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In this blog I am going to describe various representations of cube in N dimensions more specifically I will focus on the number of vertices and vertices.

A 0 dimensional cube is just a point this is the basis of all geometry for without the point nothing may exist.

A 1 dimensional cube is a line segment this has 2 vertices connected by 1 edge.

A 2 dimensional cube is a square this is 4 vertices  connected by 4 edges.

A 3 dimensional cube is of course a cube this is 8 vertices connected by 12 edges.

A 4 dimensional cube is called a tesseract this has 16 vertices connected  32 edges.

A 5 dimensional cube is called a penteract this has 32 vertices connected by 80 edges.

A 6 dimensional cube is called a hexeract this has 64 vertices connected by 192 edges.

A 7 dimensional cube is called a hepteract/septeract this has 128 vertices connected by 448 edges.

An 8 dimensional cube is called an octeract this has 256 vertices connected by 1024 edges.

A 9 dimensional cube is called an nonaract this has 512 vertices connected by 2304 edges.

A 10 dimensional cube is called a dekeract this has 1024 vertices connected by 5120 edges

An 11 dimensional cube is called an undekeract this has 2048 vertices connected by 11264 edges.

A 12 dimensional cube is called a dodekeract this has 4096 vertices connected by 24576 edges.

A 13 dimensional cube is called a tridekeract this has 8192 vertices connected by 53248 edges.

A 14 dimensional cube is called a tetradekeract this has 16384 vertices connected by 114688 edges.

A 15 dimensional cube is called a pentadekeract this has 32768 vertices connected by 245760 edges.

A 16 dimensional cube is called a hexadekeract this has 65536 vertices connected by 524288 edges.

A 17 dimensional cube is called a heptadekeract this has  131072 vertices connected by 1114112 edges.

An 18 dimensional cube is called an octadekeract this 262144 vertices connected by 2359296 edges.

A 19 dimensional cube is called a nonadekeract this has 524288 vertices connected by 4980736 edges.

A 20 dimensional cube is called an duodekeract this has 1048576 vertices connected by 10485760 edges.

A 21 dimensional cube is called an unduodekeract this has 2097152 vertices connected by 22020096 edges.

Here are the names of the 100 ,1000 ,10000 ,100000 and 1000000 dimensional cubes.

A 100 dimensional cube is called a centeract this has 1.267650600228*10^30 vertices connected by 6.338253001141*10^31 edges.

A 1000 dimensional cube is called a myriaract this has 1.07150860719*10^301 vertices connected by 6.338253001141*10^302 edges.

A 10000 dimensional cube is called a megamyriaract this has 1.9950631169*10^3010 vertices connected by 9.9753155844*10^3013 edges.

A 100000 dimensional cube is called a great myriaract this has 9.990020930*10^30102 vertices connected 4.95032811*10^30107.

A 1000000 dimensional cube is called a megaract this has 9.90065623*10^301029 vertices connected by 4.95032811*10^301035 edges.

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