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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
Pages
Posts
A (Detailed) Look at the Four Color Theorem
Published:
A proof that went undone for eighty years. We’ll go from maps, to planar graphs, to Kempe chains, to the final computer assisted solution.
Putting #1 First – Deriving Benford’s Law
Published:
Looking at when this elusive “first-digit law” does (and doesn’t) apply.
Mathematicians’ Many Hats
Published:
Solving riddles about hat colors with logic and a bit of set theory.
A Variation on Bertrand’s Paradox
Published:
Understanding the importance of a well-posed problem by examining a math problem with 3 different “correct” solutions.
Inside Out Universe – The (Legitimate) Hollow Earth Theory
Published:
Using projective geometry to invert the world as we know it.
Buffon’s Needles and Noodles
Published:
A probability exercise leads to an exploration of circles and other shapes of constant width.
Rainbows and Optics
Published:
Finding the reason for a rainbow by analyzing a single spherical drop of water.
Spatial Reasoning Brainteaser
Published:
A simple puzzle involving engineering drawings.
Error and Multiple Measurements
Published:
Mathematically quantifying error a.k.a. being right about how wrong you are.
Buoyancy and Perpetual Motion
Published:
Debunking a convincing “free-energy” device