# Thread: As Long as it is wide could be a triangle.

1. Getting the hang of it. Copper
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I agree with turkeymonkey... we need to take a step backwards here. First of all, cartoonman, you'll see that I said that the triangle necessarily *can't* be equilateral if the H and W are the same. If the triangle theory is correct, the base would be naturally longer than the other two sides. (Oh and terabithan, you may certainly be right about the square being the right way to go, but clinging to that blindly is dangerous... let's open our eyes to other possibilities.)

Now, back to the beginning. This theory is based on the assumption that the "five to a side" clue and the "box as high as wide" clue are connected (which we don't know with certainty, of course). If it is a set of "boxes" in the shape of a triangle, it doesn't really matter if the boxes themselves are triangles, circles, squares, or pomegranites: you can still align them in such a way as to make a triangle as wide as it is high.

As for the the 322 representing the pythagoran theorem/triangles, my gut says that this is not the way to go... but who knows. Regardless, I like the way you're thinking hippodude... the one problem I have with your theory is that if each of those two right triangles contains 15 "boxes," then two of them placed together would give you 30. (Unless you overlapped the longer diagonal line, of course.)

Anyway, have I added anything with all this typing? Nope. Just wanted to try to get folks back on the same page with the triangle theory.

Matt

2. you are visualizing it wrong....

think of a 5x5 square grid ... now slice it in half diagonally from the top left corner to the bottom right corner. the resulting figure has only 10 full squares. it has 5 right triangles that are half squares. in total, 10 + (5 * 0.5) = 10+2.5=12.5 squares

which makes sense cuz 12.5*2=25

3. Junior Twelever TwelevePlus
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Hey, Hipp, I like you idea about the triangles as much as your idea about the Moon Trees.gret

4. Getting the hang of it. Copper
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ok, I'm with you hippo. I pictured it the same way except that there were no "half" squares (triangles) -- it was all full squares. Let's see if I can draw what I meant (ignore the dots):

[ ]...............[ ][ ][ ][ ][ ]
[ ][ ]...............[ ][ ][ ][ ]
[ ][ ][ ]...............[ ][ ][ ]
[ ][ ][ ][ ]...............[ ][ ]
[ ][ ][ ][ ][ ]...............[ ]

My original thought looks more like this:

...............[ ]
.............[ ][ ]
...........[ ][ ][ ]
.........[ ][ ][ ][ ]
.......[ ][ ][ ][ ][ ]

Twelve boxes around, three more inside (which could be eliminated I guess):

...............[ ]
.............[ ][ ]
...........[ ]...[ ]
.........[ ]......[ ]
.......[ ][ ][ ][ ][ ]

Anyway, I'm not sure what any of this gets us, I just wanted to clarify.

Matt

5. yea i understand too now .. i re-read your post and figured that was what you meant. the only reason i even chose right triangles as an emphasis was because of that odd 322 thing. and plus the way the tool page is screaming angles, and the way the border repeats on the bottom and left implicitly emphasizes the corner to me for some reason... one of the reasons i liked the idea of cutting squares in half is because it (sort of) allows for putting 'double' letters into the grid.. the overlapping ones, of course

6. Junior Twelever TwelevePlus
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This gets us 15 which is a number code we can work with. I'm not sure about leaving out the 25 boxes (triangles) as in my original triangle. I do think that we are working with a 25 letter alpha, and a 15 number code. Try and keep it simple.

7. Pentagon? anyone thought of a PENTAGON??

8. Originally Posted by precious1
Pentagon? anyone thought of a PENTAGON??
Anything in the book that suggests we should, besides that it has 5 sides?

9. Well I was thinking of the pentagram on the 'tools' page. A pentagram would fit inside a pentagon. Just something more to work on! My brain is being overtaxed!

10. Getting the hang of it. Copper
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It certainly could be a pentagon... or a hexagon (which interlocks better, like a honeycomb). I actually thought about a hexagon before a triangle. The only problem with these is the number of numbers (or letters) that would have to go in there. I'm not sure what this final "grid" will look like, but I do feel that at some point the size of the grid will become unwieldy.

Again, nothing really to add here. Until we know what to put in a grid, we're not anywhere anyway.

Matt