Space Symmetry Structure

I wrote my inversion script mainly for 3D objects , but I realised afterwards it had the nice byproduct of being able to invert bitmaps :

Notice how the globe remains circular – circles always map to circles

This is the result of some of my early experiments in Rhinoscript. Its a plugin I wrote that creates a family of surfaces called the Cyclides of Dupin.

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I have written a program for Rhino which performs the mathematical transformation of ‘inversion with respect to a sphere’. This transformation has many beautiful properties and reveals some surprising symmetries. It also relates in a deep and beautiful way to Einstein’s theory of Relativity.

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Have you ever wondered why perspective drawing using vanishing points works ?

What are these mysterious points that all lines point towards ?, Where are they ?

Well I can do better than just tell you where they are – I can show you what it looks like from there ! (more…)