The Traditional Answer: Four Holes
Let’s begin with an ordinary intact shirt.
A conventional T-shirt has four major openings:
- The neck opening
- The left sleeve opening
- The right sleeve opening
- The bottom opening
So, if someone asks how many holes a normal shirt has, four is the obvious answer.
This is probably why these puzzles fool people.
The brain recognizes the object immediately.
It sees “shirt” and retrieves a familiar mental model.
That mental shortcut works perfectly well in everyday life.
But puzzles are designed to punish shortcuts.
Then the Tears Change Everything
Now imagine the shirt has several large tears.
Some are on the front.
Some are on the back.
Some appear to pass completely through the garment.
Suddenly, the original four openings may no longer be the entire answer.
The difficulty comes from deciding whether each visible tear should count as:
- One hole
- Two holes
- A tear rather than a hole
- An opening connected to another opening
This is where the puzzle becomes interesting.
Why “Hole” Is More Complicated Than It Sounds
The word hole does not have one universally accepted mathematical definition in everyday language.
A hole can be:
- An opening through a material
- A cavity
- A gap
- A puncture
- A passage
- A tear
If you punch a pencil through a sheet of paper, you might say the paper has one hole.
But if the paper is folded, the situation becomes more complicated.
Suppose you fold a sheet in half and punch through both layers.

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