Bug associated with Graphics3D???
Louis Talman
last line of the code below) isn't red---like the others?
-------------------------
Rho[Psi_] = 2/(1 - Cos[Psi]);
Para = ParametricPlot3D[
Rho[Psi] {Cos[Psi], Sin[Psi] Cos[Theta], Sin[Psi] Sin[Theta]},
{Psi, Pi/3, Pi}, {Theta, 0, 2 Pi},
PlotStyle -> {Specularity[0.9], Opacity[0.3]}, Mesh -> None,
Axes -> None, PlotRange -> {{-1.3, 6.7}, {-3.5, 3.5}, {-3.5,
3.5}}];
Focus = Graphics3D[{PointSize[0.015], Point[{0, 0, 0}]}];
Bloid = Show[Para, Focus];
Pla[x_] := ParametricPlot3D[
x Sec[Psi] { Cos[Psi], Sin[Psi] Cos[Theta], Sin[Psi] Sin[Theta]},
{Theta, 0, 2 Pi}, {Psi, 0, ArcTan[(2 Sqrt[3])/x]}, Mesh -> None,
Axes -> None, PlotStyle -> {Red, Opacity[0.6]}];
Do[Print[Show[Bloid, Pla[x]]], {x, 4.8, 5.4, 0.1}];
---------------------------
It also happens when x = 3.5, but for no other values of x generated
by {x, 3.0, 6.5, 0.1}.
--Lou Talman
Department of Mathematical and Computer Sciences
Metropolitan State College of Denver
Syd Geraghty
That was a very interesting artifact of Show[].
The key is to be found in the Possible Issues documentation for Show[].
Show uses the options from the first graphic:
So you first have to reverse the order of the shown functions!!!!
Show[Pla[x], Bloid], x] ...... that fixes the 5.1 issue !!
Do[Print[Show[Pla[x], Bloid], x], {x, 5.05, 5.15, 0.025}]; works fine!
Cheers .... Syd
Syd Geraghty B.Sc, M.Sc.
Mathematica 7.0.1.0 for Mac OS X x86 (64 - bit) (12th September 2009)
MacOS X V 10.6.1 Snow Leopard
MacBook Pro 2.33 GHz Intel Core 2 Duo 2GB RAM
Louis Talman
introduces something else I don't want, which is a box of varying
size. And if I transfer the PlotRange option to Pla[x] to control box
size, the 5.1 issue reappears!
I forgot to mention a couple of things. The issue pertains only to
v7; the code works as it should in v6---at least on a PPC Mac. And
I've verified the problem in v7 on both a PPC Mac running OS X 10.5.8
and on a Windoze box running Vista Home Premium. And tweaking
ViewPoint doesn't help. (Haven't tried a major change---but the
problem seems so sensitive to position that a little tweak in
ViewPoint should've done something if lighting angles are the issue.)
<http://clem.mscd.edu/%7Etalmanl>
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<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; =
-webkit-line-break: after-white-space; ">Well, sort of. Reversing =
the order of the Graphics3D objects introduces something else I don't =
want, which is a box of varying size. And if I transfer the =
PlotRange option to Pla[x] to control box size, the 5.1 issue reappears! =
<div><br></div><div>I forgot to mention a couple of things. =
The issue pertains only to v7; the code works as it should in =
v6---at least on a PPC Mac. And I've verified the problem in v7 on =
both a PPC Mac running OS X 10.5.8 and on a Windoze box running Vista =
Home Premium. And tweaking ViewPoint doesn't help. (Haven't =
tried a major change---but the problem seems so sensitive to position =
that a little tweak in ViewPoint should've done something if lighting =
angles are the issue.)<br><div><br></div><div><br><div><div>On Nov 24, =
2009, at 7:19 PM, Syd Geraghty wrote:</div><br =
class="Apple-interchange-newline"><blockquote type="cite"><div =
style="word-wrap: break-word; -webkit-nbsp-mode: space; =
-webkit-line-break: after-white-space; ">Wow =
Lou,<div><br></div><div>That was a very interesting artifact of =
Show[].</div><div><br></div><div>The key is to be found in <font =
class="Apple-style-span" size="3"><span class="Apple-style-span" =
style="font-size: 12px;">the Possible Issues documentation for =
Show[].</span></font></div><div><font class="Apple-style-span" =
size="3"><span class="Apple-style-span" style="font-size: =
12px;"><br></span></font></div><div><font class="Apple-style-span" =
size="3"><span class="Apple-style-span" style="font-size: =
12px;"><div style="margin-top: 0px; margin-right: 0px; margin-bottom: =
0px; margin-left: 0px; font: normal normal normal 10px/normal Verdana; =
font-size: 12px; ">Show uses the options from the first =
graphic:</div><div style="margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; font: normal normal normal =
10px/normal Verdana; "><br></div><div style="margin-top: 0px; =
margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal =
normal normal 10px/normal Verdana; "><font class="Apple-style-span" =
face="Helvetica" size="3"><span class="Apple-style-span" =
style="font-size: 12px;">So you first have to reverse the order of the =
shown functions!!!!</span></font></div><div style="margin-top: 0px; =
margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal =
normal normal 10px/normal Verdana; "><font class="Apple-style-span" =
face="Helvetica" size="3"><span class="Apple-style-span" =
style="font-size: 12px;"><br></span></font></div><div =
style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; font: normal normal normal 10px/normal Verdana; =
"><font class="Apple-style-span" face="Helvetica" size="3"><span =
class="Apple-style-span" style="font-size: 12px;">Show[Pla[x], =
Bloid], x] ...... that fixes the 5.1 issue =
!!</span></font></div><div style="margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; font: normal normal normal =
10px/normal Verdana; "><font class="Apple-style-span" face="Helvetica"=
size="3"><span class="Apple-style-span" style="font-size: =
