Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

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## #1 Re: Euler Avenue » Was mathematics invented or discovered? » 2014-08-21 14:38:02

Some concepts feel more invented than discovered. For example, semigroup feels more invented whereas group feels discovered. Quaternion feels invented whereas rotation matrix feels discovered. Or maybe it's just me who lacks understanding.

## #2 Re: Puzzles and Games » Cube it! » 2014-08-19 09:05:13

If I wanted to participate in this game but did not know the current position in the sequence, then I would have to use my calculator to find the cubic root of the latest post, add one, and cube it. But if I didn't have a calculator, I can still find the next number by looking at the past three postings and doing simple arithmetic. First I find the difference between the latest and the previous value. Then I multiply by three and add six. Finally, I add this to the second from the last number. This is the next value in sequence. Currently the last three numbers are 4330747, 4410944, and 4492125. Therefore the next would be (4492125-4410944)x3+6+4330747=4574296.