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Re: [Phys-L] triangular induction puzzle





On 2022/Oct/12, at 03:59, Prof. Keith S. Taber via Phys-l <phys-l@mail.phys-l.org <mailto:phys-l@mail.phys-l.org>> wrote:

I can also offer '11'…

K


Also 11


To get five the non congruent must be 4/3 rds the congruent ones. (The non-congruent are congruent among themselves.)


bc …. sending to my maths gurus.

p.s. Again too easy, especially as I’m a maths dolt; — even more so at 85.

Oh! Wrong: I read score as area.


On 2022/Oct/11, at 23:47, John Denker via Phys-l <phys-l@mail.phys-l.org <mailto:phys-l@mail.phys-l.org>> wrote:

Hi --

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