Slip from summer into fall. Then winter brings us cold, white days, But spring, that wonder of it all, Leads back to summer anyway.
Linked to Cosmic Photo Prompt where Dale offers the theme of “as summer fades”.
Also linked to Trent P. McDonald’s The Weekly Smile. It was raining this past week and so I worked on a puzzle in computational number theory. The challenge was to verify the 3x+1 trajectory-length records by running a different program to find them. Using Python my best time for integers under 670,617,280 had been over 700 seconds. Last week I was able to reduce that to 352 seconds. That made me smile. If I believe what others have achieved, they can do it in under a few seconds. That’s my goal unless it stops raining. Even if I get it below 10 seconds, it is about as significant as solving a 1000-piece jig-saw puzzle, but at least I will be able to verify the larger records that have been found.



Lovely poem, Frank. I like the structural look of those seed heads, too.
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Thank you, Dale!
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I like it! And the thought of spring and summer is the only thing that gets me thru winter. Well that and Christmas!
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Christmas is a good reason to look forward to winter. Thank you!
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My degree is Mathematics and I have worked as a programmer in the past, but I haven’t tried anything like that before. It might be a good puzzle to play with… I like the photos and poem, though to me it all comes around to Autumn again – that’s my favorite 😉
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My degree is in Mathematics also which is what draws me back to these kinds of problems. Someone a year ago introduced me to the 3x+1 conjecture that all positive integers iterate to 1 and then I found a list of records and then I wondered how do they know those actually are the correct records. That led to the puzzle. Thanks, Trent!
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I ran the trajectory of 1 pinksock + 1 pinksock, myself. Unfortunately, that program is still running…
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🙂 Here’s my algorithm for socks. I keep only white or black socks in the drawer. I grab whatever’s available (of the same color). If I can’t find any then that’s a sign I should do the laundry. However, sometimes I don’t want to. Then the program just keeps running. Thank you, Chel!
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If I only lived with me, this algorithm would work. Unfortunately, I have six other variables. 🙂
Have fun getting your time down!
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More variables add to the complexity. I tried beating my record today with a bright idea that turned out to be not bright enough.
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Darn. Sounds like more wattage is needed.
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🙂
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After the summer we’e had, I welcome the signs of fall.
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Me, too. Maybe when we wake up next spring things will be better. Thank you, Dan!
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Oh my goodness, Frank, you’ve gone way over my head–as I was never a fan of Math! But I’m duly impressed, as you likened it to doing a 1000-piece puzzle…I can relate to that as I’m a huge fan of jigsaw puzzles!! And as always, I love your poetry 🙂 Blessings on your week!
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I have done some 1000-piece puzzles. That is what this programming exercise feels like. Thank you!
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The big ones (1000-piece) are a challenge I enjoy–500-piece ones I can do in 2 nights 🙂 I salute you, regarding the programming exercise!!
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Thank you! We’ve done a few 1000-piece puzzles as a family. After a while puzzle pieces seem to come alive in one’s mind.
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They really do! I can get totally immersed in a puzzle…it’s a good addiction 🙂 But my collection has overrun my small apartment…I should give some to charities 🙂
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I have mixed feelings about this summer ending. In many ways I am glad to see the summer of 2020 go, the sooner we move ahead the better, so much not fun stuff going on. On the other hand, I realize I’m wishing my life away which is never good. Regardless, your poem was great, spring is just around a corner somewhere, right?
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Spring will come. Thank you, Dawn!
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Summer
Fading
Falling
In To
Winter
Shine
SPRinG RiSinG
ALWaYS SuMMeR WiTHiN
FLoWeRinG MoRE FoR ReaL..:)
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Thank you, Fred!
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