[MWForum]Circle and arc help
Daniel Ajoy
mwforum@lists.mathcats.com
Sun, 20 Feb 2005 14:17:10 -0500
--Message-Boundary-26826
Content-type: text/plain; charset=US-ASCII
Content-transfer-encoding: 7BIT
Content-description: Mail message body
On 20 Feb 2005 at 17:53, David Longman wrote:
> Another circle solution. This one treats the Turtle more like a robot than a graphics pen.
>
> No trigonometry at all!
>
> (Using MSWLogo)
>
> Here is version 1:
> to crawl
> if (distance :c) < :r [lt 1] ;if too close to centre of object turn away
> if (distance :c) > :r [rt 1] ;if too far from centre turn towards
> fd 1
> crawl
> end
Thanks David,
And, if you were following the ellipse discussion in the LogoForum
group, here a is yet another way to draw an ellipse: using crawl.
The code is for MicroWorlds (notice how distance receives a
turtle name as input, not a coordinate) (a MW project is attached ;)
to crawl
if composed_distance < :r [lt 1] ;if too close to centre of object turn away
if composed_distance > :r [rt 1] ;if too far from centre turn towards
fd 1
crawl
end
to composed_distance
output (distance "t2) + (distance "t3)
end
to ini
cg
make "r 300
t1, pu setpos [-100 0] pd
t2, pu setpos [-50 0] pd
t3, pu setpos [150 0] pd
t1, crawl
end
Daniel
OpenWorld Learning
http://mia.openworldlearning.org
--Message-Boundary-26826
Content-type: Application/Octet-stream; name="ellipse.mw2"; type=Unknown
Content-disposition: attachment; filename="ellipse.mw2"
Content-transfer-encoding: BASE64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--Message-Boundary-26826--