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Tool Talk => Swiss Army Knights Forum => Topic started by: Ron Who on May 24, 2017, 08:38:34 PM

Title: SAKs and the Pythagorean Theorem
Post by: Ron Who on May 24, 2017, 08:38:34 PM
The Pythagorean theorem in 12 Classics.  :D
Title: Re: SAKs and the Pythagorean Theorem
Post by: kottskrapa on May 24, 2017, 08:40:54 PM
Nice one!

It's not failure if you learn something from it

Title: Re: SAKs and the Pythagorean Theorem
Post by: Poncho65 on May 24, 2017, 08:46:20 PM
Nice one!

It's not failure if you learn something from it

+1  :like: :like:
Title: Re: SAKs and the Pythagorean Theorem
Post by: Reinier on May 24, 2017, 08:48:50 PM
The Pythagorean theorem in 12 Classics.  :D

Cool!
Now make one in 5, 12, 13! And 12, 35, 37! And 48, 55, 73!
How many Classics do you have? :pok:
Title: Re: SAKs and the Pythagorean Theorem
Post by: Ron Who on May 24, 2017, 08:54:59 PM
The Pythagorean theorem in 12 Classics.  :D

Cool!
Now make one in 5, 12, 13! And 12, 35, 37! And 48, 55, 73!
How many Classics do you have? :pok:
The next smallest would be 6,8,10 and I can't even do that. :-\
Title: Re: SAKs and the Pythagorean Theorem
Post by: zoidberg on May 24, 2017, 09:15:50 PM
Classic, well done!   :like:   :like:
Title: Re: SAKs and the Pythagorean Theorem
Post by: El Corkscrew on May 24, 2017, 09:43:12 PM
Just consulted my math teacher friend.

It checks out.
Title: Re: SAKs and the Pythagorean Theorem
Post by: styx on May 24, 2017, 09:46:03 PM
what if you were to switch things up and mix in the 84mm, 111mm and 93mm?
Title: Re: SAKs and the Pythagorean Theorem
Post by: El Corkscrew on May 24, 2017, 09:48:12 PM
what if you were to switch things up and mix in the 84mm, 111mm and 93mm?

Way to throw a wrench in the gears, Styx!
Title: Re: SAKs and the Pythagorean Theorem
Post by: Ron Who on May 24, 2017, 09:58:25 PM
what if you were to switch things up and mix in the 84mm, 111mm and 93mm?

I think it can be done with 12 times 84 times 93 times 111 SAKs at most.
Title: Re: SAKs and the Pythagorean Theorem
Post by: kkokkolis on May 24, 2017, 10:15:29 PM
Brilliant.


The full representation requires drawing the full rectangulars, which means 4x the SAKs used. But this is an elegant abstract solution, similar to the one Pythagoras used the first time. Perhaps he used tiles or building blocks or something. This way he didn't have to prove that the angle is right, something you would have to prove when using sticks, or SAKs.
Title: Re: SAKs and the Pythagorean Theorem
Post by: El Corkscrew on May 24, 2017, 10:22:07 PM
Brilliant.


The full representation requires drawing the full rectangulars, which means 4x the SAKs used. But this is an elegant abstract solution, similar to the one Pythagoras used the first time. Perhaps he used tiles or building blocks or something. This way he didn't have to prove that the angle is right, something you would have to prove when using sticks, or SAKs.

We see why you're sporting the fancy hat and bow tie, we've got a professor in the house!  :D :cheers:
Title: Re: SAKs and the Pythagorean Theorem
Post by: Reinier on May 24, 2017, 10:26:15 PM
what if you were to switch things up and mix in the 84mm, 111mm and 93mm?

I think it can be done with 12 times 84 times 93 times 111 SAKs at most.

Maybe SAK Guy can do it :)
Title: Re: SAKs and the Pythagorean Theorem
Post by: pa_strunk on May 24, 2017, 10:28:44 PM
Finally somebody has proven a universal truth, smart people collect SAKs and MTs   :climber:
Title: Re: SAKs and the Pythagorean Theorem
Post by: Ron Who on May 24, 2017, 10:29:46 PM
what if you were to switch things up and mix in the 84mm, 111mm and 93mm?

I think it can be done with 12 times 84 times 93 times 111 SAKs at most.

