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vehicle rigs?

vehicle rigs?

2004-05-26       - By Dale Newton

 Back
Reply:     1     2     3  

Has anyone any idea how to constrain an object in a deformed space (ie.
Object with surface deform) to another object in straight xyz space? (so to
move in local U and V on surface in relation to another objects X and Z)

Thanks for your time!

Dale

-- --Original Message-- --
From: owner-xsi@(protected) [mailto:owner-xsi@(protected)]On Behalf Of
Dale Newton
Sent: 25 May 2004 16:14
To: XSI@(protected)
Subject: vehicle rigs?

A further question on the subject of the wheel turning expression:

I have been experimenting with a vehicle rig which responds realistically to
the terrain it's on (a surface with points pulled) and to it's motion
(percentage along a path surface deformed to the above surface). The spring
operator gives me great results with a rig with four wheel suspension for
bumps, stops etc. So happiness there.

My headache starts when I want to either turn a corner, or make the terrain
too bumpy. The wheels go out of alignment (as of course, the lengths of the
paths change). And here I stop - can't figure how to correct this.

I know I'm probably down the wrong path altogether :-), and there is one
that requires a little more scripting. Anyone got any ideas?

Dale



-- --Original Message-- --
From: owner-xsi@(protected) [mailto:owner-xsi@(protected)]On Behalf Of
alex dinnin
Sent: 25 May 2004 14:52
To: XSI@(protected)
Subject: RE: expressions question

Thanks everyone for your help !!!

Got it working a treat now !!!

Alex

Graham D Clark <mail@(protected)> wrote:
use getBBox to get the geometries min max values as diameter then use that
value as diameter in the line where you apply your expression,
or if you need the radius to animate over time (and the object has been
frozen or has no radius parmeter) then afaik you'll need to make a scop for
it.
it gets a little trickier if you want to 'steer' your wheel too  and have it
roate correclty in any direction but animating the wheels on paths and using
path percentage value to rotate can make that math a lot easier
-- ---- ---- ---- ---- ---- --
http://www.grahamdclark.com <http://www.grahamdclark.com/>
2nd hand TD
-- --Original Message-- --
From: owner-xsi@(protected) [mailto:owner-xsi@(protected)] On Behalf Of
alex dinnin
Sent: May 25, 2004 12:40 PM
To: XSI@(protected)
Subject: Re: expressions question
Am I correct in saying then, that if you have frozen the object !!! you can
not use the radius ???

thanks for the help on this everyone....

Peter Twardo <peliosis_v2@(protected)> wrote:
Well, since the amount of rotation, depends on both : translation, and
radius of an object, your expression could't work.
I hope this helps:
(Try changing radius of your cylinder or whatever if you havent frozen it)

' ******************************************
CreatePrim "Cylinder", "MeshSurface"
Rotate , 90, 0, 0, siAbsolute, siParent, siObj, siX
ResetTransform "cylinder", siCtr, siRot, siXYZ
InspectObj "cylinder.kine.local"
AddExpr "cylinder.kine.local.rotz"
SetExpr "cylinder.kine.local.rotz",
"cylinder.kine.local.posx*-(360/(2*PI*cylinder.polymsh.geom.cylinder.radius)
)"
' ******************************

Peter
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<p class=MsoNormal><span class=EmailStyle21><font size=2 color="#993366"
face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:
Arial'>Has anyone any idea how to constrain an object in a deformed space (ie.
Object
with surface deform) to another object in straight xyz space? (so to move in
local
U and V on surface in relation to another objects X and Z) <o:p></o:p></span><
/font></span></p>

<p class=MsoNormal><span class=EmailStyle21><font size=2 color="#993366"
face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:
Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></font><
/span></p>

<p class=MsoNormal><span class=EmailStyle21><font size=2 color="#993366"
face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:
Arial'>Thanks for your time!<o:p></o:p></span></font></span></p>

<p class=MsoNormal><span class=EmailStyle21><font size=2 color="#993366"
face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:
Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></font><
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face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:
Arial'>Dale<o:p></o:p></span></font></span></p>

<p class=MsoNormal><span class=EmailStyle21><font size=2 color="#993366"
face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:
Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></font><
/span></p>

