Norman Albers Posted May 25, 2007 Posted May 25, 2007 Here is my intelligence test: describe the four corners of a square napkin folded twice. Are any two the same? (I failed.)
YT2095 Posted May 25, 2007 Posted May 25, 2007 define "Same" and explain How they are folded? there`s a kazillion and One ways to fold it twice, and no 2 things are Ever the "Same"
Norman Albers Posted May 25, 2007 Author Posted May 25, 2007 Folded twice to a quarter-square. Can you describe the lay of the folds?
Sayonara Posted May 25, 2007 Posted May 25, 2007 You end up with a "weak" corner, which is four flappy bits, a "medium" corner opposite it, which is two folded bits, and the remaining side has a "strong" corner at each end, which are one folded bit with two layers.
Norman Albers Posted May 25, 2007 Author Posted May 25, 2007 Sayonara is hot on it but I find your terms confusing, when you speak of opposite corners and a remaining side. Are the two "strong" corners, in your terminology, topologically identical?
Sayonara Posted May 25, 2007 Posted May 25, 2007 The strong corners are of course at each end of the second fold. If you cut them off the napkin in the same fashion, you could orient them so that they were identical. However in the overall topology of the intact napkin, I suppose they need to be identified differently. It rather depends on where you consider a corner to start and end What was your error?
YT2095 Posted May 25, 2007 Posted May 25, 2007 they can`t be, in the way he explained, as one of the 2 will have a fold connecting them and the other will not. 4 single 2 doubles (2 fold each) 1 single (4 layers 3 folds) 2 doubles (2 layers 1 fold)
Norman Albers Posted May 25, 2007 Author Posted May 25, 2007 If you did not peek, YT, I think you're smart!
YT2095 Posted May 25, 2007 Posted May 25, 2007 not at all, I only expanded upon what Sayo said, as it seemed you didn`t quite get what he was saying initialy just had a different way of saying it is all. and peek at what?
YT2095 Posted May 25, 2007 Posted May 25, 2007 only a mental image of what you said, and then just described what I see. so perhaps a Virtual Napkin, maybe from Burger King or something, I dunno?
YT2095 Posted May 25, 2007 Posted May 25, 2007 Species in my case seriously though, can`t you picture the 2 simple folds in your head? I find that almost unbelievable if you (or anyone can`t)! it`s simple 3D geometry, hell you can even 4D that one with ease EDIT: actualy, I`m not sure this really classes as an "Inteligence test" per se when I think about it, more of a Spatial awareness test I would think.
Norman Albers Posted May 25, 2007 Author Posted May 25, 2007 We are all, in different ways, geniuses and idiots. For me this hits a weak spot in vizualization.
YT2095 Posted May 25, 2007 Posted May 25, 2007 well I know My "idiot bits", I suck at Math for a kick-off you`re probably right
Sisyphus Posted June 6, 2007 Posted June 6, 2007 AFAIK, spatial reasoning is considered one of maybe half a dozen to a dozen components to the stupidly amorphous "quantity" we call intelligence. And yes, that is an incredibly easy one.
Norman Albers Posted June 6, 2007 Author Posted June 6, 2007 I vizualize all the scalar-longitudinal field modes in my photon study, including magnetic backstraps in the propagation direction. Here with napkin-folding I guess I'm just "incredibly" stupid. Sigh.
richard Posted June 10, 2007 Posted June 10, 2007 A square napkin would have four ninety degree corners all the same no matter how many times you fold it.
Norman Albers Posted June 11, 2007 Author Posted June 11, 2007 Richard, now describe the topology of folds or points on each corner.
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