#### Woody1

quality posts: **29**
Private Messages
Not to outdo the nerd in you...It's a triangle. Triangles are assumed to be two-dimensional plane figures, unless the context provides otherwise. There are no upside-downs and right-side ups. If fact there is no thickness, depth or points in space (no pun intended) either. If anything you could argue length if you had been given a scale but the only thing you can say is that the measures of the interior angles of a triangle in Euclidean space always add up to 180 degrees.

Also your math is wrong. Example: row 2 has 4 triangles with points up and 2 with points down if the line segments touch. The triangle on row 1 grew by 1 level. If your argument is going to be that the line segments do not touch then there are no triangles with points down at all.

Squirrelhunter70 wrote:Broke down the t-shirt because I wanted to figure out the relationship between the number of triangles and how far down you are on the shirt.

The first row has 0 upside down, 1 rightside up triangles.

The second row has 2 upside down, 3 rightside up.

3rd has 6 upside down, 7 rightside up.

4th has 14 up, 15 down.

5th has 30 up, 31 down.

(0,1)

(2,3)

(6,7)

(14,15)

(30, 31)

Looks like powers of 2 to me. Add 2 to the first pair to get the second, add 4 to the second pair to get the 3rd, 8 to 3rd to get 4th, 16 to 4th to get the 5th.

Now I've fulfilled my nerd quota for the month and can go back to drinking beer and watching sports uninterrupted.

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