List of polygons

In geometry, a polygon /ˈpɒlɪɡɒn/ 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 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 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.

Greek numbers

Polygons are always named by prefixes from Greek numbers.

English-Greek numbers[1][2]
English cardinal numberEnglish ordinal numberGreek cardinal numberGreek ordinal number
onefirsthenaprotos
twoseconddyodeuteros
threethirdtriatritos
fourfourthtesseratetartos
fivefifthpentepemptos
sixsixthhexihektos
sevenseventhheptahebdomos
eighteighthoktoogdoös
nineninthenneaenatos
tententhdekadekatos
eleveneleventhhendekahendekatos
twelvetwelfthdodekadodekatos
thirteenthirteenthdekatriadekatos tritos
fourteenfourteenthdekatesseradekatos tetartos
fifteenfifteenthdekapentedekatos pemptos
sixteensixