Part 1: Tiny Gecko Friend.
I noticed this guy sitting next to my office door this afternoon.
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So tiny. |
I tapped my foot next to him a few times, but there was no movement, so I assumed he was dead, and left it for the end of the day. I then got a few sheets of paper, and planned to scoop him up and fold up a tiny envelope shaped coffin.
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But then he started moving. |
I assume that tiny gecko friend was maybe just tired and hungry after being trapped in an office all weekend. A few minutes later:
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And a shake. Sorry to drop you, TGF, but you need to live outside. |
Still no major movement a few minutes after being shifted outside, so I dripped some water next to him, since I could at least help if he was thirsty.
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And before I left, I checked again, and TGF was no where to be seen. Have a happy life outside, TGF! |
Part 2: Trigonometry.
I have five colors of post-it notes, and I want to make a post-it-coaster. The first time I did this, I did it by eye, and it didn't work so well. Last time, I realized that I actually know math.
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The base post-it. |
Five post-its means I'm making a pentagon. The sum of interior angles of a polygon is 180 * (n-2) or 540. There are five such angles, so each one is 108. The excess from the 90 corner of a post it is 18. Converting this to radians tells us that q = pi/10, so tan(q) ~ 1/3 (due to small angle formula). The triangle formed from this has to meet the triangle from the opposite corner halfway across the base post-it (due to symmetry). This means that the intersection point is 1/6 the height of the post-it.
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Make a mark there. |
Now all the remaining post-its can be placed, keeping that angle in common.
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And you get a tiny corner that isn't totally correct, but it's close enough. |
Part 3: Links
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