23 replies to this topic

[phil1882]

can you generate the next 4 rows?
at what point would the number of black overtake the number of red?

[curr3nt]

Spoiler for Attempt at a guess...

[phil1882]

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

there actually was an outer most layer to the picture that i deliberately removed to make the puzzle more challenging.

Spoiler for average spoiler

the picture is based on the primes, or more specifically the prime factorization.

Spoiler for solution

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

[bonanova]

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?

[curr3nt]

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.

[phil1882]

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.

[curr3nt]

Spoiler for I'm having some issues...

How are you determining red and black?

I see the rows for the primes where red is flagged when the mod is equal to 0. So I was using red when n1 mod n2 = 0 and black when n1 and n2 share a factor but that gives me the reverse for the non-primes. I also had to use red if prime and black if not when n1 = n2.

I get the following which matches the pattern of squares but not the coloring...

[curr3nt]

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

[CaptainEd]

False alarm

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

[CaptainEd]

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