A proposal for replacing decimal based names of geometrical figures by dozenal names of Greek derivation.

After Gauss, the number of edges of constructible regular polygons by ungraduated straight-edged rule and unfixed compass have prime factorisations of the form \(2^{n}\) times the zeroth or first powers of primes of the form \(2^{2^m}+1\).

**Table of Names for Polygons**Number of Vertices or Edges | Polygon Name | Notes |

one | henagon | point |

two | digon | segment of a line |

three | trigon | triangle |

four | tetragon | quadrilateral |

five | pentagon | |

six | hexagon | |

seven | heptagon | |

eight | octagon | |

nine | enneagon | nonagon |

ten | decagon | |

eleven | enkomigon | |

twelve | henzigon | |

a dozen plus one | henkaizigon | |

a dozen plus two | dokaizigon | |

a dozen plus three | trikaizigon | includes a constructible polygon |

a dozen plus four | tetrakaizigon | |

a dozen plus five | pentakaizigon | includes a constructible regular polygon |

a dozen plus six | hexakaizigon | |

a dozen plus seven | heptakaizigon | |

a dozen plus eight | octakaizigon | |

a dozen plus nine | enneakaizigon | |

a dozen plus ten | decakaizigon | |

a dozen plus eleven | enkomikaizigon | |

two dozen | dozigon | |

two dozen plus one | henkaidozigon | |

three dozen | trizigon | |

four dozen | tetrazigon | |

five dozen | pentazigon | |

six dozen | hexazigon | |

seven dozen | heptazigon | |

eight dozen | octazigon | |

nine dozen | enneazigon | |

ten dozen | decazigon | |

eleven dozen | enkomizigon | |

square dozen | zardogon | |

square dozen plus one | henkaizardogon | |

square dozen plus twelve | henzikaizardogon | |

square dozen plus twelve plus one | henkaihenzikaizardogon | |

square dozen plus nine dozen plus five | pentakaienneazikaizardogon | includes a constructible regular polygon |

cubic dozen | zartrigon | |

cubic dozen plus one | henkaizartrigon | |

quartic dozen | zartetragon | |

three quartic dozen + a cubic dozen + eleven square dozen + a dozen + five | pentakaihenzikaienkomizardokaizartrikaitrizartetragon | includes a constructible regular polygon |

quintic dozen | zarpentagon | |

sextic dozen | zarhexagon |

After Gauss, the number of edges of constructible regular polygons by ungraduated straight-edged rule and unfixed compass have prime factorisations of the form \(2^{n}\) times the zeroth or first powers of primes of the form \(2^{2^m}+1\).

**Table of Polyhedral Names**Number of faces | Polyhedron Name | Notes |

one | henahedron | |

two | dohedron | includes polygons |

three | trihedron | |

four | tetrahedron | includes triangular-based pyramids |

five | pentahedron | includes square-based pyramids, triangular prisms |

six | hexahedron | includes the cube |

seven | heptahedron | |

eight | octahedron | includes a Platonic solid |

nine | enneahedron | |

ten | decahedron | |

eleven | enkomihedron | |

twelve | henzihedron | includes a Platonic solid |

twelve plus one | henkaizihedron | |

twelve plus two | dokaizihedron | |

twelve plus three | trikaizihedron | |

twelve plus five | pentakaizihedron | |

twelve plus eight | octakaizihedron | includes the Platonic solid icosahedron |

two dozen | dozihedron | |

three dozen | trizihedron |

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