what is meant by dimension of an object? #dimension

   

DIMENSION  :  

        we often see the 2 dimensional, 3 dimensional objects. 

         for example square, rectangle, circle are 2 dimensional where as cube, cuboid and sphere are 3 dimensional objects.      


                                                        


    but here a curiosity is that how to measure the  dimension of an object.

" An object is said to be of dimension n if its boundary is of dimension n-1 "

 for example if we see a square which has boundary 4 lines and since each line is of one dimensional , the total object i.e.,square is of dimension 2.

  similarly if we take a cube which is surrounded by 6 squares. since each square is  of dimension 2 , the dimension of cube is 3.

 Also here I introduce a few 4th dimensional objects they are hypercube, ring, pentatope, hyperplane etc.

We all know how to draw 2 & 3 dimensional objects.

In the following video you can see how to draw a 4th dimensional object Hypercube.



#what #is #meant #by #dimension #of #an #object
#square #cube #pentatope #hypercube #cube #cuboid

















































































































 

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