# Tag Archives: Pure Math

## Happy 5 2 0 1!

Last year,  in Happy 0 0 1 0 0 1 0 0 0 0 1!, I discussed an interesting way to represent numbers based on their prime factorization.  For example, 63 is represented by 0 2 0 1 because 63 = 20 … Continue reading

## Puzzle #11: The Answer (Pi-Fingered Aliens)

I posted Puzzle #11 on Pi Day (3/14/15 in the U.S.).  I noted that the sequence of numbers in 3.14159… reflects not just π, but also ten, the base we use for our numbers. The question was: What is 30.12120111…? After no … Continue reading

## Puzzle #11: A Pi Day Problem

I thought of this Pi Day puzzle yesterday* while getting a haircut. I was thinking about this video by Vi Hart: Many people think that π is special because of its infinite digits. Hart disagrees. Most numbers are irrational like π, … Continue reading

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## Happy 0 0 1 0 0 1 0 0 0 0 1!

Most systems for representing numbers are a combination of the visible and invisible. In the familiar base-ten system, we represent numbers by linking visible digits to an invisible scaffold of powers of ten. For example, 534.08 implies the respective multiplication … Continue reading

Posted in Fast Formulas, Math, Music | | 3 Comments

## A New(?) Way to Visualize Numbers

After I saw Matt Henderson’s visual demonstration of how the geometric series 1/4 + 1/16 + 1/64 . . . adds to 1/3, I thought about how to generalize this for any geometric series. This led to a way to … Continue reading