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	   "source": [
       "# Chapter 11: Fractals"
	   ]
	},
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		   "metadata": {},
		   "source": [
			"## Example 11.3_1: Dimension_of_Self_Similar_Fractals.sce"
		   ]
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"//Example 11.3.1 Page 407\n",
"//Non-Linear Dynamics and Chaos, First Indian Edition Print 2007\n",
"//Steven H. Strogatz\n",
"clear;\n",
"clear;\n",
"clc;\n",
"close;\n",
"\n",
"// m = number of copies.\n",
"// r = scale factor.\n",
"m=2;\n",
"r=3;\n",
"\n",
"d=log(m)/log(r)\n",
"\n",
"//End of Example."
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 11.3_2: Dimension_of_Self_Similar_Fractals.sce"
		   ]
		  },
  {
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"//Example 11.3.2 Page 407\n",
"//Non-Linear Dynamics and Chaos, First Indian Edition Print 2007\n",
"//Steven H. Strogatz\n",
"clear;\n",
"clear;\n",
"clc;\n",
"close;\n",
"\n",
"// m = number of copies.\n",
"// r = scale factor.\n",
"m=4;\n",
"r=3;\n",
"\n",
"d=log(m)/log(r)\n",
"\n",
"//End of Example."
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 11.3_3: Dimension_of_Self_Similar_Fractals.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
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"source": [
"//Example 11.3.3 Page 408\n",
"//Non-Linear Dynamics and Chaos, First Indian Edition Print 2007\n",
"//Steven H. Strogatz\n",
"clear;\n",
"clear;\n",
"clc;\n",
"close;\n",
"\n",
"// m = number of copies.\n",
"// r = scale factor.\n",
"m=3;\n",
"r=5;\n",
"\n",
"d=log(m)/log(r)\n",
"\n",
"//End of Example."
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 11.4_1: Box_Dimension.sce"
		   ]
		  },
  {
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	   "execution_count": null,
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"//Example 11.4.1 Page 409\n",
"//Non-Linear Dynamics and Chaos, First Indian Edition Print 2007\n",
"//Steven H. Strogatz\n",
"clear;\n",
"clear;\n",
"clc;\n",
"close;\n",
"\n",
"// N(E) = minimum number of D-dimensional cubes of side E needed to cover S.\n",
"\n",
"n=poly(0,'n')                        //Defining polynomial in 'n'\n",
"Num = (n*log(2))                    //Num. = Numerator\n",
"Den = (n*log(3))                    //Den. = Denominator\n",
"disp('The box dimension is :')\n",
"\n",
"d=(Num)/(Den)                       //d = Box Dimension.\n",
"\n",
"\n",
"//End of Example."
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 11.4_2: Box_Dimension.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
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"source": [
"//Example 11.4.2 Page 410\n",
"//Non-Linear Dynamics and Chaos, First Indian Edition Print 2007\n",
"//Steven H. Strogatz\n",
"clear;\n",
"clear;\n",
"clc;\n",
"close;\n",
"\n",
"// N(E) = minimum number of D-dimensional cubes of side E needed to cover S.\n",
"\n",
"n=poly(0,'n')                        //Defining polynomial in 'n'\n",
"Num = (n*log(8))                    //Num. = Numerator\n",
"Den = (n*log(3))                    //Den. = Denominator\n",
"disp('The box dimension is :')\n",
"\n",
"d=(Num)/(Den)                       //d = Box Dimension.\n",
"\n",
"\n",
"//End of Example."
   ]
   }
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