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Amazing Mathematical Curiosity

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Re: Amazing Mathematical Curiosity

Unread postby NEOPO » Thu 15 Feb 2007, 11:10:09

Considering the overwhelming mathematical possibilty of advanced intelligent alien lifeforms I would say it is simply arrogance for humans to imagine that they have ever had an "original" thought or have ever actually "discovered" or "invented" anything....

Back into your holes worms!!! 8)
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Re: Amazing Mathematical Curiosity

Unread postby jboogy » Fri 23 Feb 2007, 15:32:56

mathematical epiphany? awright here goes; in either the third or fourth grade I remember I was the last one to memorize the times tables 1thru 9 , felt a small sense of accomplishment , mathematically it's been downhill ever since, math might as well be a chinese cypher to me.
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Re: Amazing Mathematical Curiosity

Unread postby TheDude » Fri 23 Feb 2007, 16:56:44

$this->bbcode_second_pass_quote('MD', 'A')n early mathematical epiphany of mine occured when I was bouncing a ball and realized that "hey, if it rebounds to a fraction of it's height each time, then it should bounce forever". I then spent quite a while counting bounces. The "superballs" were the best. The original black ones that came in various sizes were my favorites.

To this day I'd like to try it in a vacuum with various materials. I bet you could get bounce counts in the thousands. The tail-off curves would be immensely interesting, I'm sure.

Surely some school science class has done this . . . time for a quick google.


Look up Zeno's arrow. I'd shoot you with one but it'd never arrive...

Math...is...hard...

Image

PMS, let me know when Michael Savage Weiner will explain all of this for us.
Read about this today: Advanced geometry of Islamic art. They were seriously puffing on their hookahs, man.
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Re: Amazing Mathematical Curiosity

Unread postby PenultimateManStanding » Fri 23 Feb 2007, 20:22:10

$this->bbcode_second_pass_quote('TheDude', '
')
PMS, let me know when Michael Savage Weiner will explain all of this for us.
lol, I have no idea what he is up to any more. I listen to Hugh Hewitt or NPR when driving home, unless I'm listening to music. Got tired of Weiner doing the exact same show every day.
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Re: Amazing Mathematical Curiosity

Unread postby PenultimateManStanding » Fri 23 Feb 2007, 22:09:48

$this->bbcode_second_pass_quote('cynicalheretic', 'D')ude, seriously, go smoke some damn weed.
I still get a kick out of this post! :lol: but seriously, I'm disappointed that none of our mathematically astute posters had anything to say about this. Here's my guess: They're stumped. Mathematics training just isn't geometrical anymore. It's all numerical, algorithmic, computerized, etc. The true grandeur and mystery of it has been lost.
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Re: Amazing Mathematical Curiosity

Unread postby kestrel91316 » Fri 23 Feb 2007, 22:28:42

$this->bbcode_second_pass_quote('PenultimateManStanding', '')$this->bbcode_second_pass_quote('cynicalheretic', 'D')ude, seriously, go smoke some damn weed.
I still get a kick out of this post! :lol: but seriously, I'm disappointed that none of our mathematically astute posters had anything to say about this. Here's my guess: They're stumped. Mathematics training just isn't geometrical anymore. It's all numerical, algorithmic, computerized, etc. The true grandeur and mystery of it has been lost.


Hey, PMS - geometry was my FAVORITE part of math. Back in Jr High. 35 years ago.

Not very useful in my career, however. I'm a veterinarian. I fix kitty booboos.
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Re: Amazing Mathematical Curiosity

Unread postby PenultimateManStanding » Fri 23 Feb 2007, 23:00:35

$this->bbcode_second_pass_quote('kestrel91316', '
')
Hey, PMS - geometry was my FAVORITE part of math. Back in Jr High. 35 years ago.
It's funny somehow. I used to get stoned a lot in high school. I would smoke grass and do my Geometry homework. My friends were saying, "why are you doing this?" and I would say, "because it's interesting".
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Re: Amazing Mathematical Curiosity

Unread postby shakespear1 » Mon 26 Feb 2007, 12:21:37

Geometry is problem solving and use of logical reasoning. I agree, good fun.

I wonder if they still have Debate Clubs in schools? Critical thinking is a skill one needs to learn.
Men argue, nature acts !
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Re: Amazing Mathematical Curiosity

Unread postby strider3700 » Mon 26 Feb 2007, 13:34:16

$this->bbcode_second_pass_quote('jboogy', 'm')athematical epiphany? awright here goes; in either the third or fourth grade I remember I was the last one to memorize the times tables 1thru 9 , felt a small sense of accomplishment , mathematically it's been downhill ever since, math might as well be a chinese cypher to me.


My first mathematical epiphany was back in grade 3 with the times tables as well. I was sitting there lagging behind the class wondering what the hell this table of numbers had to do with what time it was. Had they just called it a multiplication table and explained what it was I'd have been fine.

