I have a theory. this may not be true and
I cannot prove it . I think
If you want to draw
a closed shape in x^(th) dimention
the minimum number of
vertex you will need is x+1
like if you want to draw a closed shape
in 2^(nd) dimention you will need atleast
3 vertex(2+1){triangle}
you can not draw a closed shape in two
dimention using 2 vertex
Similarly if you want to draw
a closed shape in 3rd fimention
you will need atleast 4 vertex(3+1){tetrahedron}
you can not make a closed shape
in 3dimention using 3 or 2 vertex
Does that mean you will need
atleast 5 vertex to draw a 4d object??
I dont know.
It is just an assumption based on
some similarities I noticed
I cannot give you any proof of my theory