What I've found looking for some clear defintiion, it seems the correct one would be "each edge should have exactly 2 faces and geometry should have a thickness". E.g. imagine icosphere with a removed face - edges around the hole will have just 1 face to them. And the thickness property would explain why mobius strip is non-manifold.
@dyotoorion183511 ай бұрын
That is also correct and a good definition. Thanks! :-)
@frenkyb1233 ай бұрын
Very good explanation, thanks a lot.
@dyotoorion18353 ай бұрын
Cheers! :-)
@ianh06282 жыл бұрын
Thanks, a very nice explanation of the definition of non manifold, which is missing in many video of the same topics. You definitely deserve more likes.
@dyotoorion18352 жыл бұрын
Cheers! :-)
@Punditty8 ай бұрын
Your explanation really helped. Thank you.
@oscarblanco13032 жыл бұрын
Thank you very much! beautiful explanation
@dyotoorion18352 жыл бұрын
My pleasure. :-) Glad you found it helpful!
@cinemauntold3 ай бұрын
RIGHT
@MattVarner10 ай бұрын
In another life, I'd love to deep-dive into mathematical concepts more than I got around to in this one. Right now, at 52, and hobby-editing my dumb little project...I just need to know the brain-fart I'm committing while trying to force a face between two admittedly different kinds of edge loops, and whether the reason I'm stuck is whether I'm committing a crime against math or not. Appreciate the warning, however.
@dyotoorion183510 ай бұрын
Hehe. Don't worry I'm not an expert on Topological Math either. :P
@hjvhjfv63204 ай бұрын
Slightly unclear what "the correct direction" is supposed to be
@dyotoorion18354 ай бұрын
There is no "correct direction" per se. It's just having all faces pointing in a consistent direction. :-) The direction you want them all to face. The problem with a "Non-Manifold" Geometry is that it's geometry that cannot have consistent face direction. I hope that clarifies.
@AshiqAli-te7tr2 ай бұрын
Thank you for the explanation mate.
@dyotoorion18352 ай бұрын
@@AshiqAli-te7tr Cheers! :-)
@MccZerk2 жыл бұрын
Your defintion of Manifold to be something we want or rational geometry was not helpful in the slightest.
@dyotoorion18352 жыл бұрын
If a person states that they do not like something, but do not give a proper explanation as to why they do not like it, it is really just saying something about themselves, rather than any actual criticism of the thing itself.
@shanel104 Жыл бұрын
@@dyotoorion1835sounds like the non manifolds got the better of him 😅 my model has 30,000 help!!!