Fun facts!
- Twórca wątku Ass eating cunt
- Data rozpoczęcia
-
🔎 Please read my article, How to Dox Anyone: A Liz Fong-Jones Story. (Xitter), (Substack).
-
Want to keep track of this thread?
Accounts can bookmark posts, watch threads for updates, and jump back to where you stopped reading.
Create account
- Dołączono
- 28 Gru 2014
Seems to check out.
1+2+3+4+5=15 15^2 = 225
1^3 (1) + 2^3 (8) + 3^3 (27) + 4^3 (64) + 5^3 (125) = 225
Is this actually proven or is it just one of those conjectures where we just haven't found an exception?
(Apparently it's proven and called the Nichomachus theorem.)
Now prove the Collatz conjecture, smartass.
- Dołączono
- 24 Sie 2014
The first n numbers sum up to n(n+1)/2; the first n cubes sum up to the square of that, i.e. n²(n+1)²/4. Both formulas are easily proved by induction.
Bonus fact about the number 13
ELEVEN + TWO = TWELVE + ONE
Both sides of the equal sign are anagrams.
Ostatnio edytowane:
- Dołączono
- 28 Gru 2014
I always thought the Beatles song "Michelle" (a McCartney number) was an imitation of Serge Gainsbourg, but I was wrong. He actually wrote it pre-Beatles, and would sing it at parties to pick up chicks. It didn't even originally have French lyrics. He just sang vaguely French-sounding gibberish. The actual lyrics were added later. So the chronology is wrong for influence.
In fact, the reason a lot of Beatles songs sound like Serge Gainsbourg is not that they imitated him, but exactly the opposite. Even the name of the musical movement (one of many) he's considered a leader of, yé-yé, is actually directly taken from English lyrics of songs of bands like the Beatles: "She loves you yeah yeah yeah."
Paul even later wrote a song for Serge's daughter Charlotte. So there was influence there but it was in completely the other direction. So they don't sound like Serge so much because they imitated him. They sound like him because he imitated them.
In fact, the reason a lot of Beatles songs sound like Serge Gainsbourg is not that they imitated him, but exactly the opposite. Even the name of the musical movement (one of many) he's considered a leader of, yé-yé, is actually directly taken from English lyrics of songs of bands like the Beatles: "She loves you yeah yeah yeah."
Paul even later wrote a song for Serge's daughter Charlotte. So there was influence there but it was in completely the other direction. So they don't sound like Serge so much because they imitated him. They sound like him because he imitated them.
- Dołączono
- 24 Sty 2020
This still works, by the way. I specifically learned this song under the same motivation:
- Dołączono
- 28 Gru 2014
Fun fact if (A^x + B^y = C^z), where (A, B, C, x, y and (z) are all positive integers and the exponents (x, y,) and (z) are strictly greater than (2) (i.e., (x, y, z > 2)), then the bases (A, B,) and (C) must share a common prime factor.
Oh wait it isn't a fun fact though. It SEEMS like it HAS to be true, but nobody has been able to prove it.
In fact, the fun fact is that it remains unproven, although its proponent Andrew Beal, professional banker and amateur high stakes poker player and mathematician, has offered a million bucks to anyone who can prove it.
Oh wait it isn't a fun fact though. It SEEMS like it HAS to be true, but nobody has been able to prove it.
In fact, the fun fact is that it remains unproven, although its proponent Andrew Beal, professional banker and amateur high stakes poker player and mathematician, has offered a million bucks to anyone who can prove it.
- Dołączono
- 16 Mar 2025
I'm in a mood but it is not on any streaming services, so here's more than you've ever wanted to know about Dreamworks' Madgascar franchise!
The entire franchise is powered by luck. None of what people liked was in the original script. Penguins? Improvised during storyboarding. Julien? Sacha Baron Cohen made that entire character for them (and I don't mean he gave him the accent, I mean that character did not exist, Cohen made up an entire character and showed off several minutes of improv for a side lemur with two lines because that's just what he does with his free time I guess, Maurice was the ruler). I Like to Move It Move It? I was supposed to be an instrumental version of the existing song, then Cohen started singing. Viral Afro Circus song? Chris Rock improv when they just wanted him to hum the circus tune. Dreamworks managed to wring four movies, three TV shows, and fuck if I know how many holiday specials from this.
