4-Dimensional Projection

rizzix · **Posted:** Sat Nov 20, 2004 4:30 pm

do u know how a cube has 6 2D sides? a hypercube has 6 3D sides(i.e each side has a depth dimension as well).. hence 4D.. cuz to describe the cube u have to talk about 4 different dimensions

Catalyst · **Posted:** Sat Nov 20, 2004 4:34 pm

dodge: thinking science or engineering but having a hard time deciding past that, uni will probably waterloo or mcmaster (since it has general 1st year engineering)

hyperflexed: yes in visual it is only 3d since im projecting the 4d cube into 3d space just as you project a 3d object to 2d to get an image of a 3d dimensional object on a screen

some of the projection attributes might be distorting was going on here, this version give a better view (also replaced 1st one too)

HyperFlexed · **Posted:** Sat Nov 20, 2004 9:01 pm

okayy... I thought I was going crazy. good.

Andy · **Posted:** Sun Nov 21, 2004 8:06 pm

cool.. what engineering? im prolly doing either software engineering or computer...

Catalyst · **Posted:** Sun Nov 21, 2004 9:50 pm

undecided myself

RaPsCaLLioN · **Posted:** Mon Nov 22, 2004 9:31 pm

Not all 3D objects are defined as a perpendicular translation of a 2D shape though. Such as a sphere is a two plane rotation of a circle mapping each point along the circumfrence as it spins - think of a spinning quarter, it looks like a sphere as it spins. How would you represent a 4D circular shape?

rizzix · **Posted:** Mon Nov 22, 2004 10:44 pm

4D circular... himm like a tire? ah! has to be..

RaPsCaLLioN · **Posted:** Mon Nov 22, 2004 11:01 pm

Uh... 4D spherical maybe? See each shape has it's own name in whatever dimension. Square=Cube=Tesseract... but Circle=Sphere=? How would you represent a rounded 4D image? What would you call it?

Catalyst · **Posted:** Mon Nov 22, 2004 11:45 pm

im guessing it would look exactly like a sphere (making it rather uninteresting) when projected down to 3d(since spheres are circles when projected to 2d). To generate it you would need to rotate a sphere through the 4th dimension. For naming it i think hypersphere would work although it lacks pinache. Laughing

Viper · **Posted:** Thu Nov 25, 2004 4:48 pm

omg that is sooo sick

omar · **Posted:** Wed Dec 01, 2004 8:54 am

True it's not 4D but it is still pretty amazing... with drawstar and drawmapleleaf u will be pretty much stuned ( hey snowman guy make ur avatar smaller ... it's annoying.)

zomg · **Posted:** Wed Dec 01, 2004 11:55 am

i always thought a sphere was just 2d circle with shading to make it look like its 3d how could u make a 4d circle Confused

unless it was transparent i guess...

m&m · **Posted:** Wed Dec 01, 2004 12:08 pm

this is pretty mind boggling Hit Wall

jeez i didn't evenkno anything existed beyond 3D lol

rizzix · **Posted:** Wed Dec 01, 2004 3:10 pm

yes there is also 5d 6d 7d 8d and Nd... but u may not be able to represent them visually

omar · **Posted:** Thu Dec 02, 2004 9:41 am

Ok listen professors all over the world have concluded that we live in a three dimensional world hence the fact that any figure you can imagine be defined by three axis... the only other argument is that the fourth dimension is time which is still unreasonable to my standards. If you claim you have a four dimensional object it can still be defined using the three axis x,y,z don't be stupid Evil or Very Mad

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