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Shape names are entirely based on Ancient Greek. The first part dependent on the number of sides/angles/vertices and is simply the equivalent number in Ancient Greek:

1-(h)ena 2-duo 3-tria 4-tetra 5-penta 6-hexa 7-hepta 8-octa 9-(h)ennea 10-deka

The numbers 11 and 12 are compounds of the numbers above:

11-(h)enadeka (1 10), 12 d(u)odeka (2 10)

13-19 are the same but have the Ancient Greek word 'kai' (and) between the two numbers

20 is eikosi but other than that the tens are the numbers above plus -konta

100 is (h)ekaton but the other 100s just as above but using -kosioi instead of -konta

1000 is khilioi with -khilioi as stem

10,000 is murioi with -murioi as stem

To form compund numbers use 'kai' between each number and go smallest to largest or largest to smallest

Shape names are often slightly angelised (ikosi instead of eikosi) and go in order of largest to smallest like English

This is all followed by the Ancient Greek word gon -os - oi (however English does not used declensions so it just becomes -gon)

Therefore a 69 sided shape would be hexakontakaienneagon

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