Ok...

I've told Dirk in about 3 threads I owed him some tank pictures. Instead of flooding one of his threads or my recognizer thead I thought I'd start a new one. First let me say I'm just now starting to make some of these pictures so be patient. I'm also going to be out of town the better part of next week so this may be slow going. At the rate Dirk is pumping out models I may be too slow to help much but I'll do what I can. There is just so little time and so much POV-Ray I want to do...

(1) Make these tank build up pictures.
(2) Play with my arena and light cycles with radiosity and see if I can make some nice pictures.
(3) Finish my recognizer.
(4) Finish my light cycle crash effect.
(5) Optimize my Light Cycle with Sidecar model and my Light Flyer making use of what I learned optimizing my Light Cycle.
(6) Animate my Light Cycle with Sidecar and my Light Flyer.
(7) Make the short that features my Light Flyer in action that's been playing over and over in my head for what 2 years now.

There that should keep me busy for the next decade.

Anyways... I hope to have a few pictures here today along with a little math leason. I hope that doesn't scare too many people away.

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Ok... the first real 3D model I ever made with POV-Ray was the Light Cycle. It took me a long time as I was learning POV-Ray at the same time. I didn't know how to make macros at the time I was making it but before I started on the tank I wanted to make a whole family of macros aimed at making my job easier. So before I started in on the tank I started making macros. I'd like to share a few of those here and show you how they work. If you use POV-Ray these are general enough you might be able to make use of them.

So here is the first math leason. Assume you have two spheres at these points...

Point1 = ;
Point2 = ;

Note they are both in the z=0 plane.

If these spheres have the same radii (say r = TrSmall) they can be connected smootly and simply with a cylinder.

sphere {Point1,TrSmall}
sphere {Point2,TrSmall}
cylinder {Point1,Point2,TrSmall}

Here is a gif to show you what I'm talking about...


However if the two spheres have different radii it takes a cone to connect them smoothly and its not so simple defining that cone. For example this doesn't work too well.

sphere {Point1,TrSmall}
sphere {Point2,TrBig}
cone {Point1,TrSmall, Point2,TrBig}

Check out this gif and notice even after the cone is made the same color at the spheres you can still see where they connect. It's errors like this that I believe resulted in some of the shapes people see on the side of the tank tread.


So I made a macro to find this cone. I assumed the two spheres were always in the z=0 plane. And in the general sense you can ALWAYS rotate two points so they are in this plane and then undo the rotation if the spheres aren't centered in the z=0 plane.

sphere {Point1,TrSmall}
sphere {Point2,TrBig}
object {sphere2fill(Point1,TrSmall,Point2,TrBig)}

I named this macro sphere2fill as it fills the space between 2 spheres. The above produces this gif.


And here is the code for the macro.

#macro sphere2fill(V1,R1,V2,R2)
#local V2a = V2-V1;
#local angle_z1 = VRotationD(, x, z);
#local V2b = vaxis_rotate(V2a, z, angle_z1);
#local angle_y2 = VRotationD(, x, y);
#local V2c = vaxis_rotate(V2b, y, angle_y2);
#local theta = asin((R1-R2)/V2c.x);

cone {
, R1*cos(theta) , R2*cos(theta)
rotate -y*angle_y2
rotate -z*angle_z1
translate V1
}
#end

Enjoy,
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Hey Carl - the math doesn't always make a lot of sense to me - but with your great illustrations it's a whole lot more understandable! I'm glad you're so visually descriptive along with your in-depth mathematical equations and plotting instructions!

TheReelTodd Wrote:Hey Carl - the math doesn't always make a lot of sense to me - but with your great illustrations it's a whole lot more understandable! I'm glad you're so visually descriptive along with your in-depth mathematical equations and plotting instructions!

Thanks... on most forums all I've got to do is mention the word "math" in a thread and that thread is dead. Hopefully a few pretty pictures will help keep this one alive.

Carl

Hi Carl!

I just made a fast render for a quick comparsion.


If you check the movie, you will see that the sideshote of the tanks looking more like the orange one.

Dirk

Cueball Wrote:Hi Carl! I just made a fast render for a quick comparsion. If you check the movie, you will see that the sideshote of the tanks looking more like the orange one. Dirk

The front view above I find confusing. The shapes labeled top view wouldn't look like that from the front.

Carl

Dirk, how did you create the wireframe around the render? From what I can tell, that wouldn't be too easy with POV-Ray. How did you do that?

Carl, thanks for the cone macro. Your Lightcycle work is fantastic. I can't wait to see your tank.

It's too bad we can't get the data from MAGI and Triple-I. :-)

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