random.ipynb

Kernel: Python 2 (SageMath)

import math 

class JuliaSet:
    def __init__(self, c, n = 100):
        #c is the first of two initialized values and
        #is a complex number that acts as a seed.
        #n is the other value and it is an integer of
        #maximum iterations.
        self.c = c
        self.n = n
        self._d = 0.001
        self.makeplane()
        #_d is an instance attribute and a float.
          
    def juliamap(self, z):
        #z is a complex number in this method
        return (z ** 2 ) + self.c
    
    def iterate(self, z):
        m = 0
        while True:
            z = self.juliamap(z)
            m += 1
            if (z.real**2 + z.imag**2) > 4:
                return m
            if m >= self.n:
                return 0
            
    def makeplane(self):
        self._complexplane = [complex(r * self._d, s * self._d) for r in range(-2000, 2000, 2) for s in range (-2000, 2000, 1)]
        #self._complexplane is a class instance attribute
            
    #def makeplane(self):
        #nmax = int(4 / self._d)
        #self._complexplane = []
        #for x in xrange(-nmax,nmax,1):
            #for y in xrange(-nmax,nmax,1):
                #self._complexplane.append(complex(x * self._d, (y * self._d)))
                #self._complexplane is a class instance attribute
            
    #def makeplane(self):
        #self._complexplane = []
        #for x in range(-2000,2000,1):
            #for y in range(-2000,2000,1):
                #self._complexplane.append(complex(x * self._d, (y * self._d)))
                #self._complexplane is a class instance attribute
            
    def set_spacing(self, d):
        self._d = d
        self.makeplane()
        
    def generate(self):
        self.set = [self.iterate(i) for i in self._complexplane]




PY
import math 

class JuliaSet:
    def __init__(self, c, n = 100):
        #c is the first of two initialized values and
        #is a complex number that acts as a seed.
        #n is the other value and it is an integer of
        #maximum iterations.
        self.c = c
        self.n = n
        self._d = 0.001
        self.makeplane()
        #_d is an instance attribute and a float.
          
    def juliamap(self, z):
        #z is a complex number in this method
        return (z ** 2 ) + self.c
    
    def iterate(self, z):
        m = 0
        while True:
            z = self.juliamap(z)
            m += 1
            if (z.real**2 + z.imag**2) > 4:
                return m
            elif m >= self.n:
                return 0
            
    def makeplane(self):
        nmax = int(4 / self._d)
        self._complexplane = []
        for x in xrange(-nmax,nmax,1):
            for y in xrange(-nmax,nmax,1):
                self._complexplane.append(complex(x * self._d, (y * self._d)))
                #self._complexplane is a class instance attribute
            
    def set_spacing(self, d):
        self._d = d
        self.makeplane()
        
    def generate(self):
        self.set = [self.iterate(i) for i in self._complexplane]

ANOTHER PY

import math

class JuliaSet:
    def __init__(self, c, n = 100):
        self.c = c
        self.n = n
        self._d = 0.001
        self._e = int(2 / self._d)
        self.complexplane[complex(r * self._d,(s * self._d)) for s in range(-self._e, self._e,1) for r in range(-self._e,self._e,1)]

    def juliamap(self, z):
        return (z ** 2 ) + self.c

    def iterate(self, z):
        for m in range(1, self.n+1):
            z = self.juliamap(z)
            if (z.real**2 + z.imag**2) > 4:
                return m
            if m >= self.n:
                return 0

    #def makeplane(self):
        #self._complexplane = [complex(r * self._d, s * self._d) for r in range(-2000, 2000, 2) for s in range (-2000, 2000, 1)]

    def set_spacing(self, d):
        self._d = d
        self._e = int(2 / self._d)
        self.complexplane[complex(r * self._d,(s * self._d)) for s in range(-self._e, self._e,1) for r in range(-self._e,self._e,1)]

    #def generate(self):
        #self.set = [self.iterate(i) for i in self._complexplane]