| Name | Edges | Properties |
|---|---|---|
| monogon | 1 | Not generally recognised as a polygon, although some disciplines such as graph theory sometimes use the term. |
| digon | 2 | Not generally recognised as a polygon in the Euclidean plane, although it can exist as a spherical polygon. |
| triangle (or trigon) | 3 | The simplest polygon which can exist in the Euclidean plane. Can tile the plane. |
| quadrilateral (or tetragon) | 4 | The simplest polygon which can cross itself; the simplest polygon which can be concave; the simplest polygon which can be non-cyclic. Can tile the plane. |
| pentagon | 5 | TCGM The simplest polygon which can exist as a regular star. A star pentagon is known as a pentagram or pentacle. |
| hexagon | 6 | TCGM Can tile the plane. |
| heptagon | 7 | TCGM The simplest polygon such that the regular form is not constructible with compass and straightedge. However, it can be constructed using a Neusis construction. |
| octagon | 8 | TCGM |
| nonagon (or enneagon) | 9 | TCGM"Nonagon" mixes Latin [novem = 9] with Greek, "enneagon" is pure Greek. |
| decagon | 10 | TCGM |
| hendecagon (or undecagon) | 11 | TCGM The simplest polygon such that the regular form cannot be constructed with compass, straightedge, and angle trisector. |
| dodecagon (or duodecagon) | 12 | TCGM |
| tridecagon (or triskaidecagon) | 13 | TCGM |
| tetradecagon (or tetrakaidecagon) | 14 | TCGM |
| pentadecagon (or pentakaidecagon) | 15 | TCGM |
| hexadecagon (or hexakaidecagon) | 16 | TCGM |
| heptadecagon (or heptakaidecagon) | 17 | Constructible polygon |
| octadecagon (or octakaidecagon) | 18 | TCGM |
| enneadecagon (or enneakaidecagon) | 19 | TCGM |
| icosagon | 20 | TCGM |
| icositetragon (or icosikaitetragon) | 24 | TCGM |
| triacontagon | 30 | TCGM |
| tetracontagon (or tessaracontagon) | 40 | TCGMTNEM |
| pentacontagon (or pentecontagon) | 50 | TCGMTNEM |
| hexacontagon (or hexecontagon) | 60 | TCGMTNEM |
| heptacontagon (or hebdomecontagon) | 70 | TCGMTNEM |
| octacontagon (or ogdoëcontagon) | 80 | TCGMTNEM |
| enneacontagon (or enenecontagon) | 90 | TCGMTNEM |
| hectogon (or hecatontagon) | 100 | TCGM |
| 257 | Constructible polygon | |
| chiliagon | 1000 | Philosophers including René Descartes, Immanuel Kant, David Hume, have used the chiliagon as an example in discussions. |
| myriagon | 10,000 | Used as an example in some philosophical discussions, for example in Descartes' Meditations on First Philosophy |
| 65,537 | Constructible polygon | |
| megagon | 1,000,000 | As with René Descartes' example of the chiliagon, the million-sided polygon has been used as an illustration of a well-defined concept that cannot be visualised. The megagon is also used as an illustration of the convergence of regular polygons to a circle. |
| apeirogon | ? | A degenerate polygon of infinitely many sides. |
WolframAlpha + Wiki: Polygon#Naming_polygons
