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2. List of interactive geometry software - Wikipedia

   en.wikipedia.org/wiki/List_of_interactive...

   Live Geometry is a free CodePlex project that lets you create interactive ruler and compass constructions and experiment with them. It is written in Silverlight 4 and C# 4.0 (Visual Studio 2010). The core engine is a flexible and extensible framework that allows easy addition of new figure types and features.

3. List of open-source software for mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_open-source...

   PARI/GP is a computer algebra system that facilitates number-theory computation. Besides support of factoring, algebraic number theory, and analysis of elliptic curves, it works with mathematical objects like matrices, polynomials, power series, algebraic numbers, and transcendental functions. [3]

4. Circle packing in a square - Wikipedia

   en.wikipedia.org/wiki/Circle_packing_in_a_square

   Solutions (not necessarily optimal) have been computed for every N ≤ 10,000. [2] Solutions up to N = 20 are shown below. [2] The obvious square packing is optimal for 1, 4, 9, 16, 25, and 36 circles (the six smallest square numbers), but ceases to be optimal for larger squares from 49 onwards.

5. Enumerative geometry - Wikipedia

   en.wikipedia.org/wiki/Enumerative_geometry

   2 The number of lines meeting 4 general lines in space; 8 The number of circles tangent to 3 general circles (the problem of Apollonius). 27 The number of lines on a smooth cubic surface (Salmon and Cayley) 2875 The number of lines on a general quintic threefold; 3264 The number of conics tangent to 5 plane conics in general position ; 609250 ...

6. Lists of uniform tilings on the sphere, plane, and hyperbolic ...

   en.wikipedia.org/wiki/Lists_of_uniform_tilings...

   Simple tiles are generated by Möbius triangles with whole numbers p,q,r, ... (6 4 3) V6.8.12 4: 3.12.4.12 ... KaleidoTile 3 Free educational software for Windows by ...

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8. Problem of Apollonius - Wikipedia

   en.wikipedia.org/wiki/Problem_of_Apollonius

   Figure 3: Two given circles (black) and a circle tangent to both (pink). The center-to-center distances d 1 and d 2 equal r 1 + r s and r 2 + r s, respectively, so their difference is independent of r s. The solution of Adriaan van Roomen (1596) is based on the intersection of two hyperbolas. [13] [14] Let the given circles be denoted as C 1, C ...

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