Maybe SAK Guy can do it :)
:rofl:
Title: Re: SAKs and the Pythagorean Theorem
Post by: El Corkscrew on May 24, 2017, 10:48:56 PM
Finally somebody has proven a universal truth, smart people collect SAKs and MTs   :climber:


correlation vs causation

...I'm really kinda dumb... but then again I ONLY collect SAKs, not MT's too...
Title: Re: SAKs and the Pythagorean Theorem
Post by: aluminated on May 24, 2017, 11:49:25 PM
Finally somebody has proven a universal truth, smart people collect SAKs and MTs   :climber:


correlation vs causation

...I'm really kinda dumb... but then again I ONLY collect SAKs, not MT's too...
Nobody is perfect. I think. :think:
Title: Re: SAKs and the Pythagorean Theorem
Post by: ColoSwiss on May 25, 2017, 02:30:04 AM
Finally somebody has proven a universal truth, smart people collect SAKs and MTs   :climber:


correlation vs causation

...I'm really kinda dumb... but then again I ONLY collect SAKs, not MT's too...
Nobody is perfect. I think. :think:

"Nobody's perfect."  - 'Some Like It Hot'

Title: Re: SAKs and the Pythagorean Theorem
Post by: ColoSwiss on May 25, 2017, 02:30:54 AM
Nice one!

It's not failure if you learn something from it

+1  :like: :like:

+2!   :cheers:
Title: Re: SAKs and the Pythagorean Theorem
Post by: Mizedog on May 25, 2017, 03:32:03 AM
what if you were to switch things up and mix in the 84mm, 111mm and 93mm?

Way to throw a wrench in the gears, Styx!
I thought 84mm and 111mm knives don't have wenches; )

I showed this to my middle school child. Great tool.

Sent from my SAMSUNG-SM-N900A using Tapatalk

Title: Re: SAKs and the Pythagorean Theorem
Post by: BleaKrytE on May 25, 2017, 03:45:29 AM
Finally somebody has proven a universal truth, smart people collect SAKs and MTs   :climber:
I'm not smart. I'm horrible at math and exact sciences in general. But, then again, I'm not a collector xD


Enviado do meu iPhone usando Tapatalk
Title: Re: SAKs and the Pythagorean Theorem
Post by: Grass on May 25, 2017, 11:30:27 PM
The Pythagorean theorem in 12 Classics.  :D

This is beautiful. I am in awe.
Title: Re: SAKs and the Pythagorean Theorem
Post by: Steinar on May 26, 2017, 10:17:40 AM
If you create a triangle with 99 58 mm along one side, 93 91 mm along another and 92 111 mm along the last, it will have the angles ~34.21°, ~55.97°, ~89.82°. So if you have a large collection and plenty of room, that's one of the nicer solutions I found. (The almost hypotenuse will be over 10 m long, obviously.) Personally, I have neither the space at home, nor the knives, to demonstrate. :)
Title: Re: SAKs and the Pythagorean Theorem
Post by: Ron Who on May 26, 2017, 10:23:36 AM
 :ahhh
Title: Re: SAKs and the Pythagorean Theorem
Post by: ReamerPunch on May 26, 2017, 10:37:38 AM
The Pythagorean theorem in 12 Classics.  :D

 :salute:
That's awesome.
Title: Re: SAKs and the Pythagorean Theorem
Post by: pfrsantos on May 26, 2017, 01:44:14 PM
https://www.youtube.com/watch?v=MDjbifRcgbU

Title: Re: SAKs and the Pythagorean Theorem
Post by: pfrsantos on May 26, 2017, 01:46:01 PM
Finally somebody has proven a universal truth, smart people collect SAKs and MTs   :climber:
I'm not smart. I'm horrible at math and exact sciences in general. But, then again, I'm not a collector xD


Enviado do meu iPhone usando Tapatalk

General But!

 :salute:


 :D :D
Title: Re: SAKs and the Pythagorean Theorem
Post by: Ron Who on May 26, 2017, 03:24:52 PM
Nice toy!  :like:
Title: Re: SAKs and the Pythagorean Theorem
Post by: styx on May 26, 2017, 04:32:38 PM
what if you were to switch things up and mix in the 84mm, 111mm and 93mm?

I think it can be done with 12 times 84 times 93 times 111 SAKs at most.

Maybe SAK Guy can do it :)

Someone should challenge Robert to it then