This guy sure knows how to have fun with Goldberg polyhedra!
Here's glassblower Alan Bennett's astounding triple-nested Klein bottle, a beautiful thing:
A single surface model made by Alan Bennett in Bedford, United Kingdom. It consists of three Klein bottles set inside each other to produce, when cut, three pairs of single-twist Mobius strips. A Klein bottle has no edges, no outside or inside and cannot be properly constructed in three dimensions.
Klein bottle, 1995.
(Image: Science Museum/Science & Society Picture Library)
No, that's not a euphemism for anything. Buffon's Needle
is an 18th-century experiment in probability mathematics and geometry that can be used as a way to calculate pi through random sampling. This WikiHow posting explains how you can recreate Buffon's Needle at home, by playing with your food
. — Maggie
Duann from Shapeways sez, "Infinite bacon is now possible direct from Shapeways 3D printers. The dream of 3D printing food, infinite possibilities, infinite supply is now possible with the ultimate food to infinity, 3D printed Bacon Mobius Strip.
Finally it is possible, infinite 3D printed bacon with the Bacon Mobius Strip that is not delicious but also vegan and kosher friendly."
3D Printing Bacon to Infinity (VIDEO)
The incomparably great Vihart continues her Doodling in Math Class video series with a history and demonstration of the miraculous Hexaflexagon, a simple-to-fold paper hexagon that contains several iterations of itself, which can be found by turning it inside-out over and over again. Sure to delight, inform, entertain, and mystify!
Historical Note: This video is based on a true story. Arthur H. Stone really did invent the hexaflexagon after playing with the paper strips he'd cut off his too-wide British paper, and really did start a flexagon committee (which we'll hear more about in the next video). The details and dialogue, however, are my own invention.
(Thanks, Fipi Lele!)