You might be referring to what's called a tesselation of space. Tiles on a floor are one example of a tesselation: each tile is a polygon (a square most often) and when they are laid on the floor properly there are no gaps or overlaps. A honeycomb shows another kind of tesselation.
The definition of a polygon will not allow these things to happen.
A vertex is the point where two (or more) lines meet. Polygons have vertices.
adjacent
Two angles that share a common side and a vertex and do not overlap.
a lml told me to vertex it
Alternate angles
vertex* * * * *Yes.
All polygons and polyhedra.All polygons and polyhedra.All polygons and polyhedra.All polygons and polyhedra.
vertex
A vertex is the point where two (or more) lines meet. Polygons have vertices.
vertex* * * * *Yes.
It is the singular of the plural vertices relating to angles of polygons
Two angles that share a common side and a vertex and do not overlap.
adjacent
adjacent angles
There are infinitely many even on the plane and infintely more in space.For Example:Take a square, draw the diagonals.The meeting point of the dialgonals is the vertex where three polygons (in this case triangles) meet.
A vertex is the point at which two edges meet such as a corner. Shapes that have more than one vertex includes polygons. Triangles, rectangles, and octagons have more than one vertex.
yOU START WiTH THE VERTEX.VERTEX iS THE ANSWER