Animations

Merely click on one of the icons below for displaying an enlarged copy. Those enlarged animations typically use more than a megabyte, so if you have a slow link, they may take a good while to load and start moving.

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These are examples of Newton-Raphson animations, which I made as an exercise while initially learning the R language. The idea is to create each frame by some operation over a mathematical equation, and producing an animation through the progressive alteration of the equation. The animation is infinite because the alteration is periodic.

The colour of each pixel, within a frame, is related to one of the root of the equation for that frame. You may find more about algorithmic details, including pointers to the source of the generating program.

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Here is a copy of the animated logo as found within the Recode Web site. This animation is a simple application of the superb Blender tool, and some planning details for this precise logo are also available.

You might notice that the reflection of the logo is illogical, in that each letter of the reflection is vertically rotated by 180°, compared to what it reflects. This is so that when the switch occurs between the letters and their reflection, everything falls back into place for the cycle to repeat.