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#1 2015-01-23 09:38:37

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,664

Dimensions (Script)

I am working on a short video about Dimensions.

This is my script. Is it accurate? Does it convey the ideas well?

script wrote:

Hi! Let's learn about Dimensions

In Geometry we can have different dimensions.

Let us start with a point.

Can't see it? Well it has no size, so we will highlight it.


Now lets allow the point to move in one direction.

We get a line.

We need just one value to find a point on that line. So we have one dimension.

A line is one-dimensional.


Now lets allow the point to move in another direction. And we get a plane.

We need two values to find a point on that plane. So we have two dimensions. We call it 2D.

A 2D object is flat.

Circles, triangles, squares and more are two-dimensional.

We also call them plane shapes.


Now we let that point move in another completely different direction and we have three dimensions.

Spheres, cubes, cylinders and more are 3-dimensional.

We also call them solid shapes.


We can have more dimensions, but I can't draw them.

In Physics Time can be thought of as a dimension, but not in Geometry.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#2 2015-01-23 10:35:31

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Dimensions (Script)

Hi MIF;

That should work. Where is the vid?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2015-01-23 12:35:12

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,838
Website

Re: Dimensions (Script)

MIF wrote:

In Physics Time can be thought of as a dimension, but not in Geometry.

Why not? What about statements in geometry like "the deformation is carried out in time in [0,1]"?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#4 2015-01-23 14:24:42

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Dimensions (Script)

Hi MathsIsFun,

The script is lucid and unambiguous. 

I too think of time as the fourth dimension (The Time-Space continuum).


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5 2015-01-23 15:27:39

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,664

Re: Dimensions (Script)

Thanks guys.

Probably best I just don't mention time. Save it for another time smile


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#6 2015-01-23 21:20:53

Olinguito
Member
Registered: 2014-08-12
Posts: 649

Re: Dimensions (Script)

MathsIsFun wrote:

Probably best I just don't mention time. Save it for another time smile

Instead you could probably mention dimensions in vector spaces, which are a generalization of the three spatial dimensions of Euclidean geometry. An example of a vector space of dimension n is
.


Bassaricyon neblina

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