4-Dimensional Projection

Catalyst · **Posted:** Thu Nov 18, 2004 11:07 pm

An idea I had that I wanted to toy around with (used Turing since it was fast to prototype)
Left Click to rotate the tesseract (4-d cube) and Right Click to rotate the resulting 3 dimensional projection of the tesseract.

note: The rotation in 4 dimensions might be a bit off since I didnt have any source material on the topic

Neo · **Posted:** Thu Nov 18, 2004 11:59 pm

Thats simply amazing man... How do you even get started doing these kinds of programs? I mean where do you learn this stuff?

Neo · **Posted:** Fri Nov 19, 2004 12:11 am

If you change line 232 from drawline to drawmapleleaf you get a really cool effect. 8)

Tony · **Posted:** Fri Nov 19, 2004 12:30 am

alright, more cool stuff from Catalyst!

hmm... watching the hypercube movie is not helping me understand as to what's going on Confused

zomg · **Posted:** Fri Nov 19, 2004 11:01 am

this is pretty wicked

i love how its smoth and the shadows make it look friggen wicked

nice job!! Very Happy

Andy · **Posted:** Fri Nov 19, 2004 3:47 pm

nicely done... where r u applyin for uni btw and what program

Delos · **Posted:** Fri Nov 19, 2004 4:40 pm

Argh! 4th dim visualizations...
You know Catalyst, this stuff is really cerebrally challenging. Don't they use these sorts of things to model really complex network topologies or something...?

rizzix · **Posted:** Fri Nov 19, 2004 11:39 pm

think of a box composed with each side a box.. that is ur hypercube... nice work btw.

Paul · **Posted:** Fri Nov 19, 2004 11:58 pm

explain a four dimensional object to me please. I couldn't figure head or tail out of that.

zomg · **Posted:** Sat Nov 20, 2004 12:01 am

u have to click the mouse and move the cube

EDIT: Ithought he didnt know how to use the program... My bad Embarassed

Tony · **Posted:** Sat Nov 20, 2004 3:02 am

Paul wrote:

explain a four dimensional object to me please.

well mathematically its really easy. Instead of (x,y,z) coordinate system we use to decrible object's potition we use (x,y,z,w) (not sure on the name of 4th element).

Visually/Conseptually though... Think of it this way. You have a some dimention. To go to the step above, you translate the shape in the direction perpendicular to itself and join the edges.

1D ___ line

2D |___ another 1D line perpendicular to the first line. Join the edges to get a square []

3D You know how to draw a cube, right? Draw another square behind the first one and join the edges.
Posted Image, might have been reduced in size. Click Image to view fullscreen.

Posted Image, might have been reduced in size. Click Image to view fullscreen.

you follow the same pattern to get to 4D. Just draw a cube perpendicular to itself, so that each face of the hypercube is a cube (similary as each face of a cube is a square and each edge of a square is a line) ~ thus 4D.

Posted Image, might have been reduced in size. Click Image to view fullscreen.

Go here for further explanation

Paul · **Posted:** Sat Nov 20, 2004 1:00 pm

I see, my bad. I got kinda mixed up between this and my reading in string theory and calabi-yau spaces.
A hypercube does not actually represent extra spacial dimensions does it? Confused

MihaiG · **Posted:** Sat Nov 20, 2004 1:44 pm

that hyper cube really made me think... for the first time my mind went blank..... thnx.... now forgot what i was going to say Wink

...btw splendid good job old chap

MihaiG · **Posted:** Sat Nov 20, 2004 1:53 pm

im sorry i just made a 5-Dimmesional cube ----!!! instead of drawline.... put drawbox!!! or a hyper oval... out drawoval.... or hyperstar...drawstar!!! the 5dcube is crazy shit(sorry for postiong twice i didnt mean it)

HyperFlexed · **Posted:** Sat Nov 20, 2004 1:57 pm

It's still 3d though. In visual. I'm assuming 4d is only theoretic.

I still don't get it.

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