In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain. These segments are called its edges or sides, and the points where two of the edges meet are the polygon's vertices (singular: vertex) or corners.
The word polygon comes from Late Latin polygōnum (a noun), from Greek πολύγωνον (polygōnon/polugōnon), noun use of neuter of πολύγωνος (polygōnos/polugōnos, the masculine adjective), meaning "many-angled". Individual polygons are named (and sometimes classified) according to the number of sides, combining a Greek-derived numerical prefix with the suffix -gon, e.g. pentagon , dodecagon . The triangle, quadrilateral and nonagon are exceptions, although the regular forms trigon, tetragon, and enneagon are sometimes encountered as well.
Polygons are primarily named by prefixes from Ancient Greek numbers.
| English cardinal number | English ordinal number | Greek cardinal number | Greek ordinal number |
|---|---|---|---|
| one | first | heis (fem. mia, neut. hen) | protos |
| two | second | duo | deuteros |
| three | third | treis | tritos |
| four | fourth | tettares | tetartos |
| five | fifth | pente | pemptos |
| six | sixth | hex | hektos |
| seven | seventh | hepta | hebdomos |
| eight | eighth | okto | ogdoös |
| nine | ninth | ennea | enatos |
| ten | tenth | deka | dekatos |
| eleven | eleventh | hendeka | hendekatos |
| twelve | twelfth | dodeka | dodekatos |
| thirteen | thirteenth | triskaideka | dekatotritos |
| fourteen | fourteenth | tettareskaideka | dekatotetartos |
| fifteen | fifteenth | pentekaideka | dekatopemptos |
| sixteen | sixteenth | hekkaideka | dekatohektos |
| seventeen | seventeenth | heptakaideka | dekatohebdomos |
| eighteen | eighteenth | oktokaideka | dekatoögdoös |
| nineteen | nineteenth | enneakaideka | dekatoënatos |
| twenty | twentieth | eikosi | eikostos |
| twenty-one | twenty-first | heiskaieikosi | eikostoprotos |
| twenty-two | twenty-second | duokaieikosi | eikostodeuteros |
| twenty-three | twenty-third | triskaieikosi | eikostotritos |
| twenty-four | twenty-fourth | tetterakaieikosi | eikostotetartos |
| twenty-five | twenty-fifth | pentekaieikosi | eikostopemptos |
| twenty-six | twenty-sixth | hekkaieikosi | eikostohektos |
| twenty-seven | twenty-seventh | heptakaieikosi | eikostohebdomos |
| twenty-eight | twenty-eighth | oktokaieikosi | eikostoögdoös |
| twenty-nine | twenty-ninth | enneakaieikosi | eikostoënatos |
| thirty | thirtieth | triakonta | triakostos |
| thirty-one | thirty-first | heiskaitriakonta | triakostoprotos |
| forty | fortieth | tessarakonta | tessarakostos |
| fifty | fiftieth | pentekonta | pentekostos |
| sixty | sixtieth | hexekonta | hexekostos |
| seventy | seventieth | hebdomekonta | hebdomekostos |
| eighty | eightieth | ogdoëkonta | ogdoëkostos |
| ninety | ninetieth | enenekonta | enenekostos |
| hundred | hundredth | hekaton | hekatostos |
| hundred and ten | hundred and tenth | dekakaihekaton | hekatostodekatos |
| hundred and twenty | hundred and twentieth | ikosikaihekaton | hekatostoikostos |
| two hundred | two hundredth | diakosioi | diakosiostos |
| three hundred | three hundredth | triakosioi | triakosiostos |
