The Shape of the Universe ?
Posted by: Don Atkinson on 01 April 2009
The Shape of the Universe ?
Did anybody else find Alan Davies' "Horizon" programme last night interesting?
A nice illustration of Euclid's proof that there is an infinite number of Primes
OK, they covered the Monty Hall probability question on the way, but we covered that on this forum about 4 years ago in the "Brain Teaser No 1" thread. Kudos!
The concept of a fourth dimension (not time) was nicely potrayed and nicely illustrated with La Defence on the outskirts of Paris.
But the clincher for me, was the mention of the Seven Millenium Problems in Mathematics - with a £1m prize for each one solved. Especially the "What is the shape of the Universe?" question........which somebody thinks he is close to solving!! - concise answers only, please!
Cheers
Don
Did anybody else find Alan Davies' "Horizon" programme last night interesting?
A nice illustration of Euclid's proof that there is an infinite number of Primes
OK, they covered the Monty Hall probability question on the way, but we covered that on this forum about 4 years ago in the "Brain Teaser No 1" thread. Kudos!
The concept of a fourth dimension (not time) was nicely potrayed and nicely illustrated with La Defence on the outskirts of Paris.
But the clincher for me, was the mention of the Seven Millenium Problems in Mathematics - with a £1m prize for each one solved. Especially the "What is the shape of the Universe?" question........which somebody thinks he is close to solving!! - concise answers only, please!
Cheers
Don
Posted on: 01 April 2009 by rodwsmith
It's Lamborghini Countach-shaped, of course.
Posted on: 01 April 2009 by mjamrob
quote:Especially the "What is the shape of the Universe?" question........which somebody thinks he is close to solving!! - concise answers only, please!
round - where to I collect the prize money?
regards,
mat
ps if they really want to get technical then 'spherical'

Posted on: 01 April 2009 by manicatel
If the universe has a shape, ie defined by outer limits, then what's on the outside of the universe?
Matt.
Matt.
Posted on: 01 April 2009 by BigH47
Doughtnut (Ring) shaped.
Everything else of course.
quote:If the universe has a shape, ie defined by outer limits, then what's on the outside of the universe?
Matt.
Everything else of course.
Posted on: 01 April 2009 by JamieWednesday
If the universe is a doughnut, I would like to be on the outside of it...
Posted on: 01 April 2009 by BigH47
quote:Doughtnut (Ring) shaped.
I am obviously a genius as I hadn't watched the programme when I made the comment.
Posted on: 01 April 2009 by Mat Cork
quote:Originally posted by JamieWednesday:
If the universe is a doughnut...
...how big is the copper with the big mug of tea eyeing it up in the cafe.
Posted on: 01 April 2009 by Mark Dunn
It started off fairly uniformly spherical, but it seems to have gone pear shaped as I got older.
Best Regards.
Mark Dunn
Best Regards.
Mark Dunn
Posted on: 02 April 2009 by Ewan Aye
The shape of the universe depends on firstly identifying what you consider to be a boundary, or where something stops, and then deciding whether that boundary is visual - the extent that light can travel, or if any waves at all at any spectrum can travel outside of - so deciding on what you call a "wall" might be cause for further argument. Also, we view it from the inside and generally regard a "shape" as being a view from outside, and we don't know what attachments there might be to the outside.
There was one theory that the universe was cylindrical, and with attachments, I think it probably looks like a big cock & balls. If it was my creation, that's what I'd do - mainly because I'm pathetic and immature.
The kid that drew that knob on the roof of his parents house was actually making a sign for alien intelligence to illustrate that we are advanced enough to know the shape of the universe. He's a clever kid, that one. Obviously a budding astronomer. Erich von Däniken should be all over it
There was one theory that the universe was cylindrical, and with attachments, I think it probably looks like a big cock & balls. If it was my creation, that's what I'd do - mainly because I'm pathetic and immature.

