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Spirit, sol 583
File:Sol081 p2.jpg
Opportunity, sol 81
File:Sol081 m2.gif
Opportunity, sol 74-81
I've made many pictures using NASA raw images. And I'm not sure what license should be applied to them. I changed colors, size and mosaic pictures sometime are not perfect. --TxAlien 01:41, 10 September 2006 (UTC)Reply

Images

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Hi TxAlien. I love your images, but I'm still wondering how they were made. Specifically, what software package did you use to make them? I've always wanted something that could make such nice-looking pictures based on formulas. MOBle 00:04, 10 September 2006 (UTC)Reply

Thank you. I'm using Scientific Notebook for my job, computer algebra, writing articles and so on. It is very nice software. Recently I've got MuPAD. It has more powerful graphics tool and computer algebra, but it is not so simple as Scientific Notebook. A few month ago I've made several pictures in 4d-space just for myself. Some of them were very pretty. So, I decided to put these pictures in Wikipedia. I hope that they will be useful for somebody. I'll be glad to answer any questions about this software. You can download it for one month free trial from
http://www.sciface.com and http://www.mackichan.com/
I can send source code to any image I've made. Or, if it is not too complicated, I can help to make image based on your formulas or (not too big) differential equations.--TxAlien 03:22, 10 September 2006 (UTC)Reply
Thanks. I'd love to see how you did the simple light cone, for example. Do you know if Scientific Workplace can do the same things? I get that for free from school -- not Scientific Notebook, though. MOBle 23:32, 10 September 2006 (UTC)Reply
I meant Lcprojection01.jpg. I much prefer a package that doesn't bother with primitives, but just does a nice job with formulas. Thanks. MOBle 21:35, 11 September 2006 (UTC)Reply
 
Explanatory image to the source code
This is MuPAD source code. It is very simple. There are only five different objects.
You can not be able to draw in Scientific Notebook only the arrows X,Y and Z.
All other objects you can easy to make using the latest version of Scientific notebook. It is not too big source code and some of the objects almost the same, they have just a different parameters.
I did not write the source code in notebook because I have only old version of it. And it looks ugly in old graphics. Also, if you do not need my previous answer then I will remove it. --TxAlien 01:39, 12 September 2006 (UTC)Reply
Thanks. That source code is what I'm interested in. MOBle 18:50, 12 September 2006 (UTC)Reply
You are welcome. If you will have any problem with the source code - let me know.--TxAlien 19:07, 12 September 2006 (UTC)Reply
t1 := 0:   // first time for animation
t2 := 4:   // last  time for animation
vm := 1:   // four-velocity of the sphere. 3d velocity is c*vm/sqrt(1+vm^2) = c/sqrt(2)~0.7c
r  := 0.5: //radius of the sphere
xx := r*cos(a)+1: // parametrization of the sphere projection on plane xy 
yy := r*sin(a):   // parametrization of the sphere projection on plane xy
v0 := (v)   -> sqrt(1 + v^2):   // time velocity component
Xl := (v,t) -> v0(v)*xx - v*t:  // Lorentz transfomed coordinates ( )
Tl := (v,t) -> v0(v)*t - v*xx:  // Lorentz transfomed coordinates
xl := (v,t) -> (xx - v*t)/v0(v):// crossing world surface and xy plane
xr := (v,t) -> (xx - t*v)*v0(v)+v*sqrt((xx - t*v)^2 + yy^2):      // projection on xy plane
                                                //  of crossing world surface and light cone. 
                                                // It is visible image of the sphere
tr := (v,t) -> (1+v^2)*t - xx*v - v0(v)*sqrt((xx - t*v)^2 + yy^2):// crossing
                                                // world surface and cone surface
WorldSurf1 := plot::Surface([xl(vm,t),yy,t],
             a  =  0 .. 2*PI,
             t  = -5 .. 0,
             FillColor = RGB::Grey, //.[0.2],
             FillColor2 = RGB::Grey,//.[0.2],
             UMesh = 12,VMesh = 2,USubmesh = 2,VLinesVisible = FALSE):
WorldSurf2 := plot::Surface([xl(vm,t),yy,t],
             a  =  0 .. 2*PI,
             t  =  0.5 .. 4,
             FillColor = RGB::Grey, //.[0.2],
             FillColor2 = RGB::Grey,//.[0.2],
             UMesh = 12,VMesh = 2,USubmesh = 2,VLinesVisible = FALSE):
WorldSurf3 := plot::Surface([xl(vm,t),yy,t],
             a  =  0 .. 2*PI,
             t  =  0.0 .. 0.5,
             FillColor = RGB::Grey.[0.2], // [0.2] is transparency
             FillColor2 = RGB::Grey.[0.2],
             UMesh = 12,VMesh = 3,USubmesh = 2,VLinesVisible = FALSE):
LSphere := plot::Curve3d([xl(vm,0)*1.01,yy*1.01,0],
             a  =  0 .. 2*PI,
             LineColor = RGB::Black):
VSphere := plot::Curve3d([xr(vm,0),yy,0],
             a  =  0 .. 2*PI,
             LineColor = RGB::Red):
VCSphere := plot::Curve3d([xr(vm,0),yy,tr(vm,0)],
             a  =  0 .. 2*PI,
             LineColor = RGB::Red):
PrToConeSurf := plot::Surface([xr(vm,0),yy,tr(vm,0)*p],
             a  =  0 .. 2*PI,
             p  =  0 .. 1,
             FillColor = [1.0,0.4,0.4,0.3],
             FillColor2= [1.0,0.9,0.9,0.3],
             VLinesVisible = FALSE,
             UMesh = 25,VMesh = 2,USubmesh = 2):
QAx := plot::Arrow3d([-4.0,0.0,0.0],[4.5,0.0,0.0],Color=RGB::Black,
                   TitlePosition = [4.6,0.0,0.0],Title = "X",TitleFont = [10,Bold]):
QAy := plot::Arrow3d([0.0,-4.0,0.0],[0.0,4.5,0.0],Color=RGB::Black,
                   TitlePosition = [0.0,4.5,0.0],Title = "Y",TitleFont = [10,Bold]):
QAt := plot::Arrow3d([0.0,0.0,-4.0],[0.0,0.0,4.5],Color=RGB::Black,
                   TitlePosition = [0.0,0.0,4.5],Title = "T",TitleFont = [10,Bold]):
Cone1 := plot::Surface([t*cos(a),t*sin(a),t],
             a  =  0 .. 2*PI,
             t  = -4 .. 0,//tr = 0.2 ..1,
             FillColor  = [0.4,0.4,0.4,0.95],
             FillColor2 = [1,0.25,0.25,0.95],
             LineColor  = RGB::Black.[0.15],
             FillColorDirection = [1,1,1],
             VLinesVisible = FALSE,
             UMesh = 25,VMesh = 2, Submesh = [2,1]):
Cone2 := plot::Surface([t*cos(a),t*sin(a),t],
             a  =  0 .. 2*PI,
             t  =  0 .. 4,
             FillColor  = RGB::Black.[0.4],
             FillColor2 = RGB::SkyBlue.[0.4],
             LineColor  = RGB::Black.[0.15],
             VLinesVisible = FALSE,
             UMesh = 25,VMesh = 2, Submesh = [2,1]):
XYplane := plot::Surface([x,y,0],
             x  = -4 .. 4,
             y  = -4 .. 4,
             FillColor  = RGB::Green.[0.2],
             FillColor2 = RGB::Green.[0.2],
             UMesh = 25,VMesh = 25):
plot(Cone1,XYplane,Cone2,WorldSurf1,                // sometimes order 
     WorldSurf2,WorldSurf3,LSphere,VSphere,VCSphere,// in this list is important                  
     PrToConeSurf,QAx,QAy,QAt,                      // for transparent objects
             Scaling  = Constrained,
             Axes = None,
             Width = 120, Height  = 150):