...or maybe the penguins were from a canceled Beatles parody movie. Dreamworks can't seem to make up their minds on their origin.
If there's one specific lucky person on staff it might be Tom McGrath, co-director and voice actor for the penguin leader. He did scratch audio (quick vocals for story boarding) when their actual choice for the role died. While all of them are Dreamworks employees, he is the only penguin to reprise the role in the TV show and also does every video game appearance. Not that he doesn't do a great job, but this man got a popular character role and a bunch of paychecks he otherwise wouldn't have because the guy they actually wanted kicked the bucket at exactly the right time.
Whether Madagascar ripped off the Wild or the Wild ripped off Madagascar is unclear. The Wild released second but claims to have started production first. The Wild however has no luck that gave it good side characters or viral music and thus has faded into obscurity.
While Tom McGrath is the only penguin to keep the role in both movies and shows, the other character that's kept the same voice actor is Mort, voiced by Andy Richtor, and who has kept that baby sounding role for three movies, a TV show that lasted three seasons, and then another TV show that lasted 6 seasons. This man did that voice for 12 years and it cannot be good for him. Physically or mentally.
When making the first one they wanted to visit Madagascar to do research but the island was in the middle of a civil war and not safe to travel to. McGrath comments in the Art of Dreamworks book that the country ended up with a self proclaimed leader, who he compares to King Julien, which is something that might come off as insensitive if anyone from Madagascar ever bothered to read the Art of Dreamworks.
This means they knew Madagascar is a populated island despite the plot being they all land on an unpopulated island.
In the second film they show the New York City skyline in the 90s, which prompted a discussion on if they should include the Twin Towers. Ultimately they did, as they felt it would be disrespectful to act like they never existed. Tom McGrath would go on to direct Megamind, where this poor man that's just trying to make wacky cartoons would once again need to think about terrorist attacks a lot to avoid the villain throwing around skyscrapers causing people to think of 9/11. So far as I know there were no discussions about terrorism when he directed Boss Baby but as the person making a fun facts post about Madagascar it is beneath me to look into the making of Boss Baby. I have standards.
The entire franchise is powered by luck. None of what people liked was in the original script. Penguins? Improvised during storyboarding. Julien? Sacha Baron Cohen made that entire character for them (and I don't mean he gave him the accent, I mean that character did not exist, Cohen made up an entire character and showed off several minutes of improv for a side lemur with two lines because that's just what he does with his free time I guess, Maurice was the ruler). I Like to Move It Move It? I was supposed to be an instrumental version of the existing song, then Cohen started singing. Viral Afro Circus song? Chris Rock improv when they just wanted him to hum the circus tune. Dreamworks managed to wring four movies, three TV shows, and fuck if I know how many holiday specials from this.
...or maybe the penguins were from a canceled Beatles parody movie. Dreamworks can't seem to make up their minds on their origin.
If there's one specific lucky person on staff it might be Tom McGrath, co-director and voice actor for the penguin leader. He did scratch audio (quick vocals for story boarding) when their actual choice for the role died. While all of them are Dreamworks employees, he is the only penguin to reprise the role in the TV show and also does every video game appearance. Not that he doesn't do a great job, but this man got a popular character role and a bunch of paychecks he otherwise wouldn't have because the guy they actually wanted kicked the bucket at exactly the right time.
Whether Madagascar ripped off the Wild or the Wild ripped off Madagascar is unclear. The Wild released second but claims to have started production first. The Wild however has no luck that gave it good side characters or viral music and thus has faded into obscurity.
While Tom McGrath is the only penguin to keep the role in both movies and shows, the other character that's kept the same voice actor is Mort, voiced by Andy Richtor, and who has kept that baby sounding role for three movies, a TV show that lasted three seasons, and then another TV show that lasted 6 seasons. This man did that voice for 12 years and it cannot be good for him. Physically or mentally.
