In geometry, a polygon is traditionally a planefigure 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.
A pentagon is a five-sided polygon. A regular pentagon has 5 equal edges and 5 equal angles.
The word polygon comes from Late Latinpolygōnum (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.
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 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] the names over 99 no longer correspond to how they are actually expressed in Greek.[citation needed]
^"Greek and Latin words for numbers". AWE. Hull University.
^Lozac'h, N. (1983). "Extension of Rules A-1.1 and A-2.5 Concerning Numerical Terms used in Organic Chemical Nomenclature" (PDF). iupac.org. International Union of Pure and Applied Chemistry.
^"Naming Polygons and Polyhedra". The Math Forum. Drexel University.
^"Naming Polygons". The Math Forum. Drexel University.
^Most listed names for hundreds do not follow actual Greek number system.
NAMING POLYGONS
Benjamin Franklin Finkel, A Mathematical Solution Book Containing Systematic Solutions to Many of the Most Difficult Problems, 1888
December 27, 2022
list, polygons, geometry, polygon, traditionally, plane, figure, that, bounded, finite, chain, straight, line, segments, closing, loop, form, closed, chain, these, segments, called, edges, sides, points, where, edges, meet, polygon, vertices, singular, vertex,. 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 A pentagon is a five sided polygon A regular pentagon has 5 equal edges and 5 equal angles The word polygon comes from Late Latin polygōnum a noun from Greek polygwnon polygōnon polugōnon noun use of neuter of polygwnos 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 Contents 1 Greek numbers 2 Systematic polygon names 3 List of n gons by Greek numerical prefixes 4 See also 5 ReferencesGreek numbers EditPolygons are primarily named by prefixes from Ancient Greek numbers English Greek numbers 1 2 English cardinal number English ordinal number Greek cardinal number Greek ordinal numberone first heis fem mia neut hen protostwo second duo deuterosthree third treis tritosfour fourth tettares tetartosfive fifth pente pemptossix sixth hex hektosseven seventh hepta hebdomoseight eighth okto ogdoosnine ninth ennea enatosten tenth deka dekatoseleven eleventh hendeka hendekatostwelve twelfth dodeka dodekatosthirteen thirteenth triskaideka dekatotritosfourteen fourteenth tettareskaideka dekatotetartosfifteen fifteenth pentekaideka dekatopemptossixteen sixteenth hekkaideka dekatohektosseventeen seventeenth heptakaideka dekatohebdomoseighteen eighteenth oktokaideka dekatoogdoosnineteen nineteenth enneakaideka dekatoenatostwenty twentieth eikosi eikostostwenty one twenty first heiskaieikosi eikostoprotostwenty two twenty second duokaieikosi eikostodeuterostwenty three twenty third triskaieikosi eikostotritostwenty four twenty fourth tetterakaieikosi eikostotetartostwenty five twenty fifth pentekaieikosi eikostopemptostwenty six twenty sixth hekkaieikosi eikostohektostwenty seven twenty seventh heptakaieikosi eikostohebdomostwenty eight twenty eighth oktokaieikosi eikostoogdoostwenty nine twenty ninth enneakaieikosi eikostoenatosthirty thirtieth triakonta triakostosthirty one thirty first heiskaitriakonta triakostoprotosforty fortieth tessarakonta tessarakostosfifty fiftieth pentekonta pentekostossixty sixtieth hexekonta hexekostosseventy seventieth hebdomekonta hebdomekostoseighty eightieth ogdoekonta ogdoekostosninety ninetieth enenekonta