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| Monolithic Center Nakade Eyes of Size Greater than 7? http://www.lifein19x19.com/viewtopic.php?f=15&t=4711 |
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| Author: | RobertJasiek [ Fri Sep 23, 2011 10:51 am ] |
| Post subject: | Monolithic Center Nakade Eyes of Size Greater than 7? |
It is generally assumed to be a truth that monolithic center nakade eyes of size greater than 7 do not exist. Has this been proven?! |
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| Author: | hyperpape [ Fri Sep 23, 2011 11:03 am ] |
| Post subject: | Re: Monolithic Center Nakade Eyes of Size Greater than 7? |
What does monolithic mean? Those formed by string connected groups, surely, but what else? |
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| Author: | jts [ Fri Sep 23, 2011 1:31 pm ] |
| Post subject: | Re: Monolithic Center Nakade Eyes of Size Greater than 7? |
It would have to be a proof for larger than 10 (unless "monolithic" means something technical) |
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| Author: | daniel_the_smith [ Fri Sep 23, 2011 1:51 pm ] |
| Post subject: | Re: Monolithic Center Nakade Eyes of Size Greater than 7? |
| Author: | hyperpape [ Fri Sep 23, 2011 2:09 pm ] |
| Post subject: | Re: Monolithic Center Nakade Eyes of Size Greater than 7? |
I'm sure monolithic places some kind of restrictions, both because it's Robert, and because it's very common knowledge that seven spaces isn't enough if you have cutting points or ataris in place. I'm betting it will require a somewhat ugly case analysis to prove. |
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| Author: | RobertJasiek [ Fri Sep 23, 2011 10:53 pm ] |
| Post subject: | Re: Monolithic Center Nakade Eyes of Size Greater than 7? |
In "A library of eyes in Go, II: Monolithic eyes" at http://www.brocku.ca/mathematics-scienc ... ications#3 Thomas Wolf has introduced the term monolithic for "adjacent to only one [surrounding] string". Now Erik van der Werf has provided a sketch of a proof in <a37bb$4e7d13b4$d4bb4c13$17898@news.chello.nl> at https://groups.google.com/group/rec.gam ... dab1e3e4d0 with just a minor editing typo of one empty shape. |
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