TECH-MUSINGS

Seeking a little clarification on https://arxiv.org/pdf/2004.01034 The paper establishes that there are tilings of the plane by convex qu...

This continues an old thread on oriented containers with latest episode here How does one find the least area convex kite that contains...

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...