enenekostoshundred hundredth hekaton hekatostoshundred and ten hundred and tenth dekakaihekaton hekatostodekatoshundred and twenty hundred and twentieth ikosikaihekaton hekatostoikostostwo hundred two hundredth diakosioi diakosiostosthree hundred three hundredth triakosioi triakosiostosfour hundred four hundredth tetrakosioi tetrakosiostosfive hundred five hundredth pentakosioi pentakosiostossix hundred six hundredth hexakosioi hexakosiostosseven hundred seven hundredth heptakosioi heptakosiostoseight hundred eight hundredth oktakosioi oktakosiostosnine hundred nine hundredth enneakosioi enneakosiostosthousand thousandth chilioi chiliostostwo thousand two thousandth dischilioi dischiliostosthree thousand three thousandth trischilioi trischiliostosfour thousand four thousandth tetrakischilioi tetrakischiliostosfive thousand five thousandth pentakischilioi pentakischiliostossix thousand six thousandth hexakischilioi hexakischiliostosseven thousand seven thousandth heptakischilioi heptakischiliostoseight thousand eight thousandth oktakischilioi oktakischiliostosnine thousand nine thousandth enneakischilioi enneakischiliostosten thousand ten thousandth myrioi myriastostwenty thousand twenty thousandth dismyrioi dismyriastosthirty thousand thirty thousandth trismyrioi trismyriastosforty thousand forty thousandth tetrakismyrioi tetrakismyriastosfifty thousand fifty thousandth pentakismyrioi pentakismyriastossixty thousand sixty thousandth hexakismyrioi hexakismyriastosseventy thousand seventy thousandth heptakismyrioi heptakismyriastoseighty thousand eighty thousandth oktakismyrioi oktakismyriastosninety thousand ninety thousandth enneakismyrioi enneakismyriastoshundred thousand hundred thousandth dekakismyrioi dekakismyriastostwo hundred thousand two hundred thousandth ikosakismyrioi ikosakismyriastosthree hundred thousand three hundred thousandth triakontakismyrioi triakontakismyriastosmillion millionth hekatontakismyrioi hekatontakismyriastostwo million two millionth diakosakismyrioi diakosakismyriastosthree million three millionth triakosakismyrioi triakosakismyriastosten million ten millionth chiliakismyrioi chiliakismyriastoshundred million hundred millionth myriakismyrioi myriakismyriastosSystematic polygon names EditTo 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 gon20 icosi icosa when 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 the names over 99 no longer correspond to how they are actually expressed in Greek citation needed Polygon names Ones Tens Twenties Thirties Hundreds10 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 List of n gons by Greek numerical prefixes EditList of n gon names 4 5 Sides Names1 henagon monogon2 digon bigon3 trigon triangle4 tetragon quadrilateral5 pentagon6 hexagon7 heptagon septagon8 octagon9 enneagon nonagon10 decagon11 hendecagon undecagon12 dodecagon13 tridecagon triskaidecagon14 tetradecagon tetrakaidecagon15 pentadecagon pentakaidecagon16 hexadecagon hexakaidecagon17 heptadecagon heptakaidecagon18 octadecagon octakaidecagon19 enneadecagon enneakaidecagon20 icosagon21 icosikaihenagon icosihenagon22 icosikaidigon icosidigon icosadigon23 icosikaitrigon icositrigon icosatrigon24 icosikaitetragon icositetragon icosatetragon25 icosikaipentagon icosipentagon icosapentagon26 icosikaihexagon icosihexagon icosahexagon27 icosikaiheptagon icosiheptagon icosaheptagon28 icosikaioctagon icosioctagon icosaoctagon29 icosikaienneagon icosienneagon icosaenneagon30 triacontagon31 triacontakaihenagon triacontahenagon