There are infinitely many shapes, in infinitely many dimensions.
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Yes. Any shape can tessellate if you allow other shapes. The simplest way is to select the other shapes so that the given shape and the "other shapes" can be combined to make a rectangle or square.
Tangrams
The word "circumference" is used for circles and circular shapes, such as ellipses and ovals. For other plane shapes, the word used is perimeter.
Some shapes that are close to the rhombus are the square and kite.
an polygon