jheriko

20th September 2002 09:58 UTC

Shiny new things
I've just released a minipack themed around solid geometry, I created it last night after I practically gave up on a preset i've been working on that MUST go into pack 6... anyway enough of the boring details of its creation. The new pack can be downloaded from one of two places at the moment:

http://www.deviantart.com/deviation/720677
http://www.deskmod.com/?show=showskin&skin_id=16471

I'll add it to the link at the bottom of my sig later.

Enjoy!!

Karnov

20th September 2002 12:40 UTC

i was blown away by your octahedron, it was freakin awsome
so i go to click the next button
and wouldnt you know it! im in the hospital!

(read: dodechahedron was frickin schweet)

jheriko

20th September 2002 13:58 UTC

thanks karnov, it always makes my day when someone else enjoys my avs presets.

for convenience of people here at the forums i've made a zip file (took me 3 entire clicks) containing the exe so you don't have to go all of the way to deviantart or deskmod just to get it:

Jaheckelsafar

20th September 2002 14:19 UTC

Hey man, that's pretty nice. :up:

nixa

20th September 2002 18:59 UTC

Great stuff I like Icosahedron and Dodecahedron the best.
I got this idea when I first seen Golden dodecahedron and it is making a C60 molekule like object in avs but since I failed to make it meaby you could give it a try.

jheriko

21st September 2002 01:46 UTC

the c60 eh... i think i know that polygon... isn't it a hexacontrahedron with pentagonal and hexagonal faces? or is it the triacontakaidihedron (the icosidodecahedron) with pentagonal and hexagonal faces? (I think that these two shapes are duals?)

Xion(810)

21st September 2002 02:00 UTC

Sweet...Don't know shit about Geometry (Only been in there for a few weeks and we have just talked about is two dimensional angles...)

That fifth one...The I word (Too damn big...Stupid scientists, "Just add a few more 'deca's and 'iso's; That'll confuse them!" :)) Looks good when you put the Multiplier on Infinite Root. Sure, you lose it in the background but look at all the pwetty colors!

jheriko

23rd September 2002 17:07 UTC

Originally posted by Xion(810)
Too damn big...Stupid scientists, "Just add a few more 'deca's and 'iso's; That'll confuse them!"

dirkdeftly

23rd September 2002 18:32 UTC

Someday...Someday I will make the platonic polytopes and blow you ALL out of the water!

*ahem* Pretty cool jheriko :P

jheriko

23rd September 2002 19:35 UTC

Platonic polytopes in AVS? I assume you mean 3-d projections or slices of regular polytopes. If you want to make the 4-d ones that would be some cool code, if you make the projection code I'd gladly supply the coordinates for the 4d polytopes - in terms of phi naturally. In higher dimesions (5+) though the only polytopes that exist are the analogues of the tetrahedron, cube and octahedron which are pretty easy to get the co-ords for (mostly using 1's and 0's).

I did my first year essay on regular 4d polytopes (polychora), and defined them all in it, I was dead chuffed at the time (now I regret it because I could have done an essay on the maths of AVS instead - it was to simple for year two so I cant use it for this year either :( ). The 24-cell (icosikaitetrachoron) was the hardest to figure out since it has no analog in 3-space and it is self dualling so it can't be derived from the other shapes.

dirkdeftly

23rd September 2002 21:20 UTC

4-d, yes. And I'll be working on them on my own, thankyouverymuch :P
I've done the hypercube already...It's around here somewhere. It'll be coming out in my next pack.

Karnov

23rd September 2002 21:49 UTC

my......f*cking....head....

make them stop.............

Zevensoft

24th September 2002 08:29 UTC

4D Projection Code:

Standard: x=(x/w)/(z/w);y=(y/w)/(z/w);

Optimized: z=w/z;w=1/w;x=x*w*z;y=y*w*z;

jheriko

24th September 2002 08:32 UTC

Originally posted by Atero
I've done the hypercube already.

dirkdeftly

24th September 2002 20:17 UTC

Traced the hypercube (1 superscope, making it uberfast at 58 points), then scaled it so it rotated in a unit hypercube, rotated it around the 6 planes (wx, wy, wz, xy, xz, yz), then projected it into 3D and then into 2D.

I've now completed the 4-simplex, and I'm working on the 4-cross polytope. Pretty easy stuff if you know your point-by-point tracing :)

jheriko

24th September 2002 21:06 UTC

Yeah, I hope you have fun with the 24-cell when you get to it, its an interesting challenge to work some of it out. :D

dirkdeftly

25th September 2002 00:25 UTC

That looks like it could be a piece of work...The hypercube was the easiest, you just needed every corner connected to every other adjacent corner. The simplex was fairly easy when you have coordinates plotted out for you. The cross polytope you just need every vertex connected to every other vertex except the one directly opposite. But the 24-cell is going to be a piece of work

Karnov

25th September 2002 03:35 UTC

I find that the floating s-coordinates of teh 37.314159 point x-cube were incridible easy to manipulate. I mean, with out 36-cell kernals in our ip's we would all have to eat phi.

