Meara O'Reilly's Chladni singing

"Chladni patterns were discovered by Robert Hook and Ernst Chladni in the 18th and 19th centuries. They found that when they bowed a piece of glass covered in flour, (using an ordinary violin bow), the powder arranged itself in resonant patterns according to places of stillness and vibration. Today, Chladni plates are often electronically driven by tone generators and used in scientific demonstrations, but with carefully sung notes (and a transducer driving the plate), I'm able to explore the same resonances." - Meara O'Reilly

Here is a video of O'Reilly making amazing, shifting geometric patterns by singing a sequence of notes:

Shoelace fanatic

Thanks Andrew for this wee gem, if gem is the word I want...Ian's shoelace site shows you the many options available to you when lacing your shoes.

It also details why there are almost 2 trillion possible ways of lacing a 12-eyelet boot.

And there are some very pretty lacing patterns: check out the hexagram and pentagram, just for starters.

And for those among us who struggle with the basics, there is help to avoid slipping knots and crooked bows!

What a wonderful site. :-)

Finally, an animated kangaroo tessellation

No, I'm not kidding! It's here. I wonder if making an animation ever occurred to Escher? :-)

Tesselations

Islamic polygonal tiling is so mathematically sophisticated that only in recent years can mathematicians really appreciate it! The BBC article is here.