| four hundred | four hundredth | tetrakosioi | tetrakosiostos |
| five hundred | five hundredth | pentakosioi | pentakosiostos |
| six hundred | six hundredth | hexakosioi | hexakosiostos |
| seven hundred | seven hundredth | heptakosioi | heptakosiostos |
| eight hundred | eight hundredth | oktakosioi | oktakosiostos |
| nine hundred | nine hundredth | enneakosioi | enneakosiostos |
| thousand | thousandth | chilioi | chiliostos |
| two thousand | two thousandth | dischilioi | dischiliostos |
| three thousand | three thousandth | trischilioi | trischiliostos |
| four thousand | four thousandth | tetrakischilioi | tetrakischiliostos |
| five thousand | five thousandth | pentakischilioi | pentakischiliostos |
| six thousand | six thousandth | hexakischilioi | hexakischiliostos |
| seven thousand | seven thousandth | heptakischilioi | heptakischiliostos |
| eight thousand | eight thousandth | oktakischilioi | oktakischiliostos |
| nine thousand | nine thousandth | enneakischilioi | enneakischiliostos |
| ten thousand | ten thousandth | myrioi | myriastos |
| twenty thousand | twenty thousandth | dismyrioi | dismyriastos |
| thirty thousand | thirty thousandth | trismyrioi | trismyriastos |
| forty thousand | forty thousandth | tetrakismyrioi | tetrakismyriastos |
| fifty thousand | fifty thousandth | pentakismyrioi | pentakismyriastos |
| sixty thousand | sixty thousandth | hexakismyrioi | hexakismyriastos |
| seventy thousand | seventy thousandth | heptakismyrioi | heptakismyriastos |
| eighty thousand | eighty thousandth | oktakismyrioi | oktakismyriastos |
| ninety thousand | ninety thousandth | enneakismyrioi | enneakismyriastos |
| hundred thousand | hundred thousandth | dekakismyrioi | dekakismyriastos |
| two hundred thousand | two hundred thousandth | ikosakismyrioi | ikosakismyriastos |
| three hundred thousand | three hundred thousandth | triakontakismyrioi | triakontakismyriastos |
| million | millionth | hekatontakismyrioi | hekatontakismyriastos |
| two million | two millionth | diakosakismyrioi | diakosakismyriastos |
| three million | three millionth | triakosakismyrioi | triakosakismyriastos |
| ten million | ten millionth | chiliakismyrioi | chiliakismyriastos |
| hundred million | hundred millionth | myriakismyrioi | myriakismyriastos |
To construct the name of a polygon with more than 20 and fewer than 100 edges, combine the prefixes as follows. The "kai" connector is not included by some authors.
| Tens | and | Ones | final suffix | ||
|---|---|---|---|---|---|
| -kai- | 1 | -hena- | -gon | ||
| 20 | icosi- (icosa- when used alone) | 2 | -di- | ||
| 30 | triaconta- | 3 | -tri- | ||
| 40 | tetraconta- | 4 | -tetra- | ||
| 50 | pentaconta- | 5 | -penta- | ||
| 60 | hexaconta- | 6 | -hexa- | ||
| 70 | heptaconta- | 7 | -hepta- | ||
| 80 | octaconta- | 8 | -octa- | ||
| 90 | enneaconta- | 9 | -ennea- | ||
Extending the system up to 999 is expressed with these prefixes. [3]
| Ones | Tens | Twenties | Thirties+ | Hundreds | |||||
|---|---|---|---|---|---|---|---|---|---|
| 10 | deca- | 20 | icosa- | 30 | triaconta- | ||||
| 1 | hena- | 11 | hendeca- | 21 | icosi-hena- | 31 | triaconta-hena- | 100 | hecta- |
