Brijesh's profile

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Sat, Oct 10, 2020 4:34 PM

Live Poll: Fibonacci Sequence Titles

The Fibonacci sequence is a sequence of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1. Here are the movie titles with number of characters in words follows the sequence.

 

Minimum of 5,000 votes; IMDb rating of 6.5 or above.

 

Which movie do you think is unique like the sequence?

 

List: https://www.imdb.com/list/ls083871860/

Poll: https://www.imdb.com/poll/v7jOWuOj9U0/

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Il y a 2 y

I think I understand the idea, but it isn't completely obvious. Maybe you can add the numbers for each option.

 

I Am Sam - 1+2=3 etc.

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Added numbers.

cinephile

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Il y a 2 y

That is an intensely complex and odd idea for a poll.

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It is slightly odd I think. But, it isn't overly complex. Also, fibonacci is quite known sequence.

 

Perhaps, I could think of something that would make this more easy to understand. Please give suggestions, if you have any.

(edited)

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Thank you Thaal. I have expanded the options as per you suggestion. That was great, I didn't think of it that way initially.

I have added wikipedia link.

I am still thinking about next. ;) Btw, those are worthy candidates!!

(edited)

Champion

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I'm not sure about that. Doesn't it make more sense if the titles follow the sequence in the right order?

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Yes if we take a sequence as full then the order matters. But, technically it is right both way for the function. 

I could remove it, if it is confusing for the poll though.

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With emphasis on sequence, we could stick to the patterns "1 2 3", "2 3 5", "3 5 8", "1 2 3 5" and "2 3 5 8", along with perhaps the reverse of these.

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That is right being a sequence. Non-sequential options are out now. I considered for more number of words in the title (though there aren't any in the criteria). With that sequence, the different order wouldn't work inbright way.

Sorry Thaal - it was valid suggestion for given options, but doesn't work for the overall sequence.

Thanks Jeorj and Jessica.

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I'm always pleased to see subjects included among IMDb poll options when those subjects have never before been so included.

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Il y a 2 y

Hi, polls fans:

I know you guys do a fabulous job and the activity and number of committed people to this part of is great, but I'm not very fond of taking polls, sorry ... However, the title of this one caught my attention, and I couldn't resist checking how frequent the "Fibonacci titles" happen in the database and which ones are the longest.

The classic Fibonacci sequence starts from F(0)=0 and F(1)=1 and, as Thaal explained, subsequent numbers F(n) are obtained by adding the previous two numbers:

01(0+1) 1 → (1+1) 2 → (2+1) 3 → (3+2) 5 → (5+3) 8 → (8+5) 13 → (13+8) 21 → (21+13) 34...

We can extend this recursive procedure (Fibonacci-like sequences) to any other initial terms ("seeds") F(0) & F(1), thus, for instance...

F(0) F(1) Sequence: F(n)=F(n-1)+F(n-2)
0 1 0-1-1-2-3-5-8-13-21-34-55-89...
1 4 1-4-5-9-14-23-37-60-97-157...
2 5 2-5-7-12-19-31-50-81-131-212...

I've considered four types of "Fibonacci titles" (mutually exclusive):

  • "Pure": Word lengths directly follow the sequence in the right order.
    - e.g. [tt0361728] "I Am the Woman"1-2-3-5
    - e.g. [tt0862945] "Man Who Killed Desdemona"3-3-6-9
  • "Disjointed": Word lengths follow the sequence if rearranged in increasing order.
    - e.g. [tt1378260] "A Horse Is Not a Metaphor" ► 1-5-2-3-1-8 1-1-2-3-5-8
    - e.g. [tt0221124] "The Disappearance of Kathleen Waugh" ► 3-13-2-8-5 2-3-5-8-13

  • "Interleaved": Word lengths follow the sequence if consecutive repeating numbers are allowed.
    - e.g. [tt0056217] "The Man Who Shot Liberty Valance" ► 3-3-3-4-7-7 3-4-7
    - e.g. [tt2118564] "A Wish Your Heart Makes" ► 1-4-4-5-5 1-4-5

  • "Lenient": Word lengths follow the sequence if unique numbers (repetitions are ignored) are rearranged in increasing order.
    - e.g. [tt10056004] "Eye for an Eye, a Tooth for a Sweet Tooth"
                 
    ► 3-3-2-3-1-5-3-1-5-5 1-1-2-3-3-3-3-5-5-5 1-2-3-5
    - e.g. [tt12965406] "12 Messages Given to Padre Pio by Jesus About the End of the World"
                  ► 2-8-5-2-5-3-2-5-5-3-3-2-3-5 2-2-2-2-3-3-3-3-5-5-5-5-5-8 2-3-5-8

These are the results (as of 24 Oct 2020):

Original titles

7,281,233 original titles.