What a world that would be.

hey, i just thought of a funny pun for total noob AVS'ers

DAMN DIRTY .APES!!!


:blah: :blah: :) :) :) :D :D :p :p :D :D :) :) :blah: :blah:

damn i crack my self (and apperntly those smilies) up

dirkdeftly

25th September 2002 05:05 UTC

Shut up karnov.

I just wanna see someone do that 600-cell...That would be 73h 5h17

Jaheckelsafar

25th September 2002 07:45 UTC

"Puns are the lowest form of humour; unless they're yours."
- Gary Larson

That response was just perfect Atero.

jheriko

25th September 2002 08:25 UTC

Originally posted by Atero

I just wanna see someone do that 600-cell...That would be 73h 5h17

Karnov

25th September 2002 12:31 UTC

i feel as if ive been brused off. :cry:


(could someone explain to me what 4-d is?)
(i dont get it, and (stupid) people (who dont understand either) trying to explain it to me piss me off):igor:

jheriko

25th September 2002 13:39 UTC

Okay you have your basic 3 dimensions of space, x, y and z, which are 3 axes all at right angles to each other so that you can vary values of x, y and z without them effecting each other. If you take a foruth axis (w) and place so that it as at a right angle to x, y and z you can define a fourth dimesional space (a 4-space) where you have co-ordinates (w, x, y, z) for all of the possible points. You can define geometry in 4-space in the same way that you do it in a 3-space or 2-space, by using points, lines, polygons and polyhedra as well as all manner curves and surfaces.

You can carry patterns through dimensions as well, so for instance we can define the hypercube from cubes as we define cubes from squares and squares from lines.

Square vertices: (+1,+1)
Cube vertices: (+1,+1,+1)
Hypercube vertices: (+1,+1,+1,+1)

If you wanted to take it further you could define the vertices of 5-cubes or 6-cubes in a similar way.

You can take these higher dimensional co-ordinates and project them onto 2d planes or 3d volumes in the same way that you can project 3d geometry onto a 2d plane.

Karnov

25th September 2002 21:56 UTC

I wish i could sit down with you guys and a peice of paper

f*cking ASCII sucks to try to communicate with

*sigh* well, thanks for the explanation, i think i get it

The thing that messes me up, is that 4-d space (and lines/shapes) would be impossible to represent in 4 dimensions right?

It's cuase we cant "see" four dimensions, right?

So, any 4-d object you put into a 3-d or 2-d plane is distorted in some sense, right?

So, everything you are doing in 4-d is completley hypothetical.

which brings me to my point, how in the hell do you know you are doing anything right?

(im sure my logic train derailed somewhere there, just point me to where :))

Can someone (atero) please post your "hypercube" so i can come to a more complete understanding of the forth dimension?

Xion(810)

25th September 2002 22:29 UTC

TOO MUCH CODE!!!!!!!AHHHHHHHHH!

*falls down and holds his head chanting "Can't sleep, code will eat me..."*

Karnov

26th September 2002 01:17 UTC

im *almost* as lost as you are buddy-

my mantra is more like "fourth...*twitch*..deminsion?*twitch,twitch*"

jheriko

26th September 2002 09:57 UTC

Here are a few good pages describing the basics of 4D geometry with further links to things like videos of hypercubes and definitions of some more complex polytopes.

http://www.lboro.ac.uk/departments/ma/gallery/hyper/
http://mathforum.org/library/drmath/view/54719.html
http://mathforum.org/library/drmath/view/57230.html
http://mathforum.org/library/drmath/view/55326.html

Zevensoft

26th September 2002 13:03 UTC

Acually Karnov, you can't even see in 3D. People don't realise that their vision is just 2 2D images which correlate in your mind to create a Psuedo-3D Heightfeild. In fact, some people can't even do that, if they haven't developed that skill or they have a certain eye problem (Like astigmatism, where the eyes have differing aspect ratios, which I have :()

dirkdeftly

27th September 2002 03:56 UTC

Damn...you beat me to it. I taught you everything you know Zeven :p (if it weren't for me YOU wouldn'ta said that in the first place)

Anyway, there's two basic ways to represent 4-d objects. One is using a 3-d cross section. Analogy: Take a cube and stick it in a bowl of water. The part that's on the surface of the water is a cross section. Same way with 4-d. Take a 4-cube and stick it through our 3-d space. The part that's on the 'surface' of our space is the part that we see. The other way is to use a projection (like 3-d to 2-d, just 4-d to 3-d to 2-d).