| 2 | di- | 12 | dodeca- | 22 | icosi-di- | 32 | triaconta-di- | 200 | dihecta- |
| 3 | tri- | 13 | triskaideca- | 23 | icosi-tri- | 33 | triaconta-tri- | 300 | trihecta- |
| 4 | tetra- | 14 | tetrakaideca- | 24 | icosi-tetra- | 40 | tetraconta- | 400 | tetrahecta- |
| 5 | penta- | 15 | pentakaideca- | 25 | icosi-penta- | 50 | pentaconta- | 500 | pentahecta- |
| 6 | hexa- | 16 | hexakaideca- | 26 | icosi-hexa- | 60 | hexaconta- | 600 | hexahecta- |
| 7 | hepta- | 17 | heptakaideca- | 27 | icosi-hepta- | 70 | heptaconta- | 700 | heptahecta- |
| 8 | octa- | 18 | octakaideca- | 28 | icosi-octa- | 80 | octaconta- | 800 | octahecta- |
| 9 | ennea- | 19 | enneakaideca- | 29 | icosi-ennea- | 90 | enneaconta- | 900 | enneahecta- |
| Sides | Names | |||
|---|---|---|---|---|
| 1 | henagon | monogon | ||
| 2 | digon | bigon | ||
| 3 | trigon | triangle | ||
| 4 | tetragon | quadrilateral | ||
| 5 | pentagon | |||
| 6 | hexagon | |||
| 7 | heptagon | septagon | ||
| 8 | octagon | |||
| 9 | enneagon | nonagon | ||
| 10 | decagon | |||
| 11 | hendecagon | undecagon | ||
| 12 | dodecagon | |||
| 13 | tridecagon | triskaidecagon | ||
| 14 | tetradecagon | tetrakaidecagon | ||
| 15 | pentadecagon | pentakaidecagon | ||
| 16 | hexadecagon | hexakaidecagon | ||
| 17 | heptadecagon | heptakaidecagon | septendecagon | |
| 18 | octadecagon | octakaidecagon | ||
| 19 | enneadecagon | enneakaidecagon | ||
| 20 | icosagon | |||
| 21 | icosikaihenagon | icosihenagon | ||
| 22 | icosikaidigon | icosidigon | icosadigon | |
| 23 | icosikaitrigon | icositrigon | icosatrigon | |
| 24 | icosikaitetragon | icositetragon | icosatetragon | |
| 25 | icosikaipentagon | icosipentagon | icosapentagon | |
| 26 | icosikaihexagon | icosihexagon | icosahexagon | |
| 27 | icosikaiheptagon | icosiheptagon | icosaheptagon | |
| 28 | icosikaioctagon | icosioctagon | icosaoctagon | |
| 29 | icosikaienneagon | icosienneagon | icosaenneagon | |
| 30 | triacontagon | |||
| 31 | triacontakaihenagon | triacontahenagon | tricontahenagon | |
| 32 | triacontakaidigon | triacontadigon | tricontadigon | |
| 33 | triacontakaitrigon | triacontatrigon | tricontatrigon | |
| 34 | triacontakaitetragon | triacontatetragon | tricontatetragon | |
| 35 | triacontakaipentagon | triacontapentagon | tricontapentagon | |
| 36 | triacontakaihexagon | triacontahexagon | tricontahexagon | |
| 37 | triacontakaiheptagon | triacontaheptagon | tricontaheptagon | |
| 38 | triacontakaioctagon | triacontaoctagon | tricontaoctagon | |
| 39 | triacontakaienneagon | triacontaenneagon | tricontaenneagon | |
| 40 | tetracontagon | tessaracontagon | ||
| 41 | tetracontakaihenagon | tetracontahenagon | tessaracontahenagon | |
| 42 | tetracontakaidigon | tetracontadigon | tessaracontadigon | |
| 43 | tetracontakaitrigon | tetracontatrigon | tessaracontatrigon | |
| 44 | tetracontakaitetragon | tetracontatetragon | tessaracontatetragon | |
| 45 | tetracontakaipentagon | tetracontapentagon | tessaracontapentagon | |
| 46 | tetracontakaihexagon | tetracontahexagon | tessaracontahexagon | |
| 47 | tetracontakaiheptagon | tetracontaheptagon | tessaracontaheptagon | |
| 48 | tetracontakaioctagon | tetracontaoctagon | tessaracontaoctagon | |
