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This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
On 07/04/23 22:06, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
The maths behind Penrose Tiles has been known for decades.
How is this different?
On Friday, April 7, 2023 at 10:07:03â¯PM UTC+10, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
Breitbart isn\'t the most reliable source. They do provide a link to the paper
https://arxiv.org/abs/2303.10798
but it has four authors - David Smith, Joseph Samuel Myers, Craig S. Kaplan, Chaim Goodman-Strauss.
New Scientist reports the story a little differently
https://www.newscientist.com/article/2365363-mathematicians-discover-shape-that-can-tile-a-wall-and-never-repeat/
David Smith may have found the shape, but it took expert help to prove that it was non-repeating.
--
Bill Sloman, Sydney
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
On Friday, April 7, 2023 at 8:07:03â¯AM UTC-4, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
We\'re going to see quite a lot of the age old conjectural quandaries start to crumble once AI becomes more pervasive. It\'s kinda sad to see something people of the past spent decades of their lives on be obliterated in a sub-millisecond flash by an AI machine. Actually not sad.
On Friday, April 7, 2023 at 8:28:40â¯AM UTC-4, Anthony William Sloman wrote:
On Friday, April 7, 2023 at 10:07:03â¯PM UTC+10, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
Breitbart isn\'t the most reliable source. They do provide a link to the paper
https://arxiv.org/abs/2303.10798
but it has four authors - David Smith, Joseph Samuel Myers, Craig S. Kaplan, Chaim Goodman-Strauss.
New Scientist reports the story a little differently
https://www.newscientist.com/article/2365363-mathematicians-discover-shape-that-can-tile-a-wall-and-never-repeat/
David Smith may have found the shape, but it took expert help to prove that it was non-repeating.
The Breitbart article seemed rather level- headed without a political agenda to it. I didn\'t know they were capable of it. Or it may have been a dig at the academic establishment, because it was an \"outsider\" with limited mathematical training who accomplished something, thought to be impossible by the establishment experts, using plain old \"common sense.\"
On Friday, April 7, 2023 at 11:33:26â¯PM UTC+10, Fred Bloggs wrote:
On Friday, April 7, 2023 at 8:28:40â¯AM UTC-4, Anthony William Sloman wrote:
On Friday, April 7, 2023 at 10:07:03â¯PM UTC+10, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
Breitbart isn\'t the most reliable source. They do provide a link to the paper
https://arxiv.org/abs/2303.10798
but it has four authors - David Smith, Joseph Samuel Myers, Craig S. Kaplan, Chaim Goodman-Strauss.
New Scientist reports the story a little differently
https://www.newscientist.com/article/2365363-mathematicians-discover-shape-that-can-tile-a-wall-and-never-repeat/
David Smith may have found the shape, but it took expert help to prove that it was non-repeating.
The Breitbart article seemed rather level- headed without a political agenda to it. I didn\'t know they were capable of it. Or it may have been a dig at the academic establishment, because it was an \"outsider\" with limited mathematical training who accomplished something, thought to be impossible by the establishment experts, using plain old \"common sense.\"
There\'s no suggestion that \"the establishment\" thought that it was \"impossible\",
It is a decidedly exotic problem, and you need appreciable mathematical sophistication to realise that the problem actually exists.
They ruined it when they quoted the Stanford professor ( of math ) who doesn\'t know squat about physics, chemistry, or \"other fields.\"
I can\'t see how.
--
Bill Sloman, Sydney
On Friday, April 7, 2023 at 10:38:15â¯AM UTC-4, Anthony William Sloman wrote:
On Friday, April 7, 2023 at 11:33:26â¯PM UTC+10, Fred Bloggs wrote:
On Friday, April 7, 2023 at 8:28:40â¯AM UTC-4, Anthony William Sloman wrote:
On Friday, April 7, 2023 at 10:07:03â¯PM UTC+10, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
Breitbart isn\'t the most reliable source. They do provide a link to the paper
https://arxiv.org/abs/2303.10798
but it has four authors - David Smith, Joseph Samuel Myers, Craig S.. Kaplan, Chaim Goodman-Strauss.
