[MWForum]Circle and arc help
Susan Einhorn
mwforum@lists.mathcats.com
Thu, 17 Feb 2005 11:14:23 -0500
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This has been a great discussion on how to create different procedures to
draw a circle. This is a great challenge for students. Here's another
circle-drawing procedure from a new book about Math and MicroWorlds that's
being developed by LCSI (authored by Wendy Petti):
to circle
pu
repeat 360 [ fd 50 pd fd 0 pu bk 50 rt 1]
end
With an input:
to circle :r
pu
repeat 360 [fd :r pd fd 0 pu bk :r rt 1]
end
If you're not familiar with the pd fd 0 trick, it creates a dot without
displacing the turtle. If the radius for this circle is too large, there are
gaps between the dots in the circumference. To make the dots closer together
decrease the size of the turn (e.g., rt 1 / 2)and increase the input to
repeat accordingly (repeat 360 * 2).
That makes three (or four, although the old Apple Logo method is a variation
of Shawn's method) different ways to draw a circle. If you think about it,
I'm sure you could come up with even more.
Susan
-------------------------------
Susan Einhorn
LCSI
www.MicroWorlds.com
susan@lcsi.ca
-----Original Message-----
From: mwforum-admin@lists.mathcats.com
[mailto:mwforum-admin@lists.mathcats.com]On Behalf Of Logo Computer Systems
Inc.
Sent: Thursday, February 17, 2005 10:34 AM
To: mwforum@lists.mathcats.com
Subject: Re: [MWForum]Circle and arc help
Hi!
Could you program the circle with a variable (or 2) to make it easy to make
different sized circles? And how about the arc?
Would the spell checker from MSWord work with Pro or EX on Mac OS 10)?
Hi Kate,
I used the following procedure in a -tools-.txt file and was able to create
different sized circles.
to cir :r
repeat 360 [fd 2 * pi * :r / 360 rt 1]
end
Unfortunately, the spell checker features are only included with Windows
versions of Pro and EX. I used to use an OS 9 application called,
SpellTools which is available at no charge for download from the following
address: http://mac.softpedia.com/progDownload/SpellTools-Download-1097.html
It's a universal spell checker that works with all of your text oriented
applications. I have never tried it under OS X.
Regards.
Shawn
--
Logo Computer Systems Inc.
1 Westmount Square, Suite 300
Montreal,QC Canada
H3Z 2P9
info@lcsi.ca
www.lcsi.ca
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<div class=3DSection1>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>Th=
is has
been a great discussion on how to create different procedures to draw a =
circle.
This is a great challenge for students. Here’s another =
circle-drawing procedure
from a new book about Math and MicroWorlds that’s being developed =
by LCSI <span
style=3D"mso-spacerun: yes"> </span>(authored by Wendy =
Petti):<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'><!=
[if =
!supportEmptyParas]> <![endif]><o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>to=
circle<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>pu=
<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>re=
peat 360
[ <span style=3D"mso-spacerun: yes"> </span>fd 50 pd fd 0 pu bk 50 =
rt 1]<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>en=
d<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'><!=
[if =
!supportEmptyParas]> <![endif]><o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>Wi=
th an
input:<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>to=
circle
:r<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>pu=
<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>re=
peat 360
[fd :r pd fd 0 pu bk :r rt 1]<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>en=
d<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'><!=
[if =
!supportEmptyParas]> <![endif]><o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>If=
you’re
not familiar with the pd fd 0 trick, it creates a dot without displacing =
the
turtle. If the radius for this circle is too large, there are gaps =
between the
dots in the circumference. To make the dots closer together decrease the =
size
of the turn (e.g., rt 1 / 2)and increase the input to repeat accordingly
(repeat 360 * 2).<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'><!=
[if =
!supportEmptyParas]> <![endif]><o:p></o:p></span></font></span></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'>Th=
at makes
three (or four, although the old Apple Logo method is a variation of =
Shawn’s
method) different ways to draw a circle. <span style=3D"mso-spacerun:
yes"> </span>If you think about it, I’m sure you could come =
up with even
more.<o:p></o:p></span></font></span></p>
<p class=3DMsoNormal style=3D'tab-stops:275.25pt'><span =
class=3DEmailStyle17><font
size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'><span =
style=3D'mso-tab-count:1'>  =
; =
&=
nbsp; &n=
bsp; &nb=
sp; &nbs=
p;  =
; =
</span><o:p></o:p></span></font></span></p>
<p class=3DMsoAutoSig><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial;color:navy'>Susan</spa=
n></font><font
size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial;color:navy;mso-color-alt:windowtext'><o:p></o:p>=
</span></font></p>
<p class=3DMsoAutoSig><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial;color:navy'>----------=
---------------------</span></font><font
color=3Dnavy face=3DArial><span =
style=3D'font-family:Arial;color:navy;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>
<p class=3DMsoAutoSig><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial;color:navy'>Susan =
Einhorn</span></font><font
size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial;color:navy;mso-color-alt:windowtext'><o:p></o:p>=
</span></font></p>
<p class=3DMsoAutoSig><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial;color:navy'>LCSI</span=
></font><font
size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial;color:navy;mso-color-alt:windowtext'><o:p></o:p>=
</span></font></p>
