Here is my intelligence test: describe the four corners of a square napkin folded twice. Are any two the same? (I failed.)

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"

Folded twice to a quarter-square. Can you describe the lay of the folds?

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.

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?

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?

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)

If you did not peek, YT, I think you're smart!

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?

You've got a napkin in your lap, haven't you?

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?

Ah, a cultural advantage.

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.

We are all, in different ways, geniuses and idiots. For me this hits a weak spot in vizualization.

well I know My "idiot bits", I suck at Math for a kick-off

 

you`re probably right

'Tis a wise person who knows theirself.

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.

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.

A square napkin would have four ninety degree corners all the same no matter how many times you fold it.

Richard, now describe the topology of folds or points on each corner.