Circumferências como Limite de Poligonos Regulares

[; \underline{\textbf{r}}(t)= \begin{pmatrix} r \cos{t}\\r \sin{t} \end{pmatrix} ;]

1. Circle.py:

   Python Listing: ../../../Code/Circle.py. from Vector import * from Curve import Curve class Circle(Curve): Name="Circle" #Center C=Vector([0.0,0.0]) #Radius r=0.0 def __init__(self,r=1.0,C=None,NP=0): if (C): self.C=C if (NP): self.NP=NP self.r=r self.Closed=True return def R(self,t): return self.C+e(t)*self.r def PMin(self): return Vector([-self.r,-self.r]) def PMax(self): return Vector([self.r,self.r])

2. Em Circles.py:

   Python Listing: ../../../Code/Circles.py. from Vector import Vector,O from Circle import Circle curve=None C=O() files=[] for n in range(2,101): curve=Circle(1.0,C,n) curve.Rs() curve.Init_Canvas() fname="Circle/"+("%03d" % n)+".svg" options={ "stroke": 'black', "style": { "stroke-width": 2, } } curve.Curve_SVG_Line_Write(fname,options) files.append(fname) curve.Curve_Carousel(files)

Gerar os poligonos regulares convergindo para a circumferência de unidade, [; x^2+y^2=1;]
Arquivo executavel: Circles.py. Output: Os arquivos Circle/NNN.svg.

Generated: 31 Dec 1969, 21:00:00

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Base Path: /usr/local/

Glob Path: Slides/1_Disciplines/2_MC/Code/Circle/*.svg