Animated Mathematics -
Inversion of coordinates
The presentation answers the question:
What kind of transformation is necessary in order to invert a
planar rectangular coordinate system?
It includes three consecutive SVG animations:
- Animated
rotation in order to show that a simple rotation in two dimensions is not enough.
- Two static rotations and an
animated scaling applied simultaneously are used
in order to achieve the visual effect of a three dimensional
rotation around a diagonal axis (of the plane) that performs the required inversion.
- Animated
stroke-opacity is used in order to visualize
a two dimensional mirror transformation that also leads to the required inversion.
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