Rotating Duocylinder

This is my first shot at a rotational solid, so the video might not be very clear. Feel free to give me any feedback and suggestions, and I'll work on a better video.

A duocylinder is a four dimensional object that is an extension of the cylinder to four
dimensions. The equations that describe it are x*x + y*y = r*r ; z*z + w*w = r*r , where x,y,z,w are coordinates in four space and r is the radius. You can think of it as a circle of circles, the first circle parallel to the xy plane and the second to the zw plane. I have it in a wireframe tesseract to give you a better sense of depth. Additionally, the duocylinder is shaded in the w axis from green (in the distance) to blue (in front). The cylinder is rotating in the yw plane.

Category:

Film & Animation

Tags:

• 4d
• tetraspace
• duocylinder
• tesseract
• hypercube

[Hippie1abc]

Isn't that a double torus? WTF? LOL! That's cool, how did you make it? Damned 4D-Cube^^

[throughthedoors]

This is not a double torus, which looks kind of like an eight. This is technically the "ridge" of a duocylinder, which does indeed resemble a torus. Think more of a tube than a cylinder, which explains why it appears to have a hole through its center. This is a very difficult object to visualize.

I again used Blender as a projection space. For the object itself, I basically took a bunch of connected circles and wrapped them around in a circle in the zw plane using python code.

[gruntreaper]

my head just exploded

[johnsmithbsc]

Cool, but it would be better with some variety in how it rotates.

[ApeFlyyy]

My mind is like my dick right now. Blown.

[944Nima]

The more I try to visualise it, the more confused I get. I understand the equations but with the 4th dimension I would have no idea how to represent that on a plot

[inyte0exe]

@DeviousBetrayer yes there can and acculy is its just as beings that reside within the 3rd dimension we can not observe them. we can only observe our own dimension the 3rd and those lower.

[AClarke2007]

@actionjackson9000 Yes, a moire effect; nice way of putting it. But how do we represent TIME visually?

[DeviousBetrayer]

Can something like that exist in the physical world?

[Wiintendoh]

HOW MANY FUCKING ENTRANCES ARE THERE

[xxpbdudexx]

FUUUUUUUUUUUUUUUUUUU-

[Lulzmaker]

The wireframe tesseract allows me to get a better sense of how full of fuck my head is when trying to understand this.

[MoveHD]

Never really experienced a mindfuck before I saw this video.

[Hopefulfilment]

@throughthedoors This isn't fair... after staring at a rotating tesseract for 5 minutes (another vid) and finally figuring it out (somewhat... in a small corner of the mind... maybe) i got this showed in my face. Gnn. Is it askew compaired to the tesseract (can it be) or am I just to confused... or maybe just way of? Would be cool to view in 3D (with goggles or as a hologram). Nice work though!!