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hello and welcome
my name is Adi ***
I am looking at some geometry Have you ever thought about the fourth dimension?
Well there is one way we can look at the fourth dimension
and that is by starting from the second dimension
and working our way up, and trying to make sense of it
that way
So what can we do? First of all in the second dimension,
in two dimensions we have squares and what is the equivalent in the third dimension?
Obviously the cube,
we have the cube here.
Right so, if we was going to cut a square up
into two right angle triangles, like that.
What would be the equivalent of doing that in three dimensions?
Well, a right angled triangle would be
a right angled tetrahedron.
Which we have here,
which is just a corner of the cube.
In two dimensions we have two right triangles,
but in three dimensions
we would have four right tetrahedrons.
One there, one there, one there,
and one there.
So two dimensionally
what do we have between the two right triangles? We have a line don't we,
we have a straight line,
and what do we have between the four right tetrahedra?
four right tetrahedra?
we have a regular
tetrahedron.
So what we have in two dimensions is a line,
for three dimensions we have a tetrahedron.
so what would happen
if we did this in the fourth dimension?
well this is
"The Family Of Adi Polytopes".
This is the maths paper that i have written and looked at, using binary
to find out the vertices,
we find that the shape has eight vertices
and it's all written up
in the link below: on scribd http://www.scribd.com/doc/192589957/The-Family-of-Adi-Polytopes
thank you for listening
thank you for watching