Blonk numbers and Center of the Cubieverse

[Stefan]

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Edit: Link to Cubieverse: http://stefan-pochmann.info/cubieverse/

You might've heard of Bacon numbers or Six Degrees of Kevin Bacon. The idea is to count how many movies someone is separated from Kevin Bacon. He himself is not separated at all, so his own Bacon number is 0. Actors appearing with him in movies have Bacon number 1, actors appearing in movies with those have Bacon number 2, and so on. The lower your Bacon number, the closer you are to Kevin.

I have now transferred the idea to cubing, the connections not made by appearing in the same movie but by appearing in the same WCA competition. But where do I start, who is the Kevin Bacon of cubing? Well, only one way to find out:

So my "Blonk number" is 1, because I participated in the 2005 world championship together with Michiel. Here's the distribution of Blonk numbers for all WCA members:

Blonk
number    People

   0          1   (this is [url=http://www.worldcubeassociation.org/results/p.php?i=2003BLON01]Michiel[/url] himself)
   1        201   (I'm one of these, woohoo!)
   2       5430
   3       3124
   4        332
 none        19   (the competitors of [url=http://www.worldcubeassociation.org/results/c.php?i=DubaiOpen2009]Dubai Open 2009[/url])

Average Blonk number: 2.39447623239437

Michiel only appeared in two competitions, though, WC2003 and WC2005. That is nice for the game, cause not too many people get a Blonk number of 1, but it also doesn't quite make him the "Center of the Cubieverse" (just like Kevin Bacon isn't really the Center of the Hollywood Universe). The WCA member with the smallest average distance to everyone else is... Lars Vandenbergh. No wonder, as he has competed in 67 competitions, more than anyone else.

Vandenbergh
number    People

   0          1   (this is Lars himself)
   1       1672   (I'm one of these, woohoo!)
   2       6836
   3        579
 none        19   (the competitors of [url=http://www.worldcubeassociation.org/results/c.php?i=DubaiOpen2009]Dubai Open 2009[/url])

Average Vandenbergh number: 1.87951144366197

And here are the top 10:

1.880: Lars Vandenbergh (67 competitions)
1.884: Bob Burton (59 competitions)
1.886: Arnaud van Galen (58 competitions)
1.903: Adam Zamora (52 competitions)
1.906: Shelley Chang (55 competitions)
1.910: Takao Hashimoto (43 competitions)
1.914: Anders Larsson (36 competitions)
1.915: Tyson Mao (43 competitions)
1.927: Timothy Sun (20 competitions)
1.933: Piti Pichedpan (only 9 competitions)

The bottom 10 (or rather 11):
4.210: Yang-Sung Ling (1 competition)
4.210: Joy Lin (1 competition)
4.210: Yung-An Chen (1 competition)
4.210: Yu-Hsiang Chan (1 competition)
4.210: Wei-Shu Lai (1 competition)
4.210: Fang-Chieh Yang (1 competition)
4.210: Tzu-Cheng Chen (1 competition)
4.210: Chih-Chieh Su (1 competition)
4.210: John Lin (1 competition)
4.210: Kai-Chieh Chan (1 competition)
4.210: Jizhen Ho (1 competition)
These are all competitors of the Chia-yi Pyraminx Competition 2009 except Tzu-Chun Chou, who connected this competition to the rest of us (except the Dubai Open 2009).

Note 1: These statistics are based on the WCA database as of early April 12, 2010. I don't intend to update this post, but I'm working on a page that updates automatically and that will also have more functionality.

Note 2: Erdős numbers are the same idea (how many scientific publications are you separated from famous mathematician Paul Erdős) and are older, but Bacon numbers seem to be more well-known and there's no single Paul Erdős of cubing. That's why I chose Bacon. Besides, who doesn't [thread=12681]love Bacon[/thread]? Btw, check out this nice comic.

 

[Lucas Garron]

Note 2: Erdős numbers are the same idea (how many scientific publications are you separated from famous mathematician Paul Erdős) and are older, but Bacon numbers seem to be more well-known and there's no single Paul Erdős of cubing.

But Erdős numbers are more classic!

Anyhow, I would really be in favor of van Bruchem numbers. If there's one guy in the center of cubing, it's Ron.

 

[Stefan]

You're just angry cause your Blonk number is 2

Ok, (van) Bruchem numbers:

Bruchem
number    People

   0          1   (this is Ron himself)
   1       1365   (I'm one of these, woohoo!)
   2       6876
   3        846
 none        19   (the competitors of Dubai Open 2009)

Average Bruchem number: 1.94267165492958

 

[robinkwant]

nice idea very interesting

 

[Escher]

You are so, so awesome

 

[jiggy]

Haha, excellent post! What's the deal with those 19 Dubai Open 2009 competitors though?

 

[Stefan]

That Dubai competition is completely separate from the rest. None of its participants ever participated in any other competition, so there's no connection to any other competitions and thus persons.

 

[jiggy]

But is that the only competition where this happened? What a strange anomaly!

 

[JBCM627]

But is that the only competition where this happened? What a strange anomaly!

Normally, the delegate has competed in a previous competition and competes in the competition they are delegating. Not the case with Dubai, who had a delegate from Seven Towns.

 

[Stefan]

Yes, that's the only one. That pyraminx competition came close, only connected to the rest of the world via a single competitor.

 

[MichaelP.]

If I understand correctly, my Bacon Number is 4. Me > Anthony > Tyson > Blonk.

 

[Bryan]

If I understand correctly, my Bacon Number is 4. Me > Anthony > Tyson > Blonk.

You > Casey Pernsteiner > Blonk

 

[cincyaviation]

how do we find out our numbers?

 

[Vincents]

Look for familiar names...

I think I'm usually a 2, because everyone at US Nats 09 connects me to most of the world =)

 

[Stefan]

If I understand correctly, my Bacon Number is 4. Me > Anthony > Tyson > Blonk.

I doubt you have a Bacon number. Your Blonk number is 2, like Bryan said.

how do we find out our numbers?

Browse the database making guesses, download the WCA database export and analyse it with a program, or wait until I'm finished with my page

 

[scotzbhoy]

My Blonk number is 2, via Dan Harris. My Vandenbergh number is 1 and my (van) Bruchem number is 2, via quite a few people.

 

[MichaelP.]

If I understand correctly, my Blonk Number is 4. Me > Anthony > Tyson > Blonk.

You > Casey Pernsteiner > Blonk

Thank you Casey!

 

[Deleted member 4527]

Yay my Blonk number is 2 via Dave Campbell

This is such an interesting idea, can't wait till your website finishes.

 

[Tyson]

If I understand correctly, my Bacon Number is 4. Me > Anthony > Tyson > Blonk.

I doubt you have a Bacon number. Your Blonk number is 2, like Bryan said.

how do we find out our numbers?

Browse the database making guesses, download the WCA database export and analyse it with a program, or wait until I'm finished with my page

I have a Bacon number

Due to a mistake on IMDB.

 

[Forte]

Me > Justin Jaffray

JJ number = 1