(Newton's equations)No collision of course, it's a simple demo. You can press "2" for changing the scene. I will be updating it in some days
and I will also post the code. Bye bye!"Physics" tech demo :P
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"Physics" tech demo :P
This is what can be done using differential equations (Newton's equations)
No collision of course, it's a simple demo. You can press "2" for changing the scene. I will be updating it in some days and I will also post the code. Bye bye!
(Newton's equations)No collision of course, it's a simple demo. You can press "2" for changing the scene. I will be updating it in some days
and I will also post the code. Bye bye!- Attachments
-
- running ball.zip
- (30.96 KiB) Downloaded 707 times
Last edited by kattle87 on Fri Jun 20, 2008 7:22 pm, edited 1 time in total.
Hi Francesco,
Going with math-based collision behaviors is actually allot faster in most cases then working with polygons. And as long as your accompanying procedurally generated meshes have sufficient detail ( and thus not differing much from the collision "model" ), you'll end up with a superior / more "accurate" end-result to boot.
*I had to disable my AV in order to download the file .. kkrunchy best?
K
Going with math-based collision behaviors is actually allot faster in most cases then working with polygons. And as long as your accompanying procedurally generated meshes have sufficient detail ( and thus not differing much from the collision "model" ), you'll end up with a superior / more "accurate" end-result to boot.
*I had to disable my AV in order to download the file .. kkrunchy best?
K
Actually I'm not doing any kind of collision: the ball is simply following the trajectory of a ball placed on a ground similar to one described by some equations (EG: paraboloid: Z = X^2 + Y^2)
If you can create a ground using those equations, then you can use them and their derivatives to "make the ball follow the right trajectory" in a very simple way: the ball must agree to Newton equation "F = mass * acceleration". This is actually incomplete because I'm using the ball like if it was a single massive point (so I don't care about some forces which should be present), but this is to give you the idea of what can be done: gravitational systems, balls rolling on a mathematical cliff, and so on, should be possible to recreate
(even if they will probably be unstable because numerical solution isn't that accurate)
BTW: yes, kkrunchy best
If you can create a ground using those equations, then you can use them and their derivatives to "make the ball follow the right trajectory" in a very simple way: the ball must agree to Newton equation "F = mass * acceleration". This is actually incomplete because I'm using the ball like if it was a single massive point (so I don't care about some forces which should be present), but this is to give you the idea of what can be done: gravitational systems, balls rolling on a mathematical cliff, and so on, should be possible to recreate
(even if they will probably be unstable because numerical solution isn't that accurate)BTW: yes, kkrunchy best
Hi Francesco,
Well, personally I'd categorize what you're doing under collisions. In fact, your approach ain't all that different from calculating collision data for NURBS / Surfaces. By the way, in case you're aiming to implement a full physics system, take a look at Newton
K
Well, personally I'd categorize what you're doing under collisions. In fact, your approach ain't all that different from calculating collision data for NURBS / Surfaces. By the way, in case you're aiming to implement a full physics system, take a look at Newton
K
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jph_wacheski
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wow again !
nice stuff,. yes abstraction is the root of all video games. All video games are psychological tricks No object in a game actualy existed, never mind collided with another imaginary object,. . much like what we call 'reality' but that is a whole other can of worms,. . fo' sure.
I was considering doing somthing like this just to get objects to move with the hight of a mesh,. (use the same math for the mesh and the z of the obj),. how you get them rolling about it beyond me,. well im sure I could suss it out, if I thought danm hard for a spell,.. but I just like to build stuff, gameplay and interesting art, mostly. My mind looses focus when the math gets all complex and abstract,. perhaps we should team up, I have a bunch of half started things what got left for lack of math to implement some gameplay or control issue.., I sure wish I had some cash to hire someone like you, to help me with the maths,. perhaps if your willing to help for free for a bit,. we can find some ways to generate an income from these games.., I know there is gold in those thar' hills! willin' to dig?
nice stuff,. yes abstraction is the root of all video games. All video games are psychological tricks
No object in a game actualy existed, never mind collided with another imaginary object,. . much like what we call 'reality' but that is a whole other can of worms,. . fo' sure. I was considering doing somthing like this just to get objects to move with the hight of a mesh,. (use the same math for the mesh and the z of the obj),. how you get them rolling about it beyond me,. well im sure I could suss it out, if I thought danm hard for a spell,.. but I just like to build stuff, gameplay and interesting art, mostly. My mind looses focus when the math gets all complex and abstract,. perhaps we should team up, I have a bunch of half started things what got left for lack of math to implement some gameplay or control issue.., I sure wish I had some cash to hire someone like you, to help me with the maths,. perhaps if your willing to help for free for a bit,. we can find some ways to generate an income from these games.., I know there is gold in those thar' hills! willin' to dig?
iterationGAMES.com
I have no problem helping for free. You just need to wait untill I have my exams finished. Whene you're a student you don't care about cash, you care about glory So no problems in helping.
BTW: for what regarding the torus (and also other parametrics) beeing with inverted normals... well it's my fault but you can easy fix it by placing a "(-1)*" multiplicator in the expression regarding the Z vertex.
EG: for torus:
this.V.Z = 0.5*sin(VarV);
must become
this.V.Z = -0.5*sin(VarV);
this is the book I took formulas from for parametrics
http://books.google.it/books?hl=it&id=_ ... &ct=result
(google books preview, almost not usefull at all)
bye bye!
So no problems in helping.BTW: for what regarding the torus (and also other parametrics) beeing with inverted normals... well it's my fault
but you can easy fix it by placing a "(-1)*" multiplicator in the expression regarding the Z vertex.EG: for torus:
this.V.Z = 0.5*sin(VarV);
must become
this.V.Z = -0.5*sin(VarV);
this is the book I took formulas from for parametrics
http://books.google.it/books?hl=it&id=_ ... &ct=result
(google books preview, almost not usefull at all
)bye bye!