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tree pattern puzzle


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23 replies to this topic

#1 phil1882

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Posted 03 November 2012 - 03:15 PM

triangle2.PNG
can you generate the next 4 rows?
at what point would the number of black overtake the number of red?
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#2 curr3nt

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Posted 05 November 2012 - 09:20 PM

Spoiler for Attempt at a guess...

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#3 phil1882

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Posted 06 November 2012 - 02:33 AM

congrats current. that is indeed the next four rows.
any clue on my second question? I'm honestly not sure myself.
Spoiler for minor spoiler

Spoiler for average spoiler

Spoiler for solution

Edited by phil1882, 06 November 2012 - 02:39 AM.

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#4 bonanova

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Posted 06 November 2012 - 10:13 AM

Are you sure that yours and curr3ent's images are identical?

Does your second question which row is mostly black, or at which row there are more cumulative blacks?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#5 curr3nt

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Posted 06 November 2012 - 12:55 PM

Looks like I have a square that is black where yours is red on the fourth row.

I had no idea what the tree was supposed to be. I was just extending patterns.
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#6 phil1882

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Posted 06 November 2012 - 02:14 PM

your right, should be black, not red. (should alternate black red black red)
for my second question, ignoring the outer most layer (my solution spoiler), which row is cumulative black more than cumulative red?

Edited by phil1882, 06 November 2012 - 02:17 PM.

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#7 curr3nt

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Posted 06 November 2012 - 03:33 PM

Spoiler for I'm having some issues...

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#8 curr3nt

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Posted 06 November 2012 - 03:47 PM

wait... in your triangle the "12th" diagonal has a square on 2,3,4,6,8 and 10 but not 9?
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#9 CaptainEd

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Posted 06 November 2012 - 04:17 PM

False alarm

Edited by CaptainEd, 06 November 2012 - 04:19 PM.

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#10 CaptainEd

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Posted 06 November 2012 - 07:19 PM

wait... in your triangle the "12th" diagonal has a square on 2,3,4,6,8 and 10 but not 9?

Another apparent oddity: the "diagonal" for 4 has a BLACK square for 4, 8, 12, 16, 20, but RED for 24
ALso, the "diagonal" for 9 has Black for 9, but Red for 18

Of course, these wouldn't be oddities if we understood the pattern...but I don't :wacko:
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