The name for a 57 sided shape is derived by combining the name for a 50 sided shape with the name for a 7 sided shape.
A 57 sided shape is called a pentacontaheptagon.
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A 57-sided polygon is called a pentacontaheptagon. The name is derived from the Greek words "pente" meaning five, "kai" meaning and, and "hepta" meaning seven. This indicates that a pentacontaheptagon has 57 sides and 57 angles.
The name of a 51 sided polygon is Pentaconhenagon. The name of a 52 sided polygon is Pentacondigon. The name of a 53 sided polygon is Pentacontrigon. The name of a 54 sided polygon is Pentacontetragon. The name of a 55 sided polygon is Pentaconpentagon. The name of a 56 sided polygon is Pentaconheptagon. The name of a 57 sided polygon is Pentaconhexagon. The name of a 58 sided polygon is Pentaconoctagon. The name of a 59 sided polygon is Pentaconenneagon.
A 57-sided polygon would be called a pentacontaheptagon.(see related link for naming)
root 57 in radical form is √57 since 57 = 3 x 19 and there are no square factors.
Because 57 is bigger then 33