The kid that drew that knob on the roof of his parents house was actually making a sign for alien intelligence to illustrate that we are advanced enough to know the shape of the universe. He's a clever kid, that one. Obviously a budding astronomer. Erich von Däniken should be all over it
Posted on: 02 April 2009 by Bob McC
Erich von Däniken would say it was a landing strip.
Posted on: 02 April 2009 by mjamrob
quote:If the universe has a shape, ie defined by outer limits, then what's on the outside of the universe?
Matt.
nothing

Posted on: 02 April 2009 by Don Atkinson
So, nobody else saw the programme?
Any one recal how Euclid proved there is an infinite number of Primes?
Cheers
Don
Any one recal how Euclid proved there is an infinite number of Primes?
Cheers
Don
Posted on: 02 April 2009 by BigH47
Posted on: 03 April 2009 by Don Atkinson
quote:It some how seemed easier on the programme.
Agreed. In fact, to my mind, everything seemed easier (and believable) on the programme.
I think the programme glossed over one or two of the rigorous details of proof...............
Cheers
Don
Posted on: 03 April 2009 by Paul Ranson
quote:Any one recal how Euclid proved there is an infinite number of Primes?
Assume there are a finite number of primes, multiply them all together, add one. The result is not divisible by any of your original set of primes because of the 'remainder 1', so it must either be a new prime or divisible by a prime not in your list. So the assumption of a finite number of primes is shown to be false.
I think. I could check it out, but where's the fun in that?
Paul
Posted on: 03 April 2009 by Don Atkinson
quote:I could check it out, but where's the fun in that?
No need Paul. What you wrote above, is effectively the same as Horizon's explanation. Pure and simple.
Cheers
Don
Posted on: 03 April 2009 by Don Atkinson
Monty Hall's game (two goats or a car) always ammuses me.
I take great delight with "Decision-making Directors" who are incapable of ever changing their minds having once made a "decision"....prats. I usually suggest they should consult an expert before making a decision. This suggestion also seems to cause some of them another wave of pain.
Cheers
Don
I take great delight with "Decision-making Directors" who are incapable of ever changing their minds having once made a "decision"....prats. I usually suggest they should consult an expert before making a decision. This suggestion also seems to cause some of them another wave of pain.
Cheers
Don
Posted on: 03 April 2009 by BigH47
quote:Originally posted by Paul Ranson:quote:Any one recal how Euclid proved there is an infinite number of Primes?
Assume there are a finite number of primes, multiply them all together, add one. The result is not divisible by any of your original set of primes because of the 'remainder 1', so it must either be a new prime or divisible by a prime not in your list. So the assumption of a finite number of primes is shown to be false.
I think. I could check it out, but where's the fun in that?
Paul
That was it, why didn't that link I posted say that?
Posted on: 03 April 2009 by winkyincanada
It did. But in a very obscure way. Great clarification, Paul. Only with your "plain english" explanation could I make any sense of the more formal proof.
Posted on: 04 April 2009 by Don Atkinson
So, just for the "fun" of it, who can recall Monty Hall's game and who can recall the best strategy for winning the car, and who can provide the proof for that strategy?
Cheers
Don
Cheers
Don
Posted on: 05 April 2009 by Absolute
quote:Originally posted by Don Atkinson:
So, just for the "fun" of it, who can recall Monty Hall's game and who can recall the best strategy for winning the car, and who can provide the proof for that strategy?
Cheers
Don
Ok, so let say you have three cups. Under two cups is a 1p under the third cup is a voucher for a CD555 and accompanying PS.

The cups are placed, and jumbled up. Before your first pick, the chances of you picking the Naim Voucher is 1/3.
A cup is uncovered (obviously assuming the cup uncovered reveals a 1p). By changing your choice, you increase the odds of you picking the Naim voucher to 2/3 due to the reduced number of overall options.
I can't remember if they mentioned it in the Horizon episode, but there are obviously a few assumptions made so as to look at the problem from an external perspective.
Also, the shape of the '4D square' looks even better animated.

Posted on: 05 April 2009 by Don Atkinson
quote:Before your first pick, the chances of you picking the Naim Voucher is 1/3.
Given the rules of the game, right from the start your chance of winning the star prize is 2/3.
Cheers
Don
PS I like the animated 2 x dimensional representation of a 4 x dimensional object/volume