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July 20th, 2017, 11:06 PM   #1
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Dimensions

How to identify the dimension of the shapes ?
Like a line, a curve or a circle is one dimensional since it just says about the curcumference or the outline of that particular shape.

Shapes like disk, rectangle, triangle etc are two dimensional since it talks about the area of the shape including the outline...

Am I correct with the understanding or help me to understand the dimensions clearly...
Thanks
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July 21st, 2017, 12:20 AM   #2
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Originally Posted by Lalitha183 View Post
How to identify the dimension of the shapes ?
Like a line, a curve or a circle is one dimensional since it just says about the curcumference or the outline of that particular shape.

Shapes like disk, rectangle, triangle etc are two dimensional since it talks about the area of the shape including the outline...

Am I correct with the understanding or help me to understand the dimensions clearly...
Thanks
In Mathematics: any Length, Width and Height are dimensions.

For Example Point don't have any length, width or height.
So, it has Zero dimension (0D).

Line is having length, so it has 1 dimension (1D).

Circle, Triangle, Square, Pentagon or any Polygon are having length and width.
So, these are 2 dimension (2D).

Cube, Cuboid, Prism, Cylinder, Sphere, Cones and Everything we see from our Eyes are having length, width and height. So these are having 3 dimension (3D).


In Physics there are more than just 3 dimensions and most of them are not verified (and are used as science fiction):

Check this one:
https://ultraculture.org/blog/2014/1...sions-reality/
Thanks from agentredlum
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July 21st, 2017, 12:33 AM   #3
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Quote:
Originally Posted by sagar233 View Post
In Mathematics: any Length, Width and Height are dimensions.

For Example Point don't have any length, width or height.
So, it has Zero dimension (0D).

Line is having length, so it has 1 dimension (1D).

Circle, Triangle, Square, Pentagon or any Polygon are having length and width.
So, these are 2 dimension (2D).

Cube, Cuboid, Prism, Cylinder, Sphere, Cones and Everything we see from our Eyes are having length, width and height. So these are having 3 dimension (3D).


In Physics there are more than just 3 dimensions and most of them are not verified (and are used as science fiction):

Check this one:
https://ultraculture.org/blog/2014/1...sions-reality/

Thanks for the explanation😊 I also want to get clarified on cartesian plan!

If a cartesian plane has 2 coordinates as A&B then it is two dimensional and if it has 3 coordinates as X,Y& Z then it is 3-dimensional ?

Thanks alot😊
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July 21st, 2017, 12:41 AM   #4
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Thanks for the explanation������ I also want to get clarified on cartesian plan!

If a cartesian plane has 2 coordinates as A&B then it is two dimensional and if it has 3 coordinates as X,Y& Z then it is 3-dimensional ?

Thanks alot������
No, it doesn't matter what is the co-ordinate, only things matter is the shape of object.

Suppose, you have a point at three co-ordinates ( 5, 6, 8 ), it doesn't mean it's a 3 dimensional.
It will still zero dimensional.
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July 21st, 2017, 12:45 AM   #5
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okay... I think I have understood it now.

Thank you sagar
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July 21st, 2017, 12:49 AM   #6
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Originally Posted by Lalitha183 View Post
okay... I think I have understood it now.

Thank you sagar
Welcome
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July 21st, 2017, 01:59 AM   #7
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One point to add to sagar's excellent introduction.

In geometry a line means a straight line.

Any line like object that is not a straight is called a curve.
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July 21st, 2017, 12:17 PM   #8
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A circle is 1-dimensional (just the outline), whereas a disk is 2-dimensional. I don't recall a corresponding separate term for the 2-dimensional surface whose outline is a square, a rectangle or any other polygon.

However, a sphere is 2-dimensional, whereas a ball is 3-dimensional.

A straight line is a particular case of a curve.

A line is not necessarily straight (though it usually is); for example, no line of longitude (of the earth) is straight.

Last edited by skipjack; July 21st, 2017 at 12:22 PM.
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July 21st, 2017, 12:19 PM   #9
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I don't recall a corresponding separate term for the 2-dimensional surface whose outline is a square, a rectangle or any other polygon.
2-dimensional manifold with corners.
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