Just experimenting.
Do note that if the free points fall inside the circle, the colored lines are no longer polars. I let them pass into tangents.
A miniature game could be fun to make. Giant, severed talking head. Musics. We'll see. Time, time time how you race.
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Pole and Polar:
1. Basic construction: [url]http://www.geogebratube.org/material/show/id/34578[/url]
2. Reduced Construction (& Vectors): [url]http://www.geogebratube.org/material/show/id/34585[/url]
[b]→3. Ruslan and Ludmila[/b]
Fin.