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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw== QyQtSSV3aXRoRzYiNiNJJnBsb3RzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlISIi Now will plot the various graphs for each shape. The value a is the radius of our larger circle. The value b is the radius of our smaller circle. n refers to the number of frames, and pts is the number of points the graph will plot for the function. Qyk+SSJhRzYiIiIkIiIiPkkiYkdGJUYnRic+SSJuR0YlIiNPRic+SSRwdHNHRiUiI2c= First we graph our larger circle. QyQ+SSNEMUc2Ii1JJXBsb3RHRiU2JjclKiZJImFHRiUiIiItSSRzaW5HRiU2I0kidEdGJUYsKiZGK0YsLUkkY29zR0YlRi9GLC9GMDsiIiEsJEkjUGlHJSpwcm90ZWN0ZWRHIiIjL0klYXhlc0dGJUklbm9uZUdGJS9JKHNjYWxpbmdHRiVJLGNvbnN0cmFpbmVkR0YlL0kmY29sb3JHRiVJJFJFREdGJSEiIg== Next we graph the smaller circle. QyQ+SSNEMkc2Ii1JKGFuaW1hdGVHRiU2KDclLCYqJiwmSSJhR0YlIiIiSSJiR0YlISIiRi4tSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IyomRi9GLkkia0dGJUYuRi5GLiomRi9GLi1GMjYjSSJ0R0YlRi5GLiwmKiZGLEYuLUkkY29zR0YzRjZGLkYuKiZGL0YuLUZARjtGLkYuL0Y8OyIiISwkSSNQaUdGNCIiIy9GODssJComRkdGLkkibkdGJUYwIiIlRkYvSSV2aWV3R0YlNyQ7LCRGLUYwRi1GUi9JKm51bXBvaW50c0dGJUkkcHRzR0YlL0knZnJhbWVzR0YlRk0vSSZjb2xvckdGJUkmR1JFRU5HRiVGMA== Third we graph a line inside our smaller circle to highlight which fixed point we are using to generate the deltoid curve. 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 The last object we graph is the deltoid curve itself. QyQ+SSNENEc2Ii1JKGFuaW1hdGVHRiU2KDclLCYqJiwmSSJhR0YlIiIiSSJiR0YlISIiRi4tSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IyoqRi9GLkkidEdGJUYuSSJrR0YlRi4tSSIvR0YzNiMsJEkjUGlHRjQiIiNGLkYuRi4qJkYvRi4tRjI2IyoqRixGLkY4Ri5GOUYuRjpGLkYuRjAsJiomRixGLi1JJGNvc0dGM0Y2Ri5GLiomRi9GLi1GR0ZCRi5GLi9GODsiIiFGPS9GOTssJComRj5GLkkibkdGJUYwIiIlRj0vSSV2aWV3R0YlNyQ7LCRGLUYwRi1GVi9JKm51bXBvaW50c0dGJUkkcHRzR0YlL0knZnJhbWVzR0YlRlEvSSZjb2xvckdGJUklQkxVRUdGJUYw We put all four together and get the mighty deltoid! LUkoZGlzcGxheUc2IjYmSSNEMUdGJEkjRDJHRiRJI0QzR0YkSSNENEdGJA== JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=