Which Word Appears in the Mirror?

[K Sengupta]

Does the letter R go above or below the line?

A B D O P Q
__________________

C E F G H I J K L M N

 

[davee123]

Does the letter R go above or below the line?

A B D O P Q
__________________

C E F G H I J K L M N

Above-- unless you're using a stencil font. In the same vein, which lists do X, Y and Z go into?

1) AMTUVW
2) HIO
3) BCDEK
4) FGJLNPQRS

DaveE

 

[Soca fo so]

I'm going to guess

Spoiler

Y in 1
Z in 2
X in 1, 2, and 3

and possibly Y in 2 also

 

[davee123]

I'm going to guess

Spoiler

Y in 1
Z in 2
X in 1, 2, and 3

and possibly Y in 2 also

Your placement of Y is correct, but Z isn't where I was going with it-- and by my reasoning, X and Y only belong in one of the 4 lists.

DaveE

 

[Soca fo so]

Spoiler

I was looking at the symmetry of the letters with my answer, but would I be right in saying the answer has to do with topology/graph theory?

 

[Soca fo so]

Spoiler

X in 3, Y in 1, Z in 4?

 

[Jimmy Snyder]

1) AMTUVW
2) HIO
3) BCDEK
4) FGJLNPQRS

DaveE

This is nice, I had never seen it before. I propose the following variation:
1)AMTUVWY
2)HI
3)BCDEK
4)FGJLPQR
5)NSZ
6)X
7)O

Spoiler

1) Vertical axis
2) Vertical and horizontal axes and 180 degrees rotation
3) Horizontal axis
4) None
5) 180 degrees rotation
6) Vertical, horizontal, and both diagonal axes, 90 degrees rotation
7) All axes, all degrees rotation

 

[Soca fo so]

Spoiler

But doesn't 2 have 180 degrees rotation too?

Back to the original is the answer X in 2, Y in 1, Z in 4 then?

With the common mirror flip symmetries:

1)Vertical axis
2)Vertical and horizontal axes
3)Horizontal axis
4)None

(didn't originally see some letters in 4 had the 180 degree rotational symmetry)

 

[Jimmy Snyder]

Thank you, Soca fo so. I have edited my post.

 

[davee123]

Spoiler

Back to the original is the answer X in 2, Y in 1, Z in 4 then?

Yep! That's what I was going for.

Spoiler

I thought about adding the separate category for rotational symmetry, but it created some ambiguity for O, and seemed to make the problem either too complex or a dead giveaway, so I figured I'd just go with the straight 90 degree axes of symmetry.

DaveE

 

[Jimmy Snyder]

A long while ago someone showed me a package of Camel's cigarettes, not directly, but in a mirror. There in the mirror plainly showed the word CHOICE and I was set to wondering what word was printed on the pack that showed thus in the mirror. Of course, the word CHOICE itself would show up as ECIOHC wouldn't it?