My usual system (the one I would use when RS is not an issue, i.e. outside WP).
I plead guilty to the inconsistent transliteration as kappa as both k and c in the same word. In my defense, you don't see dekagon or triscaidecagon (although I did once see heccaidecahedron). My main excuse is that I wanted to keep names that are used, and build around them. Hence I keep icosikaitetragon (tens before units), though the original Ancient Greek would have it the other way around. I also thus have to keep hexakaidecagon, which is more common than the more etymologically correct hekkaidecagon: the same applies for my thus having to reject my beloved hebdomecontagon, ogdoecontagon, and enenecontagon (which are too far from expectation, so don't get used, while pentecontagon and hexecontagon survive). I keep -kai- for all save 11 and 12, as that is what Ancient Greek does.
| 1 | monogon |
| 2 | digon |
| 3 | trigon, triangle |
| 4 | tetragon, quadrilateral |
| 5 | pentagon |
| 6 | hexagon |
| 7 | heptagon |
| 8 | octagon |
| 9 | enneagon |
| 10 | decagon |
| 11 | hendecagon |
| 12 | dodecagon |
| 13 | triskaidecagon |
| 14 | tetrakaidecagon |
| 15 | pentakaidecagon |
| 16 | hexakaidecagon |
| 17 | heptakaidecagon |
| 18 | octakaidecagon |
| 19 | enneakaidecagon |
| 20 | icosagon |
| 21 | icosikaihenagon |
| 22 | icosikaidigon |
| 23 | icosikaitrigon |
| 24 | icosikaitetragon |
| 25 | icosikaipentagon |
| 26 | icosikaihexagon |
| 27 | icosikaiheptagon |
| 28 | icosikaioctagon |
| 29 | icosikaienneagon |
| 30 | triacontagon |
| 31 | triacontakaihenagon |
| 32 | triacontakaidigon |
| 33 | triacontakaitrigon |
| 34 | triacontakaitetragon |
| 35 | triacontakaipentagon |
| 36 | triacontakaihexagon |
| 37 | triacontakaiheptagon |
| 38 | triacontakaioctagon |
| 39 | triacontakaienneagon |
| 40 | tetracontagon |
| 50 | pentecontagon |
| 60 | hexecontagon |
| 70 | heptacontagon |
| 80 | octacontagon |
| 90 | enneacontagon |
| 100 | hectogon |
| 110 | hecatonkaidecagon |
| 120 | hecatonkaiicosagon |
| 130 | hecatonkaitriacontagon |
| 140 | hecatonkaitetracontagon |
| 144 | hecatonkaitetracontakaitetragon |
| 150 | hecatonkaipentecontagon |
| 160 | hecatonkaihexecontagon |
| 170 | hecatonkaiheptacontagon |
| 180 | hecatonkaioctacontagon |
| 190 | hecatonkaienneacontagon |
| 200 | diacosigon |
| 257 | diacosikaipentecontakaiheptagon |
| 300 | triacosigon |
| 400 | tetracosigon |
| 500 | pentacosigon |
| 600 | hexacosigon |
| 700 | heptacosigon |
| 800 | octacosigon |
| 900 | enneacosigon |
| 1000 | chiliagon |
| 2000 | dischiliagon |
| 3000 | trischiliagon |
| 4000 | tetrakischiliagon |
| 5000 | pentakischiliagon |
| 6000 | hexakischiliagon |
| 7000 | heptakischiliagon |
| 8000 | octakischiliagon |
| 9000 | enneakischiliagon |
| 10000 | myriagon |
| 20000 | dismyriagon |
| 30000 | trismyriagon |
| 40000 | tetrakismyriagon |
| 50000 | pentakismyriagon |
| 60000 | hexakismyriagon |
| 65537 | hexakismyriakaipentakischiliakaipentacosikaitriacontakaiheptagon |
| 70000 | heptakismyriagon |
| 80000 | octakismyriagon |
| 90000 | enneakismyriagon |
| 100000 | decakismyriagon |
| 110000 | hendecakismyriagon |
| 120000 | dodecakismyriagon |
| 130000 | triskaidecakismyriagon |
| 140000 | tetrakaidecakismyriagon |
| 150000 | pentakaidecakismyriagon |
| 160000 | hexakaidecakismyriagon |
| 170000 | heptakaidecakismyriagon |
| 180000 | octakaidecakismyriagon |
| 190000 | enneakaidecakismyriagon |
| 200000 | icosakismyriagon |
| 300000 | triacontakismyriagon |
| 400000 | tetracontakismyriagon |
| 500000 | pentecontakismyriagon |
| 600000 | hexecontakismyriagon |
| 700000 | heptacontakismyriagon |
| 800000 | octacontakismyriagon |
| 900000 | enneacontakismyriagon |
| 1000000 | hecatontakismyriagon |
| 2000000 | diacosakismyriagon |
| 3000000 | triacosakismyriagon |
| 4000000 | tetracosakismyriagon |
| 5000000 | pentacosakismyriagon |
| 6000000 | hexacosakismyriagon |
| 7000000 | heptacosakismyriagon |
| 8000000 | octacosakismyriagon |
| 9000000 | enneacosakismyriagon |
| 10000000 | chiliakismyriagon |
| 20000000 | dischiliakismyriagon |
| 30000000 | trischiliakismyriagon |
| 40000000 | tetrakischiliakismyriagon |
| 50000000 | pentakischiliakismyriagon |
| 60000000 | hexakischiliakismyriagon |
| 70000000 | heptakischiliakismyriagon |
| 80000000 | octakischiliakismyriagon |
| 90000000 | enneakischiliakismyriagon |
| 100000000 | myriakismyriagon |
| ∞ | apeirogon, horogon |
| iπ/λ | pseudogon |