### Continued Fractions I

An article introducing continued fractions with some simple puzzles for the reader.

### LOGO Challenge - Circles as Bugs

Here are some circle bugs to try to replicate with some elegant programming, plus some sequences generated elegantly in LOGO.

Using logo to investigate spirals

# Gnomon Dimensions

##### Stage: 4 Challenge Level:

Here are the perimeters of $G_6$.

Here are the perimeters of $G_6$ rewritten in terms of their Fibonacci numbers ($F_1 = 1, F_2 = 1, F_3 = 2, F_4 =3$ and so on).

Could you draw diagrams showing in general how two gnomons fit together to make a third gnomon?