I don't blame the math, I blame the english language being used to explain math.
shame on us, doomed from the start
god have mercy on our dirty little hearts
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Re: Amazing Mathematical Curiosity

Unread postby TheDude » Mon 26 Feb 2007, 13:54:16

$this->bbcode_second_pass_quote('strider3700', 'I') don't blame the math, I blame the english language being used to explain math.


That sounds like a half-remembered pithy comment from Shaw or Wilde...
I loved Algebra and Geometry and analyzing/taking apart formulas, finding unconventional ways to get the results - none of that translated into good grades though.
I had a great uncle who was a classmate of Linus Pauling's in college, who was a wiz at math - once he sorted out his own method of solving problems. Might be a recessive gene.
strider, your story makes me think of one about a tin whistle player from Ireland, who was going to school in the 1920s. A tin whistle is a simple flute-like thing, played like a recorder. Six holes in it. The teacher was asking this fellow how many notes are in the scale, after drawing the twelve chromatic notes of a scale on the blackboard. "Six!" He replied, since there's six holes in the whistle...
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Re: Amazing Mathematical Curiosity

Unread postby FourOfSwords » Mon 26 Feb 2007, 13:58:20

I don't know. Outside of his theory of the transmigration of the soul et al, I'm not too impressed with Pythagoras and susequent Pythagoreans reducing the world to mathematical equivalents. I'm not too sure this 'western worldview' has not gotten us into the jam we're in right now. Mind you this is comng from someone who rather admires the worldview of Diogenes of Sinope! ;)
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Re: Amazing Mathematical Curiosity

Unread postby PenultimateManStanding » Mon 26 Feb 2007, 22:20:06

$this->bbcode_second_pass_quote('FourOfSwords', 'I') don't know. Outside of his theory of the transmigration of the soul et al, I'm not too impressed with Pythagoras and susequent Pythagoreans reducing the world to mathematical equivalents. I'm not too sure this 'western worldview' has not gotten us into the jam we're in right now. Mind you this is comng from someone who rather admires the worldview of Diogenes of Sinope! ;)
I heard he was quite a cynic.


I see nobody has anything to say about those curious inverse relationships regarding pi and lunes (see opening remarks). Bummer. I know there are more mathematically gifted people than I here. Being rather limited in my skills of figuring this all out, I guess I'll never know. I have dreams at night sometimes where mysterious geometrical things are revealed to me and I can never remember them in the morning. It's enticing to the mind and I can understand why some people would devote their lives to this sort of stuff. Once when I was learning the Rubic's Cube I fell asleep thinking about it and woke up still thinking about it 8 hours later.
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Re: Amazing Mathematical Curiosity

Unread postby JustWatch » Wed 28 Feb 2007, 12:02:38

Hi Penultimate,
The math is great, wish I could keep up with you on it! But even though I can’t, I do think there is something “magical” about it, even if that’s the only word I can think of to describe it. I’m sure you’ll find someone who can keep up with you.
The circle is such a wonder. It reminds me of sitting on a shoreline, and listening and watching the waves gently lap against the shore. (Ok, so maybe I’m smoking some wild herb too!)
I believe you know the answers you are looking for. Just sit on a shoreline without doing any thinking at all, and they will come to you!

Cheers
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Re: Amazing Mathematical Curiosity

Unread postby lateralus » Wed 28 Feb 2007, 12:12:33

Another curiousity is the fact that the radius of the moon divided by the width of my cat equals the size of the sub sandwich I had for lunch. Coincidence I think not.
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Re: Amazing Mathematical Curiosity

Unread postby PenultimateManStanding » Thu 01 Mar 2007, 00:33:26

$this->bbcode_second_pass_quote('JustWatch', ' ')I had to use trig functions (numbers, calculators, etc) instead of pure geometry to work out the understanding I got about the lune thing I described.
Here's the significance of this: tables of trig functions, and then calculator algorithms to spit out trig functions allow for a superficial understanding of mathematics. The work had already been done, lending an illusory feeling of profundity when one really is just borrowing from past efforts to make these mysteries intelligible. In a way, it's like these kids who punch numbers into their calculators and are convinced of the answers to questions of math they get. I'm sure professionals would not welcome the analogy, but I do believe it's true. The modern intellect is crippled by machines.
Last edited by PenultimateManStanding on Thu 01 Mar 2007, 23:34:41, edited 1 time in total.
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Re: Amazing Mathematical Curiosity

Unread postby PenultimateManStanding » Thu 01 Mar 2007, 23:25:33

The heptadecagon, Gauss's discovery, which was quite grand and convinced him when he discovered it at 19 years old, to dedicate his intellect, of which he was no doubt highly proud and solicitous as to how he should use it (oh, the glories of a younger Age of humanity), to Mathematics, has not been surpassed, as far as I know, by the discovery of a method of construction of the enneadecagon (19 sides). I looked for it online and couldn't find any hint of a geometrical construction of an enneadecagon. Does anybody know anything about this? Has it been done? The significance of this is that these are prime number constructions. My guess, based on what I've uncovered is that Gauss's discovery, made in 1796, was the highwater mark of Western Geometry.
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