## You are here

Homemathematical proof that no two snowflakes are identical

## Primary tabs

# mathematical proof that no two snowflakes are identical

## Question

It’s a bit of common wisdom that no two snowflakes are identical. But how can we really be sure that, for example, there has never fallen in Denver a snowflake exactly like one in Antarctica?

If a proof exists for this, it would probably draw on both geometry and combinatorics, and possibly even chaos theory. What is the maximum number of possible snowflakes? I believe it is a rather large number (like Graham’s number) but nevertheless finite. But if it is infinite, the proof might be easier. An MSC in combinatorics would almost certainly be warranted.

What kind of question is this:

Request

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections

## Comments

## probability.

## Re: probability. (of two snowflakes being exactly alike)

## Re: probability. (of two snowflakes being exactly alike)

## Re: probability. (of two snowflakes being exactly alike)

## Re: probability. (of two snowflakes being exactly alike)

## Re: probability. (of two snowflakes being exactly alike)