Harmony occurs in music when two pitches vibrate at frequencies in small integer ratios. It is a remarkable(!) coincidence that27/12 is very...
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Mind-Reading Number Trick
Think of a number, any positive integer (but keep it small so you can do computations in your head). 1....
Continue reading...Rental Harmony
You and your college friends decide to rent a house together, and the N of you have found a house...
Continue reading...Binary Card Trick
You put a deck of cards in your pocket, and invite anyone in the audience to call out a number between 1...
Continue reading...Four Color Theorem
Are four colors always enough to color any map so that no two countries that share a border (in more...
Continue reading...Wallis’ Formula
Here’s a fun formula for Pi involving an infinite product, known as Wallis’ Formula: (Pi/2) = (2*2)(4*4)(6*6)/(1*3)(3*5)(5*7) It is somewhat surprising that...
Continue reading...Red-Black Card Trick
Here’s a pretty easy card trick that you can do that can also be pretty surprising. Here’s how the trick...
Continue reading...Proof with Words
2 + 11 – 1 = 12. Figure 1 demonstrates a “proof with words”! Presentation Suggestions:Write the letters for two and...
Continue reading...Kaprekar’s Constant
Take any four digit number (whose digits are not all identical), and do the following: Rearrange the string of digits...
Continue reading...Making History by Card Shuffling
Did you know that whenever you shuffle a deck of cards, it is quite likely that you are making history?...
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