The geometric names for polygon shapes

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Regular Polygons

A list of regular polygons and their names. Polygons are figures composed of a number of straight lines that are joined together. Regular polygons have equal length sides and equal interior angles. Polygons are named according to their number of sides.

Often polygons with sides numbering greater then 10 are simply referred to n-gon (e.g. 17-gon) for convenience

No. of
sides
Polygon Name Internal Angle
3Triangle60°
4Square or Quadrilateral90°
5Pentagon108°
6Hexagon120°
7Heptagon128.571°
8Octagon135°
9Nonagon or Ennagon140°
10Decagon144°
11Hendecagon or Undecagon147.273°
12Dodecagon150°
13Triskaidecagon152.308°
14Tetrakaidecagon154.286°
15Pendedecagon156°
16Hexdecagon157.5°
17Heptdecagon158.824°
18Octdecagon160°
19Enneadecagon161.053°
20Icosagon162°
30Triacontagon168°
40Tetracontagon171°
50Pentacontagon172.8°
60Hexacontagon174°
70Heptacontagon174.857°
80Octacontagon175.5°
90Enneacontagon176°
100Hectagon176.4°
1000Chiliagon179.640°
10000Myriagon179.964°
100000Megagon179.996°
10100Googolgonalmost 180° :-)

Intervening polygons

Polygons with sides numbering between the main divisions of ten above are named by combining the prefixes and suffixes listed below. For example a 56 sided polygon would be called a Pentacontakaihexagon.

No. of
Sides
Name Prefix   Name Suffix No. of
Sides
20Icosikai...combine with...henagon1
30Triacontakai......digon2
40Tetracontakai......trigon3
50Pentacontakai......tetragon4
60Hexacontakai......pentagon5
70Heptacontakai......hexagon6
80Octacontakai......heptagon7
90Enneacontakai......octagon8
...enneagon9
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