A rhombus PQRS has an angle of 72 degrees. OQ = OR = OS = 1 unit. Find all the angles, show that POR is a straight line and that the side of the rhombus is equal to the Golden Ratio.
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
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.
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 at http://fmslogo.sourceforge.net/.