When making the first one they wanted to visit Madagascar to do research but the island was in the middle of a civil war and not safe to travel to. McGrath comments in the Art of Dreamworks book that the country ended up with a self proclaimed leader, who he compares to King Julien, which is something that might come off as insensitive if anyone from Madagascar ever bothered to read the Art of Dreamworks.
This means they knew Madagascar is a populated island despite the plot being they all land on an unpopulated island.
In the second film they show the New York City skyline in the 90s, which prompted a discussion on if they should include the Twin Towers. Ultimately they did, as they felt it would be disrespectful to act like they never existed. Tom McGrath would go on to direct Megamind, where this poor man that's just trying to make wacky cartoons would once again need to think about terrorist attacks a lot to avoid the villain throwing around skyscrapers causing people to think of 9/11. So far as I know there were no discussions about terrorism when he directed Boss Baby but as the person making a fun facts post about Madagascar it is beneath me to look into the making of Boss Baby. I have standards.
Ostatnio edytowane:
- Dołączono
- 24 Sie 2014
Think of any 4-digit number in which not all digits are the same (i.e. no 6666) and the first digit is not zero. It is okay that some digits are identical. Let's say 4711.
1) Now arrange the digits in both descending and ascending order: 4711 becomes 7411 and 1147.
2) Then subtract the smaller number from the larger number.
7411-1147 = 6264.
3) Do likewise for the answer. For 6264 we have 6642 and 2466 and
6642-2466=4176
7641-1467=6174.
Whichever number you choose, you'll get to the fixed point 6174 in at most 7 steps. (6174 → 7641-1467=6174)
With a 3-digit number, the "fixed point" is 495, which you can reach in at most 6 steps.
There is, however, no fixed point for a 2-digit number. The procedure leads to the cycle 09→81→63→27→45→09
There is no fixed point for 5-digit numbers either; the numbers will get into one of the three cycles. For 6-digit numbers there are two fixed points (631764 and 549945) and one cycle. Seven-digits will enter the only eight-member cycle. For higher numbers of digits, the pattern is more complicated: there can be multiple fixed points and multiple cycles.
1) Now arrange the digits in both descending and ascending order: 4711 becomes 7411 and 1147.
2) Then subtract the smaller number from the larger number.
7411-1147 = 6264.
3) Do likewise for the answer. For 6264 we have 6642 and 2466 and
6642-2466=4176
7641-1467=6174.
Whichever number you choose, you'll get to the fixed point 6174 in at most 7 steps. (6174 → 7641-1467=6174)
With a 3-digit number, the "fixed point" is 495, which you can reach in at most 6 steps.
There is, however, no fixed point for a 2-digit number. The procedure leads to the cycle 09→81→63→27→45→09
There is no fixed point for 5-digit numbers either; the numbers will get into one of the three cycles. For 6-digit numbers there are two fixed points (631764 and 549945) and one cycle. Seven-digits will enter the only eight-member cycle. For higher numbers of digits, the pattern is more complicated: there can be multiple fixed points and multiple cycles.
Ostatnio edytowane:
- Dołączono
- 28 Gru 2014
Is this proven or is it just one of those conjectures we haven't found an exception for?
- Dołączono
- 24 Sie 2014
Proven, indeed this is known as the Kaprekar Routine. For a 4-digit number, there are actually very few test cases (30 of them) that one needs to consider.
From Exploring the Beauty of Fascinating Numbers by S. S. Grupta (2025), p.288.
And given there is only a limited number for any n-digit numbers, the patterns can easily be verified by computers.
Ostatnio edytowane:
- Dołączono
- 28 Gru 2014
I hadn't taken that into consideration. If there are only a finite number of candidates, it's pretty easy to eliminate them all. It's the statements about all numbers that can get intractable. Like this:
This is called Beal's conjecture after the banker, amateur mathematician and amateur (but very good) poker player who posed it, and he has put up a million dollar prize for proving it.
- Dołączono
- 19 Sty 2021
A lot less populated than it would have been if Queen Ranavalona I hadn’t killed half its people between 1829 and 1861, leaving it with a century of net-zero population growth.
Also one of its most interesting new industries is a series of French-owned sturgeon farms that are now producing caviar. But other than those facts, and the movie, it’s quite possibly one of the least interesting places on earth.