<p class=3DMsoAutoSig><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial;color:navy'>www.MicroW=
orlds.com</span></font><font
size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial;color:navy;mso-color-alt:windowtext'><o:p></o:p>=
</span></font></p>
<p class=3DMsoAutoSig><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial;color:navy'>susan@lcsi=
.ca</span></font><font
size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial;color:navy;mso-color-alt:windowtext'><o:p></o:p>=
</span></font></p>
<p class=3DMsoNormal><span class=3DEmailStyle17><font size=3D2 =
color=3Dnavy face=3DArial><span
style=3D'font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Arial'><!=
[if =
!supportEmptyParas]> <![endif]><o:p></o:p></span></font></span></p>
<p class=3DMsoNormal style=3D'tab-stops:325.5pt'><span =
class=3DEmailStyle17><font
size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'><span =
style=3D'mso-tab-count:1'>  =
; =
&=
nbsp; &n=
bsp; &nb=
sp; &nbs=
p;  =
; =
&=
nbsp; </span><o:p></o:p></span></font></span></p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D2 =
color=3Dblack
face=3DTahoma><span =
style=3D'font-size:10.0pt;font-family:Tahoma;color:black'>-----Original
Message-----<br>
<b><span style=3D'font-weight:bold'>From:</span></b> =
mwforum-admin@lists.mathcats.com
[mailto:mwforum-admin@lists.mathcats.com]<b><span =
style=3D'font-weight:bold'>On
Behalf Of </span></b>Logo Computer Systems Inc.<br>
<b><span style=3D'font-weight:bold'>Sent:</span></b> Thursday, February =
17, 2005
10:34 AM<br>
<b><span style=3D'font-weight:bold'>To:</span></b> =
mwforum@lists.mathcats.com<br>
<b><span style=3D'font-weight:bold'>Subject:</span></b> Re: =
[MWForum]Circle and
arc help</span></font></p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
face=3D"Times New Roman"><span
style=3D'font-size:12.0pt'><![if =
!supportEmptyParas]> <![endif]><o:p></o:p></span></font></p>
<p class=3DMsoNormal =
style=3D'margin-right:.5in;mso-margin-top-alt:auto;mso-margin-bottom-alt:=
auto;margin-left:1.0in'><font size=3D3 color=3Dblack face=3D"Times New =
Roman"><span
style=3D'font-size:12.0pt;color:black'>Hi!<br>
Could you program the circle with a variable (or 2) to make it easy to =
make
different sized circles? And how about the arc?</span></font><font =
color=3Dblack><span
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal =
style=3D'margin-right:.5in;mso-margin-top-alt:auto;mso-margin-bottom-alt:=
auto;margin-left:1.0in'><font size=3D3 color=3Dblack face=3D"Times New =
Roman"><span
style=3D'font-size:12.0pt;color:black'>Would the spell checker =
from MSWord
work with Pro or EX on Mac OS 10)?</span></font><font =
color=3Dblack><span
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal =
style=3D'margin-right:.5in;mso-margin-top-alt:auto;mso-margin-bottom-alt:=
auto;margin-left:1.0in'><font size=3D3 color=3Dblack face=3D"Times New =
Roman"><span
style=3D'font-size:12.0pt;color:black'><![if =
!supportEmptyParas]> <![endif]></span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span style=3D'font-size:12.0pt;color:black'>Hi =
Kate,</span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'><![if =
!supportEmptyParas]> <![endif]></span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span style=3D'font-size:12.0pt;color:black'>I =
used the
following procedure in a -tools-.txt file and was able to create =
different
sized circles.</span></font><font color=3Dblack><span =
style=3D'color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'><![if =
!supportEmptyParas]> <![endif]></span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D5 =
color=3Dblack
face=3DTimes><span =
style=3D'font-size:18.0pt;font-family:Times;mso-bidi-font-family:
Times;color:black'>to cir :r<br>
repeat 360 [fd 2 * pi * :r / 360 rt 1]</span></font><font =
color=3Dblack><span
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D5 =
color=3Dblack
face=3DTimes><span =
style=3D'font-size:18.0pt;font-family:Times;mso-bidi-font-family:
Times;color:black'>end</span></font><font color=3Dblack><span =
style=3D'color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'>Unfortunately,
the spell checker features are only included with Windows versions of =
Pro and
EX. I used to use an OS 9 application called, SpellTools which is
available at no charge for download from the following address:
http://mac.softpedia.com/progDownload/SpellTools-Download-1097.html =
It's a universal spell checker that works with all of your text oriented
applications. I have never tried it under OS X.</span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'><![if =
!supportEmptyParas]> <![endif]></span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'>Regards.</span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'><![if =
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color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'>Shawn</span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'> </span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
<pre style=3D'margin-left:.5in'><font size=3D2 color=3Dblack =
face=3D"Courier New"><span
style=3D'font-size:10.0pt;color:black'><x-sigsep>-- </span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/pre>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D3 =
color=3Dblack
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt;color:black'><![if =
!supportEmptyParas]> <![endif]></span></font><font
color=3Dblack><span =
style=3D'color:black;mso-color-alt:windowtext'><o:p></o:p></span></font><=
/p>
</x-sigsep>
<p class=3DMsoNormal style=3D'margin-left:.5in'><font size=3D2 =
color=3Dblack
face=3DGeneva><span =
style=3D'font-size:10.0pt;font-family:Geneva;color:black'>Logo
Computer Systems Inc.<br>
1 Westmount Square, Suite 300<br>
Montreal,QC Canada<br>
H3Z 2P9<br>
info@lcsi.ca<br>
www.lcsi.ca</span></font><font color=3Dblack><span =
style=3D'color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>
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