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We start with a point.

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like the point we know from geometry

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it has no sice, no dimension

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it just an imaginary idea

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that indicates a position in a system

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a second point then can be used to indicate a different position

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but it too is of undetermined size

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to create the first dimension

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all we need is a line joining any two points

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our first dimensional object has length only

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no width or depth

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if we now take our first dimensional like

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and draw a second line

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crossing the first

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we invented the second dimension

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the object we're presenting now has a length, a width

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but no depth

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to help us with imagining with the higher dimensions

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we're going to represend our second dimensional object

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as beeing creating a second line which branches off from the first

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now lets imaging a race of two dimenstional cratures called flatlanders

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what would it be like to be a flatlander living in their two dimensional world

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a two dimensional creature

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would only have length and width

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as if they're the roaylty on a implossibly plain play card

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picture this

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a flatlander couldn't possibly have a digestive tract

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because the pipe from the mouth to the bottom

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would devide them into two peaces

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and a flatlander trying to view our three dimensional world

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would only be able to perceive shapes

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in two dimensional crossections

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a baloon fro instance

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would start as a tiny dot

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become a holow circle

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which .... grows to a certain size

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than shirnks back to a dot

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before popping out of existence

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an we three dimensional human beeings

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would seem very strange indeed to a flatlander

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imaginging the third dimenstion is the easiest for us

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because for every moment of our lives this wat we're in

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a three dimensional object has length, width and hight

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but here is another way to describe the third dimension

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if we imagine an ant walking across a newspaper

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which is lying on a table

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we can pretend that the ant is a flatlander

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walking along in a flat two dimensional newspaper world

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if that paper is now foldet in the middle

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we create a way for our flatlander ant

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to magically diappear from one position in his world

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an be instantly tranported to another

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we can image that we did this by taking a two dimensional object

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and folding it through the dimension above

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which is our third dimension

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once again it would be more convinient for us

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as we imagine the higher dimensions

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if we can think of the third dimension in this way

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