From: Edwin Fine <efine145-nospam01@...>
Date: 2006-12-08T02:15:50+09:00
Subject: Re: Turtle Graphics (#104)

>      # Move forward by <steps> turtle steps.
>      def forward(steps)
>        raise ArgumentError unless steps.is_a?(Numeric)
>        @xy = [ @xy.first + sin(@heading * DEG) * steps,
>                @xy.last + cos(@heading * DEG) * steps ]
>        @track.last << @xy if @pen_is_down
>      end

I think that you should mention a subtlety here. The calculation of a 
new point is usually

[x,y] = [x_old + dist * cos(theta), y_old + dist * sin(theta)]

Because the turtle geometry is 90 degrees out of phase and rotating in 
the other direction, Pete has flipped the x and y so the new point is

[x,y] = [x_old + dist * sin(theta), y_old + dist * cos(theta)]

Another subtlety is that Pete used atan2, which handles division by zero 
and the ambiguity of which quadrant you are in.

(Well, it was subtle to me!!)

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