    31,601 PURE FIBONACCI TITLES

    • 5 words: 1 title / 4 words: 584 / 3 words: 31,016
• Longest: I... I... Yo... Mrs Chari! ► 1-1-2-3-5
  • Most frequent seeds:

    127,774 DISJOINTED FIBONACCI TITLES

    • 6 words: 14 titles / 5 words: 718 / 4 words: 13,580 / 3 words: 113,462
  • Longest: The 7 Weirdest Superstitions in Korea ► 3-1-8-13-2-5 1-2-3-5-8-13
   • Most frequent seeds:

    1,417 INTERLEAVED FIBONACCI TITLES

    • 7 words: 7 titles / 6 words: 42 / 5 words: 246 / 4 words: 1,122
  • Longest: Mars kann sich kaum gegen Charlotte behaupten ► 4-4-4-4-5-9-9 4-5-9
   • Most frequent seeds:

     45,739 LENIENT FIBONACCI TITLES

    • 16 words: 1 title / 15 words: 3 / 14 words: 4 / 13 words: 7 / 12 words: 18
  11 words: 51 / 10 words: 144 / 9 words: 393 / 8 words: 1,049 / 7 words: 2,568
  6 words: 6,402 / 5 words: 17,206 / 4 words: 17,893
  • Longest: I Am an Ox, I Am a Horse, I Am a Man, I Am a Woman
► 1-2-2-2-1-2-1-5-1-2-1-3-1-2-1-5 1-1-1-1-1-1-1-2-2-2-2-2-2-3-5-5 1-2-3-5
   • Most frequent seeds:

To my surprise, only one "Pure" Fibonacci title has more than 4 words, so I expanded the search to aka titles...

Alternative (AKA) titles

20,926,894 alternate titles (after excluding 2,452,043 verbatim duplicates).

    29,972 PURE FIBONACCI TITLES

    • 5 words: 3 titles / 4 words: 515 / 3 words: 29,454
  • Longest: És ne vigy minket kisértésbe! ► 2-2-4-6-10
    • Most frequent seeds:

    118,786 DISJOINTED FIBONACCI TITLES

    • 6 words: 17 titles / 5 words: 749 / 4 words: 12,836 / 3 words: 105,184
  • Longest: I Was a Prisoner in Korea ► 1-3-1-8-2-5 1-1-2-3-5-8
    • Most frequent seeds:
    1,091 INTERLEAVED FIBONACCI TITLES
    • 7 words: 7 titles / 6 words: 37 / 5 words: 186 / 4 words: 861
  • Longest: Sony Vaio Laptop 'Casino Royale' Television Commercial
► 4-4-6-6-6-10-10 4-6-10     • Most frequent seeds:
    33,966 LENIENT FIBONACCI TITLES
    • 15 words: 2 / 14 words: 3 / 13 words: 1 / 12 words: 11 / 11 words: 25
    10 words: 76 / 9 words: 257 / 8 words: 619 / 7 words: 1,742 / 6 words: 4,787
    5 words: 11,468 / 4 words: 14,975
  • Longest: A Painting Painting a Painter, A Painter Painting a Painter, A Painter
Painting a Painting ► 1-8-8-1-7-1-7-8-1-7-1-7-8-1-8 1-1-1-1-1-1-7-7-7-7-8-8-8-8-8 1-7-8
    • Most frequent seeds:

I know what I've just posted will be boring for many, but I hope some of you find it a bit interesting...

Cheers!!

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ljdoncel,

I found what you posted fascinating.

How can anyone be bored with a post that would qualify for an article in Encyclopedia Britannica?

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Thank you ljdoncel.

I am happy to know that this poll suggestion captured your attention!!

I am very fond of numbers and the information that you have shared is full of that. Thanks for sharing, it was great to know.

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Thank you very much, Dan (as always... ) and Brijesh!

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Hi, Thaal.

I'd love to know R and SQL, but I'm really just a traditional Excel user, used to simple standard formulas. I started to use SPSS because of the needs of my work (medical research) and I try to come up with little tricks to, either reordering, using intermediate variables or applying Excel-like formulas, get the results I want. Probably anyone with a minimum of programming knowledge who saw the syntax I wrote for the Fibonacci tiles (see below), would be scandalized by the turns I make to obtain results that could be extracted with just a couple of lines of commands, and would surely laugh at me, with good reason. But unfortunately those are the only resources I have, so I try to take advantage of them as best I can.

(edited)

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ljdoncel, I love this. 'Not at all boring. I'm a stats nerd and I can't get my head around how anyone wouldn't be. Thanks for posting. 

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Il y a 2 y

Cool idea! Yay, fun with math. : )

'Just and idea and it's completely up to you but I'm wondering if the question works better this way:

Which movie do you think is at least as unique as the sequence?

(I'm not crazy about my idea, though. I might just be too tired today to see a better alternative it but at least right now I feel like the English language prevents the perfect question for this poll -- and the poll is great. As idiosyncratic as the English language is, the limitations are probably with me, though.)

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You don't really need "at least" in there, do you?

Some would say that something is either unique or it isn't and that it is not in the mathematical spirit to say something is more unique or less unique.

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I thought something similar about "at least". So, I came up with this instead.

"Which movie do you think matches the uniqueness of the Fibonacci sequence?"

Is it better? I can use the suggestion without "at least" if you think that works better.

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I think it's fine.

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Brijesh,

I really like this poll idea.

I believe the introduction and question are now clearly written and understandable. I recommend one minor edit.
 

From:

Here are the movie titles where the number of characters in words follows the logic of sequence.

To:

Here are the movie titles where the number of characters in words follows the logic of this sequence.

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Corrected. Thanks.

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Brijesh,

Thanks for making the update.

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Il y a 2 y

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Thank you. :)

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You're a real strange mathmagician. Congratulations anyway. :D

Voted for 3+5=8! ;D

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Thank you and thanks for voting. :)

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Il y a 2 y

Neat idea. I hadn't seen all the films, so I said each one aloud to see which one sounded best. To me, it's The Usual Suspects.