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Plane Geometry is about flat shapes like lines, circles and triangles , shapes that can be drawn on a piece of paper
2
votes
Inside-out polygonal dissections
Riffing off the tiling comment to another answer, imagine a square penny packing of circles,
and then translate the tiling so that a circle is in the center of four other circles. Now replace
each of …
2
votes
Planar linkage that traces a circle from its exterior?
I don't have a facility with graphics; hopefully the verbal description below will work.
There is a linkage that magnifies: place a tracing stylus at point P, a marking stylus at
point Q, and this li …
1
vote
Lightray trapped between two mirror disks: Computation formulation?
Here is a separate idea, which may give you a better intuition. Let's give clay pigeons a break
and call it shooting at a moving plate.
Setup: pistol P, moving target C parameterized by angle r of …
2
votes
Lightray trapped between two mirror disks: Computation formulation?
Consider the following approach. For the case of two circles, it is clear that there is a stuck ray that "lives"
on the line between the two centers. Pick a point Q near this line and shoot a ray fro …