| 49 | tetracontakaienneagon | tetracontaenneagon | tessaracontaenneagon | |
| 50 | pentacontagon | pentecontagon | ||
| 51 | pentacontakaihenagon | pentacontahenagon | pentecontahenagon | |
| 52 | pentacontakaidigon | pentacontadigon | pentecontadigon | |
| 53 | pentacontakaitrigon | pentacontatrigon | pentecontatrigon | |
| 54 | pentacontakaitetragon | pentacontatetragon | pentecontatetragon | |
| 55 | pentacontakaipentagon | pentacontapentagon | pentecontapentagon | |
| 56 | pentacontakaihexagon | pentacontahexagon | pentecontahexagon | |
| 57 | pentacontakaiheptagon | pentacontaheptagon | pentecontaheptagon | |
| 58 | pentacontakaioctagon | pentacontaoctagon | pentecontaoctagon | |
| 59 | pentacontakaienneagon | pentacontaenneagon | pentecontaenneagon | |
| 60 | hexacontagon | hexecontagon | ||
| 61 | hexacontakaihenagon | hexacontahenagon | hexecontahenagon | |
| 62 | hexacontakaidigon | hexacontadigon | hexecontadigon | |
| 63 | hexacontakaitrigon | hexacontatrigon | hexecontatrigon | |
| 64 | hexacontakaitetragon | hexacontatetragon | hexecontatetragon | |
| 65 | hexacontakaipentagon | hexacontapentagon | hexecontapentagon | |
| 66 | hexacontakaihexagon | hexacontahexagon | hexecontahexagon | |
| 67 | hexacontakaiheptagon | hexacontaheptagon | hexecontaheptagon | |
| 68 | hexacontakaioctagon | hexacontaoctagon | hexecontaoctagon | |
| 69 | hexacontakaienneagon | hexacontaenneagon | hexecontaenneagon | |
| 70 | heptacontagon | hebdomecontagon | ||
| 71 | heptacontakaihenagon | heptacontahenagon | hebdomecontahenagon | |
| 72 | heptacontakaidigon | heptacontadigon | hebdomecontadigon | |
| 73 | heptacontakaitrigon | heptacontatrigon | hebdomecontatrigon | |
| 74 | heptacontakaitetragon | heptacontatetragon | hebdomecontatetragon | |
| 75 | heptacontakaipentagon | heptacontapentagon | hebdomecontapentagon | |
| 76 | heptacontakaihexagon | heptacontahexagon | hebdomecontahexagon | |
| 77 | heptacontakaiheptagon | heptacontaheptagon | hebdomecontaheptagon | |
| 78 | heptacontakaioctagon | heptacontaoctagon | hebdomecontaoctagon | |
| 79 | heptacontakaienneagon | heptacontaenneagon | hebdomecontaenneagon | |
| 80 | octacontagon | ogdoecontagon | ||
| 81 | octacontakaihenagon | octacontahenagon | ogdoecontahenagon | |
| 82 | octacontakaidigon | octacontadigon | ogdoecontadigon | |
| 83 | octacontakaitrigon | octacontatrigon | ogdoecontatrigon | |
| 84 | octacontakaitetragon | octacontatetragon | ogdoecontatetragon | |
| 85 | octacontakaipentagon | octacontapentagon | ogdoecontapentagon | |
| 86 | octacontakaihexagon | octacontahexagon | ogdoecontahexagon | |
| 87 | octacontakaiheptagon | octacontaheptagon | ogdoecontaheptagon | |
| 88 | octacontakaioctagon | octacontaoctagon | ogdoecontaoctagon | |
| 89 | octacontakaienneagon | octacontaenneagon | ogdoecontaenneagon | |
| 90 | enneacontagon | enenecontagon | ||
| 91 | enneacontakaihenagon | enneacontahenagon | enenecontahenagon | |
| 92 | enneacontakaidigon | enneacontadigon | enenecontadigon | |
| 93 | enneacontakaitrigon | enneacontatrigon | enenecontatrigon | |
| 94 | enneacontakaitetragon | enneacontatetragon | enenecontatetragon | |
