Math Is Fun Forum

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Dimensions (Script)

I am working on a short video about Dimensions.

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

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.

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Dimensions (Script)

Hi MIF;

That should work. Where is the vid?

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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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Dimensions (Script)

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]"?

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'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
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Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: Dimensions (Script)

Hi MathsIsFun,

The script is lucid and unambiguous. 

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

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Dimensions (Script)

Thanks guys.

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

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

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Dimensions (Script)

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

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

.

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