zero-dimensional examples: Endpoints of edges (vertices and corners)
Zero-dimensional figures lie in two-dimensional planes.
one-dimensional examples: Edges of figures (sides and arcs)
One-dimensional figures lie in two-dimensional planes.
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Yes, they do exist.
A zero-dimensional object cannot move along any dimension, so it (and everything else in this dimension) appears as one incredibly tiny speck. A point is zero-dimensional. A one-dimensional object is a step up from a zero-dimensional one, since objects can move in only in one direction, and objects appear along an impossibly narrow line. These include the line, ray, and segment.
a ray and a line
Lines! Yes, they are one-dimensional. Points are zero dimensional, planes are two-dimensional, and prisms and such are three dimensional.
Zero. Lines are one-dimensional and squares are two-dimensional, so they are not comparable.