Turn on turbo mode (shift click the green flag) before starting the project. Click on 'The Math' to learn more about what an Apollonian gasket is, and how it is made. Click on 'Examples' to see an example of a fully rendered Apollonian gasket. Click on 'Render Now' to make your own Apollonian gasket. You must set the ratio of the two starting circles, and the minimum size of the circles before you begin. Setting the size too small leads to a much longer rendering time, but more detail around the larger circles. This project is 100% pen
Please look up 'The Kiss Precise' by Frederick Soddy, who originally devised the theorem relating to mutually tangent circles. let a,b,c,and d be the bends of the four circles a*a+b*b+c*c+d*d=0.5(a+b+c+d)*(a+b+c+d) The sum of their squares is one half the square of their sum* (talking about the bends of the circles) Credit to: Graphics (including text) : @Greybird Mathematics : Descartes Theorem Can anyone convert the equation: z=(aw+bx+cy+-2sqrt(abwx+acwy+bcxy))/d where a, b, c, and d are the bends of the circles, and w, x ,y and z are the circle centers expressed in the form (x+yi) into a form where scratch can understand it without having to deal with the number ' i ' *quote from 'The Kiss Precise' Remember: the project is still rather glitchy.
