TECH-MUSINGS
Thoughts On Algorithms, Geometry etc...
Monday, June 15, 2026
Mutually non-congruent inscribed triangles in a polygon
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We add some more to this mathoverflow post on convex polygons - and general convex regions - that have multiple least area (and least perim...
Friday, January 23, 2026
Putting N points on a Spherical Surface
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One could think of several ways to optimally put N points (call these "vertices") on a spherical surface: ------- 1. Such that th...
Saturday, September 27, 2025
Non- congruent tiling - one more
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Seeking a little clarification on https://arxiv.org/pdf/2004.01034 The paper establishes that there are tilings of the plane by convex qu...
Sunday, September 07, 2025
Oriented containers - kites
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This continues an old thread on oriented containers with latest episode here How does one find the least area convex kite that contains...
Wednesday, May 14, 2025
One more non congruent tiling thought
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Question: Is there any set of polygons that have the same angle set with each member individually incapable of tiling the plane but togeth...
Friday, April 11, 2025
Packing - some more thoughts
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1. Which convex hexagon is worst for packing (ie leaves largest fraction of plane open)? 2. it has been conjectured that the regular heptag...
Tuesday, March 18, 2025
Stretching Fair Partitions - 2
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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...
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