<p class=MsoNormal style='margin-left:36.0pt'><font size=2 color=black
face=Tahoma><span style='font-size:10.0pt;font-family:Tahoma;color:black'>----
-Original
Message-- --<br>
<b><span style='font-weight:bold'>From:</span></b> owner-xsi@(protected)
[mailto:owner-xsi@(protected)]<b><span style='font-weight:bold'>On Behalf Of
</span></b>Dale
Newton<br>
<b><span style='font-weight:bold'>Sent:</span></b> 25 May 2004 16:14<br>
<b><span style='font-weight:bold'>To:</span></b> XSI@(protected)<br>
<b><span style='font-weight:bold'>Subject:</span></b> vehicle rigs?</span><
/font></p>

<p class=MsoNormal style='margin-left:36.0pt'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'><![if !supportEmptyParas]
>&nbsp;<![endif]><o:p></o:p></span></font></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'>A further question on the subject of the wheel
turning expression:<o:p></o:p></span></font></span></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p>
</span></font></span></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'>I have been experimenting with a vehicle rig which
responds realistically to the terrain it&#8217;s on (a surface with points
pulled)
and to it&#8217;s motion (percentage along a path surface deformed to the above
surface). The spring operator gives me great results with a rig with four wheel
suspension for bumps, stops etc. So happiness there.<o:p></o:p></span></font><
/span></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p>
</span></font></span></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'>My headache starts when I want to either turn a
corner, or make the terrain too bumpy. The wheels go out of alignment (as of
course, the lengths of the paths change). And here I stop &#8211; can&#8217;t
figure how to
correct this.<o:p></o:p></span></font></span></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p>
</span></font></span></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'>I know I&#8217;m probably down the wrong path
altogether </span></font></span><span
class=EmailStyle19><font size=2 color=navy face=Wingdings><span
style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Wingdings;
mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;mso-char-type:symbol;
mso-symbol-font-family:Wingdings'><span style='mso-char-type:symbol;mso-symbol
-font-family:
Wingdings'>J</span></span></font></span><span class=EmailStyle19><font size=2
color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt;
font-family:Arial'>, and there is one that requires a little more scripting.
Anyone got any ideas?<o:p></o:p></span></font></span></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p>
</span></font></span></p>

<p class=MsoNormal style='margin-left:36.0pt'><span class=EmailStyle19><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'>Dale<o:p></o:p></span></font></span></p>

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size=2 color=navy face=Arial><span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt;font-family:Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p>
</span></font></span></p>

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<font
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12.0pt;font-family:Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p>
</span></font></sub></span></p>

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12.0pt;font-family:Arial'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p>
</span></font></span></p>

<p class=MsoNormal style='margin-left:72.0pt'><font size=2 color=black
face=Tahoma><span style='font-size:10.0pt;font-family:Tahoma;color:black'>----
-Original
Message-- --<br>
<b><span style='font-weight:bold'>From:</span></b> owner-xsi@(protected)
[mailto:owner-xsi@(protected)]<b><span style='font-weight:bold'>On Behalf Of
</span></b>alex
dinnin<br>
<b><span style='font-weight:bold'>Sent:</span></b> 25 May 2004 14:52<br>
<b><span style='font-weight:bold'>To:</span></b> XSI@(protected)<br>
<b><span style='font-weight:bold'>Subject:</span></b> RE: expressions question<
/span></font><font
color=black><span style='color:black;mso-color-alt:windowtext'><o:p></o:p><
/span></font></p>

<p class=MsoNormal style='margin-left:72.0pt'><font size=3 color=black
face="Times New Roman"><span style='font-size:12.0pt;color:black'><![if
!supportEmptyParas]>&nbsp;<![endif]></span></font><font
color=black><span style='color:black;mso-color-alt:windowtext'><o:p></o:p><
/span></font></p>

<p class=MsoNormal style='margin-left:72.0pt'><font size=3 color=black
face="Times New Roman"><span style='font-size:12.0pt;color:black'>Thanks
everyone for your help !!! </span></font><font color=black><span
style='color:black;mso-color-alt:windowtext'><o:p></o:p></span></font></p>

<p class=MsoNormal style='margin-left:72.0pt'><font size=3 color=black
face="Times New Roman"><span style='font-size:12.0pt;color:black'>&nbsp;</span>
</font><font
color=black><span style='color:black;mso-color-alt:windowtext'><o:p></o:p><
/span></font></p>

<p class=MsoNormal style='margin-left:72.0pt'><font size=3 color=black
face="Times New Roman"><span style='font-size:12.0pt;color:black'>Got it
working a treat now !!!</span></font><font color=black><span style='color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>

<p class=MsoNormal style='margin-left:72.0pt'><font size=3 color=black
face="Times New Roman"><span style='font-size:12.0pt;color:black'>&nbsp;</span>
</font><font
color=black><span style='color:black;mso-color-alt:windowtext'><o:p></o:p><
/span></font></p>

