The Order slider controls the number of right turns. For example, Order 3 is: move forward 'x' steps, turn right 90, move forward '2x' steps, turn right 90, move forward '3x' steps, turn right 90. The Cycles slider controls how many times the Order is repeated. There is a mathematical relationship between Order and Cycle that would let you program each possible Order so that it closes at the exact number of needed Cycles or it computes that the Order will never close and limits its number of cycles (so that the robot doesn't wander off to infinity. If you play with this enough to find the relationshIp, why don't you remix the project?
Way back in the early 1980s the first Apple II program I saw programmed the graph paper exploration we used at that time with students called 'Spirolaterals'. I have a Norland small robot that uses my TI-83+ as its brain. I wrote the move-turn sections to slow down the robot sprite so that it more accurately mimics the real Norland robot. The Norland robot makes a whirring sound I found irritating in the project so I left it out. I use the Norland robot to show the difference between the purity of abstract mathematics (a 90 degree turn is 90 degrees) and the messiness of engineering where gravity, friction, and cheap materials limit accuracy (a 90 degree turn is 90 degrees plus or minus hardware error).