| 95 | enneacontakaipentagon | enneacontapentagon | enenecontapentagon | |
| 96 | enneacontakaihexagon | enneacontahexagon | enenecontahexagon | |
| 97 | enneacontakaiheptagon | enneacontaheptagon | enenecontaheptagon | |
| 98 | enneacontakaioctagon | enneacontaoctagon | enenecontaoctagon | |
| 99 | enneacontakaienneagon | enneacontaenneagon | enenecontaenneagon | |
| 100 | hectogon | hecatontagon | hecatogon | |
| 120 | hecatonicosagon | dodecacontagon | ||
| 200 | dihectagon | diacosigon | ||
| 300 | trihectagon | triacosigon | ||
| 400 | tetrahectagon | tetracosigon | ||
| 500 | pentahectagon | pentacosigon | ||
| 600 | hexahectagon | hexacosigon | ||
| 700 | heptahectagon | heptacosigon | ||
| 800 | octahectagon | octacosigon | ||
| 900 | enneahectagon | enneacosigon | ||
| 1000 | chiliagon | |||
| 2000 | dischiliagon | dichiliagon | ||
| 3000 | trischiliagon | trichiliagon | ||
| 4000 | tetrakischiliagon | tetrachiliagon | ||
| 5000 | pentakischiliagon | pentachiliagon | ||
| 6000 | hexakischiliagon | hexachiliagon | ||
| 7000 | heptakischiliagon | heptachiliagon | ||
| 8000 | octakischiliagon | octachiliagon | ||
| 9000 | enneakischiliagon | enneachilliagon | ||
| 10000 | myriagon | |||
| 20000 | dismyriagon | dimyriagon | ||
| 30000 | trismyriagon | trimyriagon | ||
| 40000 | tetrakismyriagon | tetramyriagon | ||
| 50000 | pentakismyriagon | pentamyriagon | ||
| 60000 | hexakismyriagon | hexamyriagon | ||
| 70000 | heptakismyriagon | heptamyriagon | ||
| 80000 | octakismyriagon | octamyriagon | ||
| 90000 | enneakismyriagon | enneamyriagon | ||
| 100000 | decakismyriagon | decamyriagon | ||
| 200000 | icosakismyriagon | icosamyriagon | ||
| 300000 | triacontakismyriagon | tricontamyriagon | ||
| 400000 | tetracontakismyriagon | tetracontamyriagon | ||
| 500000 | pentacontakismyriagon | pentacontamyriagon | ||
| 600000 | hexacontakismyriagon | hexacontamyriagon | ||
| 700000 | heptacontakismyriagon | heptacontamyriagon | ||
| 800000 | octacontakismyriagon | octacontamyriagon | ||
| 900000 | enneacontakismyriagon | enneacontamyriagon | ||
| 1000000 | hecatontakismyriagon | megagon | ||
| 2000000 | diacosakismyriagon | dimegagon | ||
| 3000000 | triacosakismyriagon | trimegagon | ||
| 4000000 | tetracosakismyriagon | tetramegagon | ||
| 5000000 | pentacosakismyriagon | pentamegagon | ||
| 6000000 | hexacosakismyriagon | hexamegagon | ||
| 7000000 | heptacosakismyriagon | heptamegagon | ||
| 8000000 | octacosakismyriagon | octamegagon | ||
| 9000000 | enneacosakismyriagon | enneamegagon | ||
| 10000000 | chiliakismyriagon | decamegagon | ||
| 20000000 | dischiliakismyriagon | icosamegagon | ||
| 30000000 | trischiliakismyriagon | triacontamegagon | ||
| 40000000 | tetrakischiliakismyriagon | tetracontamegagon | ||
| 50000000 | pentakischiliakismyriagon | pentacontamegagon | ||
| 60000000 | hexakischiliakismyriagon | hexacontamegagon | ||
| 70000000 | heptakischiliakismyriagon | heptacontamegagon | ||
| 80000000 | octakischiliakismyriagon | octacontamegagon | ||
| 90000000 | enneakischiliakismyriagon | enneacontamegagon | ||
| 100000000 | myriakismyriagon | hectamegagon | ||
| 1000000000 | gigagon [6] | |||
| ∞ | apeirogon | |||