New Scientist reports the story a little differently
https://www.newscientist.com/article/2365363-mathematicians-discover-shape-that-can-tile-a-wall-and-never-repeat/
David Smith may have found the shape, but it took expert help to prove that it was non-repeating.
The Breitbart article seemed rather level- headed without a political agenda to it. I didn\'t know they were capable of it. Or it may have been a dig at the academic establishment, because it was an \"outsider\" with limited mathematical training who accomplished something, thought to be impossible by the establishment experts, using plain old \"common sense.\"
There\'s no suggestion that \"the establishment\" thought that it was \"impossible\".
Other articles say it was considered impossible.
and aperiodic tiling isn\'t the kind of problem that you can solve with plain old common sense.
Okay, but as proved in this case, it can be solved with a hunch.
It is a decidedly exotic problem, and you need appreciable mathematical sophistication to realise that the problem actually exists.
Mathematical sophistication yes, appreciable no. Graduate level abstract algebra is not appreciable.
They ruined it when they quoted the Stanford professor ( of math ) who doesn\'t know squat about physics, chemistry, or \"other fields.\"
I can\'t see how.
It\'s obviously a disingenuous appeal for funding abstract nonsense of no practical use.
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
On Friday, April 7, 2023 at 8:07:03â¯AM UTC-4, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
We\'re going to see quite a lot of the age old conjectural quandaries start to crumble once AI becomes more pervasive. It\'s kinda sad to see something people of the past spent decades of their lives on be obliterated in a sub-millisecond flash by an AI machine. Actually not sad.
On Friday, April 7, 2023 at 10:07:03â¯PM UTC+10, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
Breitbart isn\'t the most reliable source. They do provide a link to the paper
https://arxiv.org/abs/2303.10798
but it has four authors - David Smith, Joseph Samuel Myers, Craig S. Kaplan, Chaim Goodman-Strauss.
New Scientist reports the story a little differently
https://www.newscientist.com/article/2365363-mathematicians-discover-shape-that-can-tile-a-wall-and-never-repeat/
David Smith may have found the shape, but it took expert help to prove that it was non-repeating.
On Friday, April 7, 2023 at 8:07:03â¯AM UTC-4, Dean Hoffman wrote:
This article is about a geometry issue people have been working on
since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
We\'re going to see quite a lot of the age old conjectural quandaries
start to crumble once AI becomes more pervasive. It\'s kinda sad to
see something people of the past spent decades of their lives on be
obliterated in a sub-millisecond flash by an AI machine. Actually not
sad.
On 07/04/2023 14:41, Fred Bloggs wrote:
On Friday, April 7, 2023 at 8:07:03?AM UTC-4, Dean Hoffman wrote:
This article is about a geometry issue people have been working on
since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
We\'re going to see quite a lot of the age old conjectural quandaries
start to crumble once AI becomes more pervasive. It\'s kinda sad to
see something people of the past spent decades of their lives on be
obliterated in a sub-millisecond flash by an AI machine. Actually not
sad.
You are over optimistic about the timescales but in some domains where a
combination of brute force and deep learnable heuristics can triumph I
suspect several of the famous outstandingly difficult mathematical
challenges may fall to AI within the next decade (perhaps sooner).
Machines don\'t get bored or make trivial typo mistakes like we do.
I never expected to see a computer that could master Go and yet now
there are several that can bootstrap ab initio from the basic rules and
surpass the best human players in under a month.
Draughts turned out to be misleadingly simple. Chess was a tougher nut
to crack requiring initially dedicated parallel hardware (but now it is
hard to find a serious chess program that can\'t beat a human GM).
Go seemed to be intractable with so many possible moves and game states.
