(no subject)

[gothwalk]

Struggling with some 4D stuff here again - what does a 4D sphere look like in 3D? A sphere that grows and shrinks over its time duration/dimension? A cigar?

And what would the 4d equivalent of a flat disc like a coin be?

Comments

[(Anonymous)]

In general, they'll be moving in the 3D space. They'll only remain apparently stationary (except for the grow/shrinking) if the only component of their motion is in the 4th dimension.

(Imagine a sphere moving through a plane - the slice (growing from a point to a full circle, then shrinking again) will generally be moving in the plane, unless the sphere moves only along a line perpendicular to the plane)

All of these refer to a fourth *linear* dimension, of course. Time doesn't count. :-)

And yes, I'm at least one of the people who was commenting on the attention-economy (but not all of them! I wasn't talking to myself :-) This is Richard, aka Juan Fandango, but Juan can't be used for sensible posts. I mean, just because. :-)

[gothwalk.livejournal.com]

Groovy. I think I have a grip on it this time. :)