Link Size Description Hits apolloniancirclepackings.nb 15. The last parameter (here 2) specifies the level up to which the circles are included in the visualization. The first 3-tuple are the integral curvatures of three kissing circles such that the inscribed fourth circle has integral curvature as well. With the above you may visualize a circle packing: Here is the code I wrote in Mathematica to visualize such packings (see below for an example).ĪCPInitialConfiguration[, Then write the equation in general form by multiplying the entire equation by A and then getting on one side of the equation.Today, I have been playing a little bit with Apollonian circle packings. Then write the equation of the perpendicular line in point-slope form where the point you are using is (x, y). A perpendicular line has a slope that is the negative reciprocal of the slope that you've found. Hint: find the slope of the line of the general equation Ax+By+C =0 by solving for y.

Problem 5 a: Write down an equation for Li. View search results from all Wolfram sites (7123 matches) Flatten (Built-in Mathematica Symbol) Flatten list flattens out nested lists. If you name the intersction point q (which you will find in b)) then the distance between p and LO will be the distance between p and q. 1 - 10 of 386 for Flatten. If you use custom prop types, such as Immutable, then you should flatten the. This is done by finding the equation of the line L1 through the point p=(x,y) that is perpendicular to Lo. While I am capable with a myriad of languages (C++, Mathematica, R, etc). The distance between pand is by definition the distance between pand a For problem 5 you will eventually be asked to find the distance between p and the line Lo (you can assume that p is not on the line Lo).

Let Li be the line through pand perpendicular to LO. Let Lo be the line with equation Ax+By+C =0. The effect of this command is two remove all inner brackets from a list with sublists.

Flatten Look up the Flatten command in the documentation center.

Flatten mathematica