tricontahenagon32 triacontakaidigon triacontadigon tricontadigon33 triacontakaitrigon triacontatrigon tricontatrigon34 triacontakaitetragon triacontatetragon tricontatetragon35 triacontakaipentagon triacontapentagon tricontapentagon36 triacontakaihexagon triacontahexagon tricontahexagon37 triacontakaiheptagon triacontaheptagon tricontaheptagon38 triacontakaioctagon triacontaoctagon tricontaoctagon39 triacontakaienneagon triacontaenneagon tricontaenneagon40 tetracontagon tessaracontagon41 tetracontakaihenagon tetracontahenagon tessaracontahenagon42 tetracontakaidigon tetracontadigon tessaracontadigon43 tetracontakaitrigon tetracontatrigon tessaracontatrigon44 tetracontakaitetragon tetracontatetragon tessaracontatetragon45 tetracontakaipentagon tetracontapentagon tessaracontapentagon46 tetracontakaihexagon tetracontahexagon tessaracontahexagon47 tetracontakaiheptagon tetracontaheptagon tessaracontaheptagon48 tetracontakaioctagon tetracontaoctagon tessaracontaoctagon49 tetracontakaienneagon tetracontaenneagon tessaracontaenneagon50 pentacontagon pentecontagon51 pentacontakaihenagon pentacontahenagon pentecontahenagon52 pentacontakaidigon pentacontadigon pentecontadigon53 pentacontakaitrigon pentacontatrigon pentecontatrigon54 pentacontakaitetragon pentacontatetragon pentecontatetragon55 pentacontakaipentagon pentacontapentagon pentecontapentagon56 pentacontakaihexagon pentacontahexagon pentecontahexagon57 pentacontakaiheptagon pentacontaheptagon pentecontaheptagon58 pentacontakaioctagon pentacontaoctagon pentecontaoctagon59 pentacontakaienneagon pentacontaenneagon pentecontaenneagon60 hexacontagon hexecontagon61 hexacontakaihenagon hexacontahenagon hexecontahenagon62 hexacontakaidigon hexacontadigon hexecontadigon63 hexacontakaitrigon hexacontatrigon hexecontatrigon64 hexacontakaitetragon hexacontatetragon hexecontatetragon65 hexacontakaipentagon hexacontapentagon hexecontapentagon66 hexacontakaihexagon hexacontahexagon hexecontahexagon67 hexacontakaiheptagon hexacontaheptagon hexecontaheptagon68 hexacontakaioctagon hexacontaoctagon hexecontaoctagon69 hexacontakaienneagon hexacontaenneagon hexecontaenneagon70 heptacontagon hebdomecontagon71 heptacontakaihenagon heptacontahenagon hebdomecontahenagon72 heptacontakaidigon heptacontadigon hebdomecontadigon73 heptacontakaitrigon heptacontatrigon hebdomecontatrigon74 heptacontakaitetragon heptacontatetragon hebdomecontatetragon75 heptacontakaipentagon heptacontapentagon hebdomecontapentagon76 heptacontakaihexagon heptacontahexagon hebdomecontahexagon77 heptacontakaiheptagon heptacontaheptagon hebdomecontaheptagon78 heptacontakaioctagon heptacontaoctagon hebdomecontaoctagon79 heptacontakaienneagon heptacontaenneagon hebdomecontaenneagon80 octacontagon ogdoecontagon81 octacontakaihenagon octacontahenagon ogdoecontahenagon82 octacontakaidigon octacontadigon ogdoecontadigon83 octacontakaitrigon octacontatrigon ogdoecontatrigon84 octacontakaitetragon octacontatetragon ogdoecontatetragon85 octacontakaipentagon octacontapentagon ogdoecontapentagon86 octacontakaihexagon octacontahexagon ogdoecontahexagon87 octacontakaiheptagon octacontaheptagon ogdoecontaheptagon88 octacontakaioctagon octacontaoctagon ogdoecontaoctagon89 octacontakaienneagon octacontaenneagon ogdoecontaenneagon90 enneacontagon enenecontagon91 enneacontakaihenagon enneacontahenagon enenecontahenagon92 enneacontakaidigon enneacontadigon enenecontadigon93 enneacontakaitrigon enneacontatrigon enenecontatrigon94 enneacontakaitetragon enneacontatetragon enenecontatetragon95 