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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 …
The Masked Avenger's user avatar
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 …
The Masked Avenger's user avatar
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 …
The Masked Avenger's user avatar
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 …
The Masked Avenger's user avatar