,s,it,lvl+1) | ||
| + | tree(x2,y2,z2,a,b-s,l*r,w*r,r,s,it,lvl+1) | ||
| + | |||
| + | tree(0,0,0, # position | ||
| + | 0,0, # angle (alpha,beta) | ||
| + | 1.0,.1, # size (length,width) | ||
| + | .7, # size factor | ||
| + | 1, # spreading (0<x<pi/2) | ||
| + | 5) # iterations | ||
| + | | ||
| + | </file> | ||
| + | |||
| + | Par position (courbes) : | ||
| + | |||
| + | <file python fractalTreeCV.py> | ||
| + | from maya.cmds import curve | ||
| + | from math import cos,sin | ||
| + | |||
| + | class FractalTree(): | ||
| + | '''Tree in one curve (inexact but light)''' | ||
| + | def __init__(self): | ||
| + | self.pts = [] | ||
| + | self.it = 7 # tree iterations | ||
| + | self.r = .7 # branch length factor | ||
| + | self.s = .5 # branch spreading (0<x<pi/2) | ||
| + | self.d3 = True # 3D or 2D tree | ||
| + | self.branch() | ||
| + | curve(p=self.pts,d=1) | ||
| + | def branch(self, | ||
| + | x=0,y=0,z=0, # branch position | ||
| + | a=0,b=0, # branch angle | ||
| + | l=10, # branch length | ||
| + | lvl=0 # branch iteration | ||
| + | ): | ||
| + | if(lvl<self.it): | ||
| + | self.pts.append((x,y,z)) | ||
| + | x2 = x + l*cos(a)*cos(b) | ||
| + | y2 = y + l*cos(a)*sin(b) | ||
| + | z2 = z + l*sin(a) | ||
| + | self.branch(x2,y2,z2,a+self.s,b,l*self.r,lvl+1) | ||
| + | self.branch(x2,y2,z2,a-self.s,b,l*self.r,lvl+1) | ||
| + | if(self.d3): | ||
| + | self.branch(x2,y2,z2,a,b+self.s,l*self.r,lvl+1) | ||
| + | self.branch(x2,y2,z2,a,b-self.s,l*self.r,lvl+1) | ||
| + | |||
| + | tree = FractalTree() | ||
| + | </file> | ||
| + | |||
| + | <file python fractalTreeMultiCV.py> | ||
| + | from maya.cmds import curve | ||
| + | from math import cos,sin | ||
| + | |||
| + | class FractalTree(): | ||
| + | '''Every branch is a curve (exact, 20.000+ curves in it-8)''' | ||
| + | def __init__(self): | ||
| + | self.it = 6 # tree iterations | ||
| + | self.r = .7 # branch length factor | ||
| + | self.s = .5 # branch spreading (0<x<pi/2) | ||
| + | self.d3 = True # 3D or 2D tree | ||
| + | self.branch() | ||
| + | def branch(self, | ||
| + | x=0,y=0,z=0, # branch position | ||
| + | a=0,b=0, # branch angle | ||
| + | l=10, # branch length | ||
| + | lvl=0 # branch iteration | ||
| + | ): | ||
| + | if(lvl<self.it): | ||
| + | x2 = x + l*cos(a)*cos(b) | ||
| + | y2 = y + l*cos(a)*sin(b) | ||
| + | z2 = z + l*sin(a) | ||
| + | curve(p=[(x,y,z),(x2,y2,z2)],d=1) | ||
| + | self.branch(x2,y2,z2,a+self.s,b,l*self.r,lvl+1) | ||
| + | self.branch(x2,y2,z2,a-self.s,b,l*self.r,lvl+1) | ||
| + | if(self.d3): | ||
| + | self.branch(x2,y2,z2,a,b+self.s,l*self.r,lvl+1) | ||
| + | self.branch(x2,y2,z2,a,b-self.s,l*self.r,lvl+1) | ||
| + | |||
| + | tree = FractalTree() | ||
| + | </file> | ||
| + | |||
| + | {{gallery>:galerie?fractaltree*&500x500&nocrop&showtitle}} | ||
| + | |||
| + | ~~DISCUSSION~~ | ||
