Post by GeneticBlend on Dec 27, 2018 18:36:22 GMT -5
I've been working on the triangle puzzle on page 73. I think we are to come up with numbers for the shaded, smaller triangles within the larger triangles. I can determine numbers for the two tiny shaded triangles, but not for the other four shaded triangles. Does anyone think they have the same idea that I do?
Hey GB. Yes, I tried the number system too. These triangles (Sierpinski's gasket as we called it) are interesting. I taught my students how to create these triangles as a lab exercise in computer programming. It's cool watching the program build the multiple levels. Like you, I never could get the numbers to make any sense. Another technique i tried was to look at the position of the colored triangles. There are only two size triangles we need to be aware of and for simplicity I called them small and large. The small triangles we use with the small colored triangles and the large with the large colored triangles. So in my picture linked below I have circled a small triangle on the left that has a small triangle colored in it. If we label the three corners top, left and right, then the small triangle is on the left. The large circle example is also a left.
So looking at all of the colored-in triangles, from the top to the bottom you get: (SL = small left, SR = small right, T = top, LL = large left) SL, LL, ST, LL, ST or SL-LL-LL and ST-ST. I just grouped them by their location. OK, now we have two sets. Think Morse code... small = dot . and large = dash - Again, we get two groups: if small is dot we get .-- .. = W I If large is dot we get -.. -- = D M
Now, the lower triangle. You can invert it so it looks like the other triangle if you wish but it works either way. The groups we get if we invert it and go top to bottom are: SL, LR, SR, LL grouped: SL-LL and LR-SR = .- -. or -. .- = A N or N A
Our possible combinations of the four letters are WI AN or DM AN Place them in any order you wish. There are 4 possible combinations of two letter groups that take them in order: WIAN, WINA, DMAN, and DMNA.
That's as far as I got. Now what do you do with it?
I've been looking at these triangles on p.73. Here are some of the ideas I have....
The first puzzling thing to me is, why are there only two sizes of triangles shaded? There are six different sizes of triangles (counting from the smallest size that we can see shaded). It must mean something that we see only two sizes shaded here.
It so happens that most of the alphabet is number 1-20 alphanumerically, the first two sets of 10. (If you're counting in Base 10.) Is this why we see only two sizes?
If you look at each shaded triangle (any given one of them) you see that it's the center of of one of 9 same-size triangles around a bigger center triangle, which in turn is the center of one of 9 that go around a bigger center triangle, and so on. That fits exactly with the Base 10 number system. First 01 through 9, then on to the next level at 10, then 11 through 19, then to the next level at 20, and so on. Each empty center triangle, with the 1-9 triangles going around it, would represent 0 at the start of each set of 10. The 1-9 triangles are probably numbered in a certain order, maybe 1-3 at the top, 4-6 on left bottom, and 7-9 on the right bottom, or something like that.
So maybe the smallest shaded triangles represent the letters A through I (numbers 1-9). The next would be J at 10, but none of the those bigger center white triangles are shaded, so there would be no J's. Then the next size triangles would be K-S. (11-19). Then there would be no T through Z in the message, because there are no shaded triangles from 20 on. (Numbers 1-39 would be possible here.)
With this Base 10 system, the first tiny shaded triangle on the left could be the letter "E'. Maybe we're supposed to "read" from left to right, and the one furthest one on the left would be the first letter in a word? And maybe there are two words here -- one five-letter word in the top big triangle, and one four-letter word in the bottom big triangle?
In one place there are two triangles shaded, one tiny one on top of a larger one. According to the system I described above, the larger one could be "L" (number 12)and and the tiny would could be "D" (number 4). But it doesn't seem right that he would put those two in the same place there, so I'm probably missing something!
One thing to think about: the larger shaded triangle on the right side (of the top big triangle) is in the identical same place as one of the larger shaded triangles in the bottom big triangle, if it's inverted. So that could be a repeated letter. In this Base 10 system, it could be number 15, the letter "O".
Last Edit: Jul 1, 2019 17:07:18 GMT -5 by roundabout
Something really simple that I didn't see before: these shaded triangles, all except for two of the tiny ones, line up vertically with at least one of the other shaded triangles. But they're all on different positions horizontally. Does this mean that it be another Zig Zag dot cipher, like the triangle Zig Zag cipher he used for the Facebook puzzle to reveal what the prize is? In that one, the vertices of the triangles lined up evenly with the 26 letter alphabet vertically down the page. At the end of that post he says, "Whatever you do, don't apply this to a certain page in the book!"
If you're like me, you think we should apply it to a certain page in the book. Which page did he mean? Maybe the big block code, but I don't see how it would work. It might work with this triangle puzzle though. The problem is that there seem to be 32 vertical spaces, not 26. But maybe that wouldn't matter.
Last Edit: Jul 2, 2019 15:55:35 GMT -5 by roundabout
I agree on the triangles that it might be the grid solve. I was trying to apply the grid solve to the puzzle on page 61. I was looking at the light gray and dark grey shades. Just a thought on the cipher wheel -would this work on the page 61 puzzle? Positions related to time.