It looks like you're using an Ad Blocker.
Please white-list or disable AboveTopSecret.com in your ad-blocking tool.
Thank you.
Some features of ATS will be disabled while you continue to use an ad-blocker.
originally posted by: Bhadhidar
A point is a singular dimension “object”, which becomes a line when extended into a two dimensional space and a plane when extended into a three dimensional space.
A square becomes a cube in three dimensions.
How does a circle become a sphere, instead of a cylinder, in three dimensions?
Pi refers to a circle’s (two dimensional object) circumference; can Pi even be applicable in higher dimensions?
If the answer is yes, I’m sensing Aliens!
originally posted by: schuyler
originally posted by: TycoonBarnaby
Pi is an irrational number. Irrational numbers by definition have an infinite decimal expansion that does not repeat (no pattern.)
Also, a number has no dimension so your question is basically nonsense to a mathematician.
Think outside the box. Have you ever seen "Contact"?
originally posted by: TycoonBarnaby
originally posted by: schuyler
originally posted by: TycoonBarnaby
Pi is an irrational number. Irrational numbers by definition have an infinite decimal expansion that does not repeat (no pattern.)
Also, a number has no dimension so your question is basically nonsense to a mathematician.
Think outside the box. Have you ever seen "Contact"?
I have seen Contact. I also have a PhD in mathematics, so this discussion so far has been quite hilarious.
Carry on.
originally posted by: TycoonBarnaby
originally posted by: schuyler
originally posted by: TycoonBarnaby
Pi is an irrational number. Irrational numbers by definition have an infinite decimal expansion that does not repeat (no pattern.)
Also, a number has no dimension so your question is basically nonsense to a mathematician.
Think outside the box. Have you ever seen "Contact"?
I have seen Contact. I also have a PhD in mathematics, so this discussion so far has been quite hilarious.
Carry on.
originally posted by: pheonix358
originally posted by: TycoonBarnaby
originally posted by: schuyler
originally posted by: TycoonBarnaby
Pi is an irrational number. Irrational numbers by definition have an infinite decimal expansion that does not repeat (no pattern.)
Also, a number has no dimension so your question is basically nonsense to a mathematician.
Think outside the box. Have you ever seen "Contact"?
I have seen Contact. I also have a PhD in mathematics, so this discussion so far has been quite hilarious.
Carry on.
So, you have been indoctrinated into looking at math in a certain way. Any PhD will limit your understanding based on the course material.
This is limiting your ability to think outside of the material you were taught.
To cope with this limitation in yourself ... you find it hilarious.
I am glad all of the founders of math and science did not have limiting indoctrination ... otherwise we would never have progressed.
P
originally posted by: projectvxn
The equation for measuring the volume of a sphere is (4/3)* Pi * r^2
Also, that projectvxn consistently (as in every post in this thread) incorrectly references the formula for the volume of a sphere (radius is cubed not squared.)
I did try to enter into this conversation early on, and you will notice an edit on page 2 where I decided it was not worth my time to correct all of this misinformation.
Pi is an irrational number. Period. QED.
Why can't we create a circle that has a rational circumference and a rational diameter
originally posted by: projectvxn
a reply to: TycoonBarnaby
Why can't we create a circle that has a rational circumference and a rational diameter
Which is why we use pi rational-approximations in robotics and other electronics calculations. CNC machines, Fanuc robots, and others work like this.
Calculating pi to infinite decimal places is a useless endeavor. it is better to approximate pi, especially in engineering where machine precision needs to be controlled.
It's good to use approximations(at least with Fanuc bots I've worked with)
3.1416(3.14159), 355/113(3.14159292035), 52163/16604(3.14159238738)*edit these are already well known and well identified ways of getting mathematical approximations for pi(there are many more)edit*, and so on as range estimators for how far you want the robot to turn for any given task(also setting time, speed and duration of spin). Simple decimal rounding like in the first example can be used to control a robot to a very fine degree in a 360-degree space.
Pi can certainly be approximated using rational numbers and you can define arbitrary conditions with it. Like how large of a circle you're gonna cut into a piece of metal.