Re: NASA Images

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These images should be tagged with {{PD-USGov-NASA}}. Photographs and other NASA images should include the NASA image number if you have it, for easy reference. --Hetar 22:19, 16 September 2006 (UTC)Reply

Thank you. --TxAlien 00:35, 17 September 2006 (UTC)Reply

You should also take credit for any modifications you did. HighInBC 19:20, 20 September 2006 (UTC)Reply

Tachyon animation = awesome

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So are the others, of course, but I'd seen them before. This is easily the best visual description I've seen of this effect. --Grey Knight 20:55, 17 November 2006 (UTC)Reply

Parashute?

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Hi. You spelled parachute wrong in this crop of a HiRISE photo [1]. Just bringing it to your attention. It's a very good idea to put those hires beauties on Opportunity's page! --Planetary 03:35, 5 December 2006 (UTC)Reply

4d sphere?

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How can there be a hole in your 4D sphere? Shouldn't it resemble a 3D sphere in that it's entirely convex? Or is its concavity just a consequence of being projected as a 3D projection? --frotht 21:55, 12 August 2007 (UTC)Reply

File source problem with File:Sol081 m2.gif

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Notification of automated file description generation

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File source problem with File:Sol081 p2.jpg

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Beautiful work

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Had I known of File:ConstantAcceleration02.jpg, I might not have drawn my own illustration of this topic in Spacetime#Accelerated observer with horizon. My current illustration is too tightly integrated with the text to think of switching over to yours, but I have added a link to your image from the caption of mine!   Stigmatella aurantiaca (talk) 23:26, 8 June 2017 (UTC)Reply

Incidentally, any helpful criticism of the Spacetime article would be appreciated. The version of 14:26, 15 March 2017 was possibly one of the worst science articles in all of Wikipedia, and User:Greg L and I have been working on this together. Greg is 90% responsible for the current lede, while I am 98% responsible for the Introduction, Basic mathematics of spacetime, Beyond the basics, Introduction to curved spacetime (in progress), and Introduction section summaries. Trouble is, I've been too close to my work, and I could use an extra set of eyeballs. Thanks in advance, whether or not you can spare the time! Stigmatella aurantiaca (talk) 23:38, 8 June 2017 (UTC)Reply