### Darts and Kites

Explore the geometry of these dart and kite shapes!

### Roaming Rhombus

We have four rods of equal lengths hinged at their endpoints to form a rhombus ABCD. Keeping AB fixed we allow CD to take all possible positions in the plane. What is the locus (or path) of the point D?

### Center Path

Four rods of equal length are hinged at their endpoints to form a rhombus. The diagonals meet at X. One edge is fixed, the opposite edge is allowed to move in the plane. Describe the locus of the point X and prove your assertion.

# LOGO Challenge 2 - Diamonds Are Forever

##### Stage: 2, 3 and 4 Challenge Level:

It is useful to feel comfortable using procedures, though if you have not met procedures before- this might help you feel why they might be useful. More about procedures can be found in FIRST FORWARD 6 and in the next challenges.

The challenge is to produce elegant solutions to the problem. Elegance here implies simplicity. The focus is on rhombi. Or:

REPEAT 2 [ FD 40 RT 60 FD 40 RT 120]

The design below is part of tile seen in a shop - sadly now closed, at King's Cross in London. Can you generate it in as elegant a fashion as possible?

You can download some excellent free LOGO software from the internet atÂ http://fmslogo.sourceforge.net/.