> Off Topic Discussions
Bothering me...
DougE6:
A square circle? Well first of all, as far as I know, one cannot construct a square and circle to have the same exact area. Since pi is a transcendental number, and has no algebraic roots with rational number coefficients. For example a square of area 16 has sides of 4; but can one construct a circle with area 16? Only approximately, never exactly. Conversely, can you construct a square with area pi 4 squared? Nope. So if they can never EVEN have the same area, how can we even hope to have a square circle? :)
I like your question though. At the tiniest size level, the quantum level, science is full of paradoxes. And as you approach the speed of light, the largest level, relativity is also full of paradoxes. So at the extremes our natural world is full of paradoxes. As much as we like to think our world is as concrete as our instincts tell us it is, it isn't.
And your right, squircles exist.
cjwood:
i just googled 'squircle', and learned all kind of things. i had never heard that term before.
claudia
Ian:
--- Quote from: DougE6 on August 24, 2011, 11:40:15 PM ---
A square circle? Well first of all, as far as I know, one cannot construct a square and circle to have the same exact area. Since pi is a transcendental number, and has no algebraic roots with rational number coefficients. For example a square of area 16 has sides of 4; but can one construct a circle with area 16? Only approximately, never exactly. Conversely, can you construct a square with area pi 4 squared? Nope. So if they can never EVEN have the same area, how can we even hope to have a square circle? :)
I like your question though. At the tiniest size level, the quantum level, science is full of paradoxes. And as you approach the speed of light, the largest level, relativity is also full of paradoxes. So at the extremes our natural world is full of paradoxes. As much as we like to think our world is as concrete as our instincts tell us it is, it isn't.
And your right, squircles exist.
--- End quote ---
Thank you, all! Could you give me some examples of those paradoxes, Doug? It would help with my thought patterns. ^^
Duane:
Area 51-- also has many transcendental mysteries!
noeleena:
Hi. Doug .
As a ? why not, can not a circle & a Sq be the same, they can get a peace of string put it around the sq , then take it off & make a circle of the string whats the difference ....none same size.
think out side the box.
how do you think we build building's every thing starts with string.
Here's one .
a building is say 200 ft long 100 ft high a beam from left to right. surported at both ends,
as you look at it , is it straight say your 100 ft away from the front. no it'll look like it has a sag in the middle so we build it up at say 2 ft so you on the ground think it's straight, even if its not. called a up ward curve .
A peace of string can do more than mere ft & in's or maths.
oh well what do i know back to swinging off my bridge, with my string rope . gota have a laugh,,,,,,
...noeleena...
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