# Category Archives: Mathematics

## Sum Of Squares & 9-digit Square Num3ers w/ digits from 1 to 9 #mathchat

Here’s a list of 9-digit numbers (containing digits from 1 to 9) that have 1 or more representations as a sum of 2 squares. For example, the two numbers 1596 and 24837 contain all digits from 1 to 9 only … Continue reading

## Math For All: Exploring Patterns in Pascal’s Triangle

Here’s something to investigate: Look at the triangle using the divisors 3, 5, and 7. Do you see a pattern? What do 3, 5, and 7 have in common? Now try 9. Does the pattern continue? Can you figure out … Continue reading

## Balinese cup trick / candle trick / spinor demonstration

What’s the simplest explanation for this trick? How does this trick relate to the spin-statistics theorem? “It’s the Balinese candle-dance trick, and if you don’t know it, go find someone who can show you how to do it. You hold … Continue reading

## The surprising math of cities and corporations

Physicist Geoffrey West believes that complex systems from organisms to cities are in many ways governed by simple laws — laws that can be discovered and analyzed (Full bio and more links) Physicist Geoffrey West has found that simple, mathematical … Continue reading

## Pascal’s Triangle Puzzle

Find all possible triplets a,b,c that appear as adjacent coefficents in the same row of Pascal’s triangle and form an arithmetic sequence. To build the triangle, start with “1” at the top, then continue placing numbers below it in a … Continue reading