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[Phys-L] triangular induction puzzle



Hi --

Here is a puzzle that has been floating around recently:
https://av8n.com/physics/img48/tri-inference.png

Given:
The first figure has a score of 1.
The second figure has a score of 5.

Questions:
a) What is the score of the third figure?
b) How do you know?
c) How sure are you?

Remarks:
* Hint: It's harder than it looks.
* There's no physics in it per_se, but similar situations
arise in physics All The Time.
* This is not a word game. No wise-guy dirty tricks. The
things that look like triangles are triangles. The things
that look to be congruent are congruent.
* Imagine assigning this to your students. Think about
what you would infer from the various answers you get.
* Hint: This can be used to illustrate an interesting
point, more interesting than the plain numerical answer.