There are 2 main types of rectangle. An oblong rectangle is where the height of the rectangle is greater than the width, and obtuse, where the width is greater than the height.

This classification was made by renowned mathmetician Fred Holness is 1972.

An incomplete list of "lesser rectangles" can be found below:

The symbian-hybrid influx rectangle

The hope-peterssen rectangle

The inverse-triangular rectangle

The obtuse-inverse triangle rectangle

The regular-inverse triangle rectangle

The obtuse regular-inverse triangle rectangle

The quimm-hardely rectangle (hypothetical)

The semi-obtuse regular-inverse triangle rectangle (which differs by having curved lines on an axis other than x,y or z)

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