Virtual cutting

Last week I found myself happily lost in a maze of math brain teasers.  Here's one that I really enjoyed: 

Make one cut to the first figure (a) and then rearrange the pieces for the second figure (b).

Answer and next math brain teaser will be revealed tomorrow!
(Problem taken from NCTM Mathematics Teacher Dec 2010/Jan 2011)

Admire the beauty (again)!

Do you remember learning the Pythagorean theorem ( a² + b² = c² ) when you were in school? Well, here's a visual way of showing it.  Eureka.  Isn't it beautiful?

Annairizi of Arabia (circa A.D. 900)

Is anyone out there a quilter?  I bet this would make a really lovely (albeit nerdy) quilt.

Admire the beauty!

My hubby recently showed me a book of different math proofs performed through pictures.  That's right, no words or numbers needed.  Who knew it could be done?  Here's one that I sat pondering awhile. Then, eureka! I got it.  And now I tell you, dear reader, admire the beauty! 

Sum of Cubes:   (Solomon W. Golomb)
1³+ 2³+ 3³+…+ n³ = (1 + 2 + 3 + …+ n)²