<p class=MsoNormal style='margin-left:72.0pt'><font size=3 color=black
face="Times New Roman"><span style='font-size:12.0pt;color:black'>Alex<br>
<br>
<b><i><span style='font-weight:bold;font-style:italic'>Graham D Clark
&lt;mail@(protected)&gt;</span></i></b> wrote:</span></font><font
color=black><span style='color:black;mso-color-alt:windowtext'><o:p></o:p><
/span></font></p>

<div style='border:none;border-left:solid #1010FF 1.5pt;padding:0cm 0cm 0cm 4
.0pt'>

<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
mso-margin-bottom-alt:auto;margin-left:75.75pt;border:none;mso-border-left-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=blue face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:blue'>use getBBox to get the geometries&nbsp;min max values as diameter
then use that value as diameter&nbsp;in the line where you apply your
expression,</span></font><font color=black><span style='color:black;mso-color
-alt:
windowtext'><o:p></o:p></span></font></p>

<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
mso-margin-bottom-alt:auto;margin-left:75.75pt;border:none;mso-border-left-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=blue face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:blue'>or if you need the radius to&nbsp;animate over time (and the object
has been frozen or has no radius parmeter) then afaik you'll need to make a
scop for it.</span></font><font color=black><span style='color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>

<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
mso-margin-bottom-alt:auto;margin-left:75.75pt;border:none;mso-border-left-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=blue face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:blue'>it gets a little trickier if you want to 'steer' your wheel
too&nbsp; and have it roate correclty in any direction but animating the wheels
on paths&nbsp;and using path percentage value to rotate can make that math a
lot easier</span></font><font color=black><span style='color:black;mso-color
-alt:
windowtext'><o:p></o:p></span></font></p>

<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
mso-margin-bottom-alt:auto;margin-left:75.75pt;border:none;mso-border-left-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=3 color=black face="Times New Roman"><span style='font-size:12.0pt;
color:black'>-- ---- ---- ---- ---- ---- -- <br>
<a href="http://www.grahamdclark.com/">http://www.grahamdclark.com</a> <br>
2nd hand TD </span></font><font color=black><span style='color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>

</div>

<div style='border:none;border-left:solid blue 1.5pt;padding:0cm 0cm 0cm 4.0pt'>

<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
margin-bottom:12.0pt;margin-left:79.5pt;border:none;mso-border-left-alt:solid
blue 1.5pt;
padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font size=2 color=black
face=Tahoma><span lang=EN-US style='font-size:10.0pt;font-family:Tahoma;
color:black;mso-ansi-language:EN-US'>-- --Original Message-- --<br>
<b><span style='font-weight:bold'>From:</span></b> owner-xsi@(protected)
[mailto:owner-xsi@(protected)] <b><span style='font-weight:bold'>On Behalf Of
</span></b>alex dinnin<br>
<b><span style='font-weight:bold'>Sent:</span></b> May 25, 2004 12:40 PM<br>
<b><span style='font-weight:bold'>To:</span></b> XSI@(protected)<br>
<b><span style='font-weight:bold'>Subject:</span></b> Re: expressions question<
/span></font><font
color=black><span lang=EN-US style='color:black;mso-color-alt:windowtext;
mso-ansi-language:EN-US'><o:p></o:p></span></font></p>

<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
mso-margin-bottom-alt:auto;margin-left:79.5pt;border:none;mso-border-left-alt:
solid blue 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font size=3
color=black face="Times New Roman"><span style='font-size:12.0pt;color:black'>Am
I correct in saying then, that if you have frozen the object !!! you can not
use the radius ???</span></font><font color=black><span style='color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>

<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
mso-margin-bottom-alt:auto;margin-left:79.5pt;border:none;mso-border-left-alt:
solid blue 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font size=3
color=black face="Times New Roman"><span style='font-size:12.0pt;color:black'>
&nbsp;</span></font><font
color=black><span style='color:black;mso-color-alt:windowtext'><o:p></o:p><
/span></font></p>

<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
mso-margin-bottom-alt:auto;margin-left:79.5pt;border:none;mso-border-left-alt:
solid blue 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font size=3
color=black face="Times New Roman"><span style='font-size:12.0pt;color:black'
>thanks
for the help on this everyone....<br>
<br>
<b><i><span style='font-weight:bold;font-style:italic'>Peter Twardo
&lt;peliosis_v2@(protected)&gt;</span></i></b> wrote:</span></font><font color=black>
<span
style='color:black;mso-color-alt:windowtext'><o:p></o:p></span></font></p>

