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

1. Junior Twelever TwelevePlus
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## As Long as it is wide could be a triangle.

A box can be any shape you want it to be...Perhaps it is a triangle. He did not say it was a square box, just a box as long as it was wide.

2. Needs to say Hello!
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## triangle

Possibly.....

However - In order for a triangle to be as long as it is wide, it would have to be an equilateral triangle (all three sides the same length, all three angles the same size). Even if that were so, the very nature of a triangle would not allow it to be as "long as it is wide" simply because the width of a triangle varies depending upon which part of the triangle you look at.
The triangle (if equilateral) would have a narrow portion where two sides met and then a wider portion on the opposite end, thus making it very difficult to have it as long as it is wide... Does that make sense?

3. Junior Twelever TwelevePlus
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No it does not make sense, you are wanting to work with 4 equal sides and we are working with 3 equal sides. If we work with a triangle then we have 5 boxes to each side then we are 3x5=15. This is the exact number he has on Page 2, which is a code. A box that is a long as it is wide, is like saying as building is as tall as it is wide, like a pyramid.

4. Getting the hang of it. Copper
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Cartoonman... the triangle could not be equilateral if it were to be as long as it is wide. If you picture an equilateral triangle with the base on the bottom, the base (width) would be naturally longer than the line descending from the top vertice to the base (height).

So, for it to be as long as it is high, its sides would have to be longer than its base.

Either way, I don't think any of this restricts us from the possibility that it could be a triangle. The triangle concept is one I've been thinking about... I kinda fingured that the 5x5 square (though probably correct) was just given away a little too easily. And the poem seems to specifically avoid calling it a square (but then again this could simply be because of the letter Q issues...)

Matt

5. Junior Twelever Copper
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Gam, are you perhaps confusing (length) and (width) with "sides"?

A triangle can never be as long as it is wide.
A triangle can have equal sides.

So, on the one hand, you are correct that a puzzle with "five boxes to a side" could indeed be a triangle, but on the other hand, you are not correct that a triangle can be as long as it is wide.

the analogy you made to a building's height is not totally correct. I could have a very skinny pyramid...so it's height and width would not be equal. However, with a square, a figure whose length and width are equal will have its height equal to its width.

hope that helps you.

6. Junior Twelever TwelevePlus
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Thanks, but I really did not need that much help..Lets just make this real simple, you do not need to know anything other that the lenght of the triangle, bottom to top is the same as the lenght of the triangle left to right. Which gives us long..top to bottom and wide... left to right. Why do you people want to make everything so complex. The triangle makes more sense than a box with 25 square's and a missing Q. What on earth have you done with that.

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## triangle

mxb,

I think I see what you are trying to say about the triangle...However, if an equilateral triangle has ALL three sides the same Length, then the base cannot be a different length than either of the two other sides. (Hence, EQUILateral = EQUAL) Also, in regards to having five boxes to a side to equal fifteen, you would not necessarily be able to fill up that triangle with 15 boxes simply because there is not an even amount of space for each box. Whereas, with a square, there is an even amount of space for boxes to fit exactly inside. Thus, either if in a triangle the boxes are all different sizes and shapes, or they would be in a square.

8. Junior Twelever TwelevePlus
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Man, you all are driving me crazy, the little boxes inside can be triangles also, they do not have to be square. Get yourself a piece of paper and draw a triangle that is 15"x15"x15" now draw yourselves little triangle boxes that are 3"x3"x3" inside the the big triangle and you will get 5 to a side and they will all be the same size.

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## SO WHAT?

what's the difference if it's a triange, square, or dodecahedron?

you can play "what if" all day. unless you tie it to something, it's no help.

10. Junior Twelever TwelevePlus
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I tied it to 15 and 25 which is a lot more helpful, since the code in the front of the book is 15 numbers.