TECH-MUSINGS

Question: Is there any set of polygons that have the same angle set with each member individually incapable of tiling the plane but togeth...

1. Which convex hexagon is worst for packing (ie leaves largest fraction of plane open)? 2. it has been conjectured that the regular heptag...

We add another very speculative claim to those in the last post . "If a convex planar region C has the property for any positive inte...

Can one make claims of the following type? "If some convex region C allows partition into n convex pieces all of equal area, perimeter...

I am not sure how to find the least area/ least perimeter triangles that contain a set of points on the plane. The guess for both would be t...

Some more tiling questions occured recently. Simply recording them. Hopefully they don't feature in earlier episodes of this series, the...

This is based on this post at mathoverflow: The basic question was how to 'hide' a unit cube which is a source of light with opaq...