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The name for a 22-sided shape is a icosidigon. However, it is also acceptable to refer to the shape as a 22-agon.

The prefixes of names of shapes where the number of sides ends in the number shown are as follows:

side

ends in prefix

1: hena-

2: di-

3: tri-

4: tetra-

5: penta-

6: hexa-

7: hepta-

8: octa-

9: nona-

-gon is added to these prefixes, to form the name of the shape; for example, pentagon is a 5-sided shape, and trigon is another word for a triangle.

A ten-sided shape is called a decagon, with the dec- part referring to the 10. Shapes with 11-20 sides are formed by inserting the -dec- before the -agon and putting the unit of the shape number before this e.g. hendecagon, (hen-dec-agon) an 11-sided shape; tetradecagon for a 14-sided shape.

A shape with 20 sides is called an icosagon.

For shapes with more than 20 sides, the 20 is represented by the prefix icosi-, the unit of the number of sides is added and the word is ended with -gon to show that it is a polygon.

This is how the answer to your question, icosidigon (icosi-di-gon), is formed. Another example would be that a 26-sided shape would be named an icosihexagon.

More shape names and their constructions can be found at:

http://www.math.com/tables/geometry/polygons.htm

http://en.wikipedia.org/wiki/Polygon#Naming_polygons

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Q: What is the name of a 22 sided shape?
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