enneacontakaipentagon enneacontapentagon enenecontapentagon96 enneacontakaihexagon enneacontahexagon enenecontahexagon97 enneacontakaiheptagon enneacontaheptagon enenecontaheptagon98 enneacontakaioctagon enneacontaoctagon enenecontaoctagon99 enneacontakaienneagon enneacontaenneagon enenecontaenneagon100 hectogon hecatontagon hecatogon120 hecatonicosagon dodecacontagon200 dihectagon diacosigon300 trihectagon triacosigon400 tetrahectagon tetracosigon500 pentahectagon pentacosigon600 hexahectagon hexacosigon700 heptahectagon heptacosigon800 octahectagon octacosigon900 enneahectagon enacosigon1000 chiliagon2000 dischiliagon dichiliagon3000 trischiliagon trichiliagon4000 tetrakischiliagon tetrachiliagon5000 pentakischiliagon pentachiliagon6000 hexakischiliagon hexachiliagon7000 heptakischiliagon heptachiliagon8000 octakischiliagon octachiliagon9000 enneakischiliagon enneachilliagon10000 myriagon20000 dismyriagon dimyriagon30000 trismyriagon trimyriagon40000 tetrakismyriagon tetramyriagon50000 pentakismyriagon pentamyriagon60000 hexakismyriagon hexamyriagon65537 65537 gon70000 heptakismyriagon heptamyriagon80000 octakismyriagon octamyriagon90000 enneakismyriagon enneamyriagon100000 decakismyriagon decamyriagon200000 icosakismyriagon icosamyriagon300000 triacontakismyriagon tricontamyriagon400000 tetracontakismyriagon tetracontamyriagon500000 pentacontakismyriagon pentacontamyriagon600000 hexacontakismyriagon hexacontamyriagon700000 heptacontakismyriagon heptacontamyriagon800000 octacontakismyriagon octacontamyriagon900000 enneacontakismyriagon enneacontamyriagon1000 000 hecatontakismyriagon megagon2000 000 diacosakismyriagon dimegagon3000 000 triacosakismyriagon trimegagon4000 000 tetracosakismyriagon tetramegagon5000 000 pentacosakismyriagon pentamegagon6000 000 hexacosakismyriagon hexamegagon7000 000 heptacosakismyriagon heptamegagon8000 000 octacosakismyriagon octamegagon9000 000 enneacosakismyriagon enneamegagon10000 000 chiliakismyriagon decamegagon20000 000 dischiliakismyriagon icosamegagon30000 000 trischiliakismyriagon triacontamegagon40000 000 tetrakischiliakismyriagon tetracontamegagon50000 000 pentakischiliakismyriagon pentacontamegagon60000 000 hexakischiliakismyriagon hexacontamegagon70000 000 heptakischiliakismyriagon heptacontamegagon80000 000 octakischiliakismyriagon octacontamegagon90000 000 enneakischiliakismyriagon enneacontamegagon100000 000 myriakismyriagon hectamegagon1 000 000 000 Gigagon1 000 000 000 000 teragon1 000 000 000 000 000 petagon1 000 000 000 000 000 000 exagon1 000 000 000 000 000 000 000 zettagon1 000 000 000 000 000 000 000 000 yottagon1027 ronnagon1030 quettagon apeirogonSee also EditPlatonic solid Dice List of polygons polyhedra and polytopes Circle Ellipses polygon ShapesReferences Edit Greek and Latin words for numbers AWE Hull University Lozac h N 1983 Extension of Rules A 1 1 and A 2 5 Concerning Numerical Terms used in Organic Chemical Nomenclature PDF iupac org International Union of Pure and Applied Chemistry Naming Polygons and Polyhedra The Math Forum Drexel University Naming Polygons The Math Forum Drexel University Most listed names for hundreds do not follow actual Greek number system NAMING POLYGONS Benjamin Franklin Finkel A Mathematical Solution Book Containing Systematic Solutions to Many of the Most Difficult Problems 1888 Retrieved from https en wikipedia org w index php title List of polygons amp oldid 1129746559 List of n gons by Greek numerical prefixes, wikipedia, wiki, book, books, library,
