I got this puzzle from YouTube. I would watch the video first, but I'll include screen captures and a description below so we can discuss it.
13 Man Arrangement
In the beginning of the video he starts with a picture consisting of 13 cartoon men.
After counting them (accurately) he then rearranges them using these cuts:
12 Man Arrangement
Here is a good image of the cuts right before full placement:
Full placement:
If you got here without watching the video, the curious part is that
there are now only 12 men.
WHY DID WE LOSE ONE MAN??
My Analysis
I realized I needed to narrow in. I chose shirts and pants to focus on. I originally tried just shirts or just pants, but because of where the split is, I wasn't getting anywhere. Choosing shirts and pants allows me to split the men in 2 like the cuts do.
The way I see it, logically, if the number of pants and shirts don't change, then neither should the number of men.
But if you count them in the separate images, you see that they do!
I thought if I wrote it down and played with it I might see what I am missing. I went from left to right, bottom to top (pants then shirts) representing the colors with "b" and "w" ("black" and "white" respectively).
NOTE: Because of the placement of the men, it made more sense to go bottom to top if you try splitting them. If you tilt your head to the right you can see it matches the image.
13 Man
- bw/ww/bw
- wb/bw/wb
- bw/bw
- ww/bw/wb
- bw/bw
12 Man
- bw/ww/wb
- wb/bw
- bw/bw
- ww/bw/wb
- bw/bw
This is where I'm stuck!!
Side Note:
This reminds me of another puzzle (I can't seem to find it now) where an image of a comb has a number of teeth (well say 13), and the way the image of the cut (much like this one) if you rearrange it you end up with 12 (or something) by increasing the length of the teeth.
I think a similar principle applies here, but I just can't see how.