The extroverted mathematician looks at YOUR shoes when he's speaking to you.
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The extrovert looks at the other person's shoes.
Oh my god a talking coconut!
A hoarse fly.
The shoe has a sole
He stares at shoes while he talks to you.
One's a quick snack and the other's a sick quack!
One's mad cow disease the other's an agricultural problem.
An extrovert mathematician will be looking at the other guy's shoes.
Extroverted
When talking to you, the extrovert mathematician looks at *your* shoes.
During any conversation he's looking at YOUR shoes.
So he could look at others' faces.