A visual example of floating point numbers and their limitations

[T3sl4co1l]

A practical example, too -- floats are used in many games, this one for example!

The abstract lesson is: floating point math is unstable, in sometimes unexpected ways.  You can't increment a float, not for very long (some millions of times).  While you can write an expression in any equivalent mathematical form, some forms are better-behaved than others when it comes to hard numbers.

Tim