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# flamebirde

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1. ## The answer should be plain to see

Incidentally, the title was a hint too: plain in color, and also plain -->plane, since a piece of paper is flat.
2. ## The answer should be plain to see

My intention was like this: As pure in shade as mother's blessing true, (so same color as milk) And yet in form I'm still possessing, too; (so not liquid... The other way the line could be taken would be about origami, but that was just a secondary thought) Partner both in math and drinking (math for math papers, drinking as in paper cups) I was born of man's quick thinking (because truth be told paper kinda blows my mind still)
3. ## The answer should be plain to see

Thalia: a solid guess, but no cigar. Hint #2:

A hint:
5. ## The answer should be plain to see

Nope. Look more at the first line: what's the "mother's blessing"? I think Molly understood that.
6. ## The answer should be plain to see

Nope. Bit more common than that.
7. ## The answer should be plain to see

As pure in shade as mother's blessing true, And yet in form I'm still possessing, too; Partner both in math and drinking I was born of man's quick thinking

9. ## I’m not a gardener

Something that should be odd, but in this case is even, which makes it a symbol of good luck. hmm...

#3: #1:

12. ## Random triangles in a circle

A thought: More thoughts:
13. ## I'm Back

I'm very much interested. I recognize the name, too! I expect great things, my friend.
14. ## Digging Probabilities

Very nice! Well done!
15. ## Digging Probabilities

Question 1: Questions 2 and 3 are correct! Followup question: What are the chances I get the health from the 14th dig versus the 15th dig? Do they differ significantly?
16. ## Digging Probabilities

So the other day I was watching a speedrun of the Legend of Zelda: Ocarina of Time (a speedrun is a playthrough of a game with the intent of beating the game as fast as possible). In one particular part of the game, the player is forced to follow around a gravedigger as he digs up various holes. There is one particular outcome that is desired (the "jackpot" of the game, essentially): a permanent health upgrade. There are also three undesirable outcomes that only give out money: a green rupee (the least valuable prize, pretty much \$1), a blue rupee (a fairly desirable prize, say about \$5), and
17. ## Jelly beans join the clean plate club

Especially when you consider as well that at any point you've got an extra plate either to transfer to or to transfer from (although that does complicate things a bit, it also ensures that pairs such as {4,8} are solvable).
18. ## Jelly beans join the clean plate club

But no matter what you'll always have at least one pair whose average is even. Try it: pick any three numbers such that the average of any two is odd. I'm fairly sure it's impossible, since between a+b, b+c, and a+c at least one is guaranteed to be even. Do you have another counterexample of two numbers whose average is even but can't be reached via doubling?
19. ## Jelly beans join the clean plate club

I think I've gotten closer.
20. ## Jelly beans join the clean plate club

Aw man, I was so confident I'd finally solved one of Bonanova's legendary puzzles. A start on thinking:
21. ## Largest unit sphere

Nice, thanks!

23. ## Largest unit sphere

Question: the process shown demonstrates a local maximum for the function, but is there a way to prove that (for instance) at n=1000 it doesn't suddenly reach a new maximum? (I guess what I'm trying to say is, is there a proof, or is the solution presented here just process of elimination?)

25. ## Whodunit?

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