a fixed angle to change direction and linearly increasing steps will build a
spirangle.
6
A spirangle is like a spiral, but it has straight edges. Therefore,
with this type of movement, the turtle will leave a spirangle trail behind.
If the wandering turtle turns through a right angle, he’ll build up a rectangular,
or four-angle spirangle. Starting with a smaller step size, he moves forward
and turns through 90 degrees, twice. He increases the step size and does this
again—forward, turn, forward, turn. By starting at the small circle, he’ll leave
a trail like the one in the following figure:
The arrows show which way he’s moving. By choosing different angles, you
get different shapes. If you can’t decide what to try, pick a few different angles
at random and vary at what point he changes the step size.
To recap, the turtle can move in straight lines or spirangles. He can also make
lots of concentric shapes. For example, drawing a small square, then a larger
one, and so on until he’s drawn a few outside the bag. He’ll have to jump to do
this. But as long as he draws at least one point outside of the bag, he succeeds.
Of course, the turtle can also pick moves at random, but you’ll have no
guarantee that he’ll end up on the outside of the bag. In fact, many of the
algorithms in this book use randomness, whether they be random points in
space or random solutions. However, these algorithms will either make can-
didate solutions guide each other, or they will compel their movement to
behave in ways more likely to solve the problems. Learning needs more than
random attempts, but it can start there.
6.
en.wikipedia.org/wiki/Spirangle
report erratum • discuss
Your Mission: Find a Way Out • 5
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