12px;"><br></span></font></div><div style="margin-top: 0px; =
margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal =
normal normal 10px/normal Verdana; "><font class="Apple-style-span" =
face="Helvetica" size="3"><span class="Apple-style-span" =
style="font-size: 12px;"><br></span></font></div><div =
style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; font: normal normal normal 10px/normal Verdana; "><div =
style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; font: normal normal normal 12px/normal Helvetica; "> =
<br> Do[Print[Show[Pla[x], Bloid], x], {x, 5.05, 5.15, 0.025}]; =
works =
fine! </div></div><div style="margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; font: normal normal normal =
10px/normal Verdana; "><br></div><div style="margin-top: 0px; =
margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal =
normal normal 10px/normal Verdana; "><br></div><div style="margin-top: =
0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: =
normal normal normal 10px/normal Verdana; =
"><br></div></span></font><div> <div style="word-wrap: break-word; =
-webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><div =
style="word-wrap: break-word; -webkit-nbsp-mode: space; =
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widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; =
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auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
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auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
after-white-space; "><span class="Apple-style-span" =
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auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
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style="border-collapse: separate; color: rgb(0, 0, 0); font-family: =
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auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
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orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; =
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-webkit-border-vertical-spacing: 0px; =
-webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: =
auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
after-white-space; "><span class="Apple-style-span" =
style="border-collapse: separate; color: rgb(0, 0, 0); font-family: =
Helvetica; font-size: 12px; font-style: normal; font-variant: normal; =
font-weight: normal; letter-spacing: normal; line-height: normal; =
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-webkit-border-vertical-spacing: 0px; =
-webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: =
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orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; =
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auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
after-white-space; "><span class="Apple-style-span" =
style="border-collapse: separate; color: rgb(0, 0, 0); font-family: =
Helvetica; font-size: 12px; font-style: normal; font-variant: normal; =
font-weight: normal; letter-spacing: normal; line-height: normal; =
orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; =
widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; =
-webkit-border-vertical-spacing: 0px; =
-webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: =
auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
after-white-space; "><span class="Apple-style-span" =
style="border-collapse: separate; color: rgb(0, 0, 0); font-family: =
Helvetica; font-size: 12px; font-style: normal; font-variant: normal; =
font-weight: normal; letter-spacing: normal; line-height: normal; =
orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; =
widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; =
-webkit-border-vertical-spacing: 0px; =
-webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: =
auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
after-white-space; "><span class="Apple-style-span" =
style="border-collapse: separate; color: rgb(0, 0, 0); font-family: =
Helvetica; font-size: 12px; font-style: normal; font-variant: normal; =
font-weight: normal; letter-spacing: normal; line-height: normal; =
orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; =
widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; =
-webkit-border-vertical-spacing: 0px; =
-webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: =
auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
after-white-space; "><span class="Apple-style-span" =
style="border-collapse: separate; color: rgb(0, 0, 0); font-family: =
Helvetica; font-size: 12px; font-style: normal; font-variant: normal; =
font-weight: normal; letter-spacing: normal; line-height: normal; =
orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; =
widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; =
-webkit-border-vertical-spacing: 0px; =
-webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: =
auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
after-white-space; "><span class="Apple-style-span" =
style="border-collapse: separate; color: rgb(0, 0, 0); font-family: =
Helvetica; font-size: 12px; font-style: normal; font-variant: normal; =
font-weight: normal; letter-spacing: normal; line-height: normal; =
orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; =
widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; =
-webkit-border-vertical-spacing: 0px; =
-webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: =
auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: =
break-word; -webkit-nbsp-mode: space; -webkit-line-break: =
after-white-space; "><div><div>Cheers .... Syd</div><div><br></div><div =
style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; font: normal normal normal 12px/normal Helvetica; =
">Syd Geraghty B.Sc, M.Sc.</div><div style="margin-top: 0px; =
margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal =
normal normal 12px/normal Helvetica; "><br =
class="webkit-block-placeholder"></div><div style="margin-top: 0px; =
margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal =
normal normal 12px/normal Helvetica; "><a =
href="mailto:sydge...@mac.com">sydge...@mac.com</a></div><div =
style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; font: normal normal normal 12px/normal Helvetica; =
"><br></div><div style="margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; font: normal normal normal =
12px/normal Helvetica; ">Mathematica 7.0.1.0 for Mac OS X x86 (64 - bit) =
(12th September 2009)<br>MacOS X V 10.6.1 Snow Leopard </div><div =
style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; font: normal normal normal 12px/normal Helvetica; =
">MacBook Pro 2.33 GHz Intel Core 2 Duo 2GB RAM</div><div><br =
class="webkit-block-placeholder"></div></div></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div></span><br =
class="Apple-interchange-newline"></div><br =
class="Apple-interchange-newline"></div><br =
class="Apple-interchange-newline"></div><br =
class="Apple-interchange-newline"><br =
class="Apple-interchange-newline"> </div> <br><div><div>On Nov 24, =
2009, at 5:50 AM, Louis Talman wrote:</div><br =
class="Apple-interchange-newline"><blockquote type="cite"><div>Can =
anyone explain why the disk that corresponds to x = 5.1 (see the =
<br>last line of the code below) isn't red---like the =
others?<br><br>-------------------------<br><br>Rho[Psi_] = 2/(1 - =
Cos[Psi]);<br><br>Para = ParametricPlot3D[<br> =
Rho[Psi] {Cos[Psi], Sin[Psi] Cos[Theta], Sin[Psi] =
Sin[Theta]},<br> {Psi, Pi/3, Pi}, {Theta, 0, 2 =
Pi},<br> PlotStyle -> {Specularity[0.9], =
Opacity[0.3]}, Mesh -> None,<br> Axes -> =
None, PlotRange -> {{-1.3, 6.7}, {-3.5, 3.5}, {-3.5, =
<br>3.5}}];<br><br>Focus = Graphics3D[{PointSize[0.015], =
Point[{0, 0, 0}]}];<br><br>Bloid = Show[Para, Focus];<br><br>Pla[x_] =
:= ParametricPlot3D[<br> x Sec[Psi] { Cos[Psi], =
Sin[Psi] Cos[Theta], Sin[Psi] Sin[Theta]},<br> {Theta, =
0, 2 Pi}, {Psi, 0, ArcTan[(2 Sqrt[3])/x]}, Mesh -> None,<br> =
Axes -> None, PlotStyle -> {Red, =
Opacity[0.6]}];<br><br>Do[Print[Show[Bloid, Pla[x]]], {x, 4.8, 5.4, =
0.1}];<br><br>---------------------------<br><br>It also happens when x =
= 3.5, but for no other values of x generated <br>by {x, 3.0, =
6.5, 0.1}.<br><br><br>--Lou Talman<br> Department of =
Mathematical and Computer Sciences<br> Metropolitan State =
College of Denver<br><br> <<a =
href="http://clem.mscd.edu/%7Etalmanl">http://clem.mscd.edu/%7Etalmanl</=
a>><br><br><br><br></div></blockquote></div><br></div></div></blockquot=
e></div><br></div><br><br><div apple-content-edited="true"> <span =
class="Apple-style-span" style="border-collapse: separate; =
border-spacing: 0px 0px; color: rgb(0, 0, 0); font-family: Helvetica; =
font-size: 12px; font-style: normal; font-variant: normal; font-weight: =
normal; letter-spacing: normal; line-height: normal; text-align: auto; =
-khtml-text-decorations-in-effect: none; text-indent: 0px; =
-apple-text-size-adjust: auto; text-transform: none; orphans: 2; =
white-space: normal; widows: 2; word-spacing: 0px; "><div =
style="word-wrap: break-word; -khtml-nbsp-mode: space; =
-khtml-line-break: after-white-space; "><span class="Apple-style-span" =
style="border-collapse: separate; border-spacing: 0px 0px; color: =
rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: =
normal; font-variant: normal; font-weight: normal; letter-spacing: =
normal; line-height: normal; text-align: auto; =
-khtml-text-decorations-in-effect: none; text-indent: 0px; =
-apple-text-size-adjust: auto; text-transform: none; orphans: 2; =
white-space: normal; widows: 2; word-spacing: 0px; "><div>--Lou =
Talman</div><div> Department of Mathematical and Computer =
Sciences</div><div> Metropolitan State College of =
Denver</div><div><br></div><div> <<a =
href="http://clem.mscd.edu/%7Etalmanl">http://clem.mscd.edu/%7Etalmanl</=
a>></div><br class="Apple-interchange-newline"></span></div></span> =
</div><br></div></body></html>=
--Apple-Mail-1--491773187--
Syd Geraghty
I guess from your results below that a bug report to WRI is in order.
Cheers .... Syd
Incidentally your analysis reminds me of a design problem I had in 1966.
The problem was to optimise the shape of the two surfaces of a high-gain cassegraine antenna given
the radial characteristics of the microwave source located about where your point is.
The antenna ended up on the UK AWAC aircraft of that era.
I programmed in Algol in those days on an Elliott Automation 803.
Boy how I would like to have had Mathematica and a Mac in 1966!
Syd Geraghty B.Sc, M.Sc.
Mathematica 7.0.1.0 for Mac OS X x86 (64 - bit) (12th September 2009)
MacOS X V 10.6.1 Snow Leopard
MacBook Pro 2.33 GHz Intel Core 2 Duo 2GB RAM