On Friday, April 7, 2023 at 8:07:03â¯AM UTC-4, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
We\'re going to see quite a lot of the age old conjectural quandaries start to crumble once AI becomes more pervasive. It\'s kinda sad to see something people of the past spent decades of their lives on be obliterated in a sub-millisecond flash by an AI machine. Actually not sad.
On Fri, 7 Apr 2023 21:10:26 +0100, Martin Brown
\'\'\'newspam\'\'\'@nonad.co.uk> wrote:
On 07/04/2023 14:41, Fred Bloggs wrote:
On Friday, April 7, 2023 at 8:07:03?AM UTC-4, Dean Hoffman wrote:
This article is about a geometry issue people have been working on
since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
We\'re going to see quite a lot of the age old conjectural quandaries
start to crumble once AI becomes more pervasive. It\'s kinda sad to
see something people of the past spent decades of their lives on be
obliterated in a sub-millisecond flash by an AI machine. Actually not
sad.
You are over optimistic about the timescales but in some domains where a
combination of brute force and deep learnable heuristics can triumph I
suspect several of the famous outstandingly difficult mathematical
challenges may fall to AI within the next decade (perhaps sooner).
Machines don\'t get bored or make trivial typo mistakes like we do.
I never expected to see a computer that could master Go and yet now
there are several that can bootstrap ab initio from the basic rules and
surpass the best human players in under a month.
Draughts turned out to be misleadingly simple. Chess was a tougher nut
to crack requiring initially dedicated parallel hardware (but now it is
hard to find a serious chess program that can\'t beat a human GM).
Go seemed to be intractable with so many possible moves and game states.
Automated circuit design has been tried. It will be interesting to see
if A\"I\" can do any.
On Fri, 7 Apr 2023 21:10:26 +0100, Martin Brown
\'\'\'newspam\'\'\'@nonad.co.uk> wrote:
On 07/04/2023 14:41, Fred Bloggs wrote:
On Friday, April 7, 2023 at 8:07:03?AM UTC-4, Dean Hoffman wrote:
This article is about a geometry issue people have been working on
since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
We\'re going to see quite a lot of the age old conjectural quandaries
start to crumble once AI becomes more pervasive. It\'s kinda sad to
see something people of the past spent decades of their lives on be
obliterated in a sub-millisecond flash by an AI machine. Actually not
sad.
You are over optimistic about the timescales but in some domains where a
combination of brute force and deep learnable heuristics can triumph I
suspect several of the famous outstandingly difficult mathematical
challenges may fall to AI within the next decade (perhaps sooner).
Machines don\'t get bored or make trivial typo mistakes like we do.
I never expected to see a computer that could master Go and yet now
there are several that can bootstrap ab initio from the basic rules and
surpass the best human players in under a month.
Draughts turned out to be misleadingly simple. Chess was a tougher nut
to crack requiring initially dedicated parallel hardware (but now it is
hard to find a serious chess program that can\'t beat a human GM).
Go seemed to be intractable with so many possible moves and game states.
Automated circuit design has been tried. It will be interesting to see
if A\"I\" can do any.
On Friday, April 7, 2023 at 4:32:37â¯PM UTC-4, John Larkin wrote:
On Fri, 7 Apr 2023 21:10:26 +0100, Martin Brown <\'\'\'newspam\'\'\'@nonad.co.uk> wrote:
On 07/04/2023 14:41, Fred Bloggs wrote:
On Friday, April 7, 2023 at 8:07:03?AM UTC-4, Dean Hoffman wrote:
Go seemed to be intractable with so many possible moves and game states.
Automated circuit design has been tried. It will be interesting to see
if A\"I\" can do any.
It will, and will do it the exact same way you design stuff.
On Friday, April 7, 2023 at 8:07:03â¯AM UTC-4, Dean Hoffman wrote:
This article is about a geometry issue people have been working on since the 1960s.
https://www.breitbart.com/science/2023/04/06/british-retiree-solved-decades-old-geometry-problem/
It\'s not an unattractive tile, or pattern. I wonder when they will be in production?