One dimension has only one axis of possibilities. Motion in one dimension is motion on straight line. Two dimensions is motion on a plane. Two axes meet at right angles and extend in both directions. A point can be located anywhere that can be described as two points in this plane.
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In 2-dimensional space, it is the difference between their y-coordinates, in 3-dimensional space, it is the difference between their z-coordinates.
A rhombus is a two dimensional object, a rhomboid is 3 dimensional. The relation between the two is the same as that between a square and a cube.
Trapezium is a two dimensional figure and trepezoid is a three dimensional figure
The main difference between a polygon and a solid shape is that polygons are two dimensional. In contrast, solid shapes are three dimensional objects.
Two dimensional graphs have two dimensions: x and y. Three dimensional graphs add a third dimension: z. These give the illusion of depth, while two dimensional graphs do not.