I noticed something while looking at the timed rankings: My top three times for each size are all relatively similar in their range, despite the times being shorter (for 4x4s) or longer (6x6s). Here's what I found with my own times.
4x4 (4.542, 5.554, 5.892)
Gap from 1 - 3: 1.35 s
Factor from 1 to 3: ~1.297
Largest gap: 1.012 s (1-2)
5x5 (17.319, 17.61, 17.646)
Gap from 1 - 3: .327 s
Factor from 1 to 3: ~1.018
Largest gap: 0.291 s (1-2)
6x6 (36.591, 37.506, 37.835)
Gap from 1 - 3: 1.244 s
Factor from 1 to 3: ~1.034
Largest gap: 0.915 s (1-2)
Findings:
- I am far more consistent with 5x5 and 6x6 puzzles than 4x4s, shown by the 30% increase from my best 4x4 time to my third best.
- I am very consistent through my top 3 in 5x5 puzzles, differing by less than 1/3 second from 1 to 3.
- The best time overall seems to be a surprise, resulting in a larger gap between 1st and 2nd in all cases.
Now I'm going to stop spouting random facts now. What are your random facts?