The Pickover Square

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28 Mar 2013 05:37 #100304 by Br. John
The Pickover Square was created by Br. John
How many squares?

Attachment Pickover-Square.jpg not found


by Clifford Pickover
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28 Mar 2013 05:51 #100305 by void
Replied by void on topic Re: The Pickover Square
One could say none; that these are only visual representations of the ideal of Squares. One could also say 'all squares', for each square shape is representative of all of square-kind.

I stopped counting at 11, though.
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28 Mar 2013 05:57 - 28 Mar 2013 06:01 #100306 by
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I've counted 15 squares so far...though it seems everytime I look I see another one. It'll be fun to learn the answer.

And I went by squares instead of rectangles too.

*Edit* 16...This is addicting!
Last edit: 28 Mar 2013 06:01 by .

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28 Mar 2013 06:19 #100308 by Br. John
Replied by Br. John on topic Re: The Pickover Square
I don't know the answer. The entire thing is a square - the single largest. The top left corner is a corner to a square as is the bottom right corner - the next two largest. There is a single square in the middle - the third largest. There are four squares running from the bottom left to the top right which are the fourth largest. It goes on from there ....
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28 Mar 2013 07:56 #100320 by
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Yeah I'm at 16 :)

Fun exercise!

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28 Mar 2013 09:08 #100329 by Brenna
Replied by Brenna on topic Re: The Pickover Square
stuck on 15...


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28 Mar 2013 09:31 #100332 by void
Replied by void on topic Re: The Pickover Square
Are you people getting more than 11 using rectangles and/or assumed squares, too? Or am I just missing some of the explicit ones?
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28 Mar 2013 10:01 #100333 by Brenna
Replied by Brenna on topic Re: The Pickover Square
nope. actual squares


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28 Mar 2013 10:22 #100334 by
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aaaaah, my brain

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28 Mar 2013 10:59 #100339 by Brenna
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AH HA!! 16 :D


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28 Mar 2013 16:39 #100369 by
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I think I can see 17...but now my brain hurts. :laugh:

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28 Mar 2013 23:43 #100414 by Adder
Replied by Adder on topic Re: The Pickover Square
First pass got 12, but I'm out the door and will check back later!!
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29 Mar 2013 00:31 #100418 by Br. John
Replied by Br. John on topic Re: The Pickover Square
I get 16. Some of the squares are rotated so they have a diamond look (like in playing cards).
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29 Mar 2013 01:39 - 29 Mar 2013 02:18 #100424 by
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I got 16 too, John. I can't find this mystical 17th box...

(14?)
Last edit: 29 Mar 2013 02:18 by .

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29 Mar 2013 03:31 #100434 by Br. John
Replied by Br. John on topic Re: The Pickover Square
I'm reasonably certain it's 16. The 17 is coming from a tricky one that is easy to count twice. Printing it out and outlining the squares should settle this once and for all.
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29 Mar 2013 03:32 #100435 by
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I also got 16.
Darren, where is the 17th?!

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29 Mar 2013 03:53 #100436 by
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Yes! I can confirm 16. hahah.

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29 Mar 2013 04:10 #100442 by RyuJin
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I got 16 on my first pass....and on 2 following passes....but then again i excel in visual spatial skills...
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29 Mar 2013 04:25 #100446 by Wescli Wardest
Replied by Wescli Wardest on topic Re: The Pickover Square
I found that there are sixteen regular quadrilaterals . They can be identified in to six categories.

Diagonal - 2
One by on squares - 6
Two by two squares - 4
Three by three squares - 1
Five by five squares - 2
Seven by seven (the entire square) - 1
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02 Apr 2013 02:14 #101024 by
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Reliah wrote: I also got 16.
Darren, where is the 17th?!


On second thought...maybe there are only 16. That, or I was in some sort of heightened conscious state when I first looked. :blink: :silly: :lol:

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