</div>

<div style='border:none;border-left:solid #1010FF 1.5pt;padding:0cm 0cm 0cm 4
.0pt'>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:black'>Well, since the amount of rotation, depends on both : translation,
and radius of an object, your expression could't work.</span></font><font
size=2 color=black><span style='font-size:10.0pt;color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:black'>I hope this helps:</span></font><font size=2 color=black><span
style='font-size:10.0pt;color:black;mso-color-alt:windowtext'><o:p></o:p></span
></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:black'>(Try changing radius of your cylinder or whatever if you havent
frozen it)</span></font><font size=2 color=black><span style='font-size:10.0pt;
color:black;mso-color-alt:windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>&nbsp;</span></font><font size=2 color=black><span
style='font-size:10.0pt;color:black;mso-color-alt:windowtext'><o:p></o:p></span
></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:black'>' ******************************************</span></font><font
size=2 color=black><span style='font-size:10.0pt;color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>CreatePrim &quot;Cylinder&quot;, &quot;MeshSurface&quot;</span><
/font><font
size=2 color=black><span style='font-size:10.0pt;color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>Rotate , 90, 0, 0, siAbsolute, siParent, siObj, siX</span></font>
<font
size=2 color=black><span style='font-size:10.0pt;color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>ResetTransform &quot;cylinder&quot;, siCtr, siRot, siXYZ</span><
/font><font
size=2 color=black><span style='font-size:10.0pt;color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>InspectObj &quot;cylinder.kine.local&quot;</span></font><font
size=2 color=black><span style='font-size:10.0pt;color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>AddExpr &quot;cylinder.kine.local.rotz&quot;</span></font><font
size=2 color=black><span style='font-size:10.0pt;color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>SetExpr &quot;cylinder.kine.local.rotz&quot;, &quot;<strong><b
>cylinder.kine.local.posx*-(360/(2*PI*cylinder.polymsh.geom.cylinder.radius))</b
></strong>&quot;</span></font><font
size=2 color=black><span style='font-size:10.0pt;color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>' ******************************</span></font><font size=2
color=black><span style='font-size:10.0pt;color:black;mso-color-alt:windowtext'
><o:p></o:p></span></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>&nbsp;</span></font><font size=2 color=black><span
style='font-size:10.0pt;color:black;mso-color-alt:windowtext'><o:p></o:p></span
></font></p>

<p style='margin-right:72.0pt;margin-left:83.25pt;border:none;mso-border-left
-alt:
solid #1010FF 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font
size=2 color=black face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:black'>Peter</span></font><font size=2 color=black><span
style='font-size:10.0pt;color:black;mso-color-alt:windowtext'><o:p></o:p></span
></font></p>

</div>


<div style='border:none;border-left:solid blue 1.5pt;padding:0cm 0cm 0cm 4.0pt'>

<div class=MsoNormal align=center style='margin-right:36.0pt;mso-margin-top-alt:
5.0pt;mso-margin-bottom-alt:auto;margin-left:79.5pt;text-align:center;
border:none;mso-border-left-alt:solid blue 1.5pt;padding:0cm;mso-padding-alt:
0cm 0cm 0cm 4.0pt'><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt;color:black'>

<hr size=1 width="100%" align=center>

</span></font></div>


<p class=MsoNormal style='margin-right:36.0pt;mso-margin-top-alt:auto;
mso-margin-bottom-alt:auto;margin-left:79.5pt;border:none;mso-border-left-alt:
solid blue 1.5pt;padding:0cm;mso-padding-alt:0cm 0cm 0cm 4.0pt'><font size=2
color=black face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:black'>Do you Yahoo!?<br>
Friends. Fun. <a href="http://messenger.yahoo.com/">Try the all-new Yahoo!
Messenger</a></span></font><font color=black><span style='color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>

</div>


<div class=MsoNormal align=center style='margin-left:72.0pt;text-align:center'>
<font
size=3 color=black face="Times New Roman"><span style='font-size:12.0pt;
color:black'>

<hr size=1 width="100%" align=center>

</span></font></div>


<p class=MsoNormal style='margin-left:72.0pt'><font size=2 color=black
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:black'>Do you
Yahoo!?<br>
Friends. Fun. <a href="http://messenger.yahoo.com/">Try the all-new Yahoo!
Messenger</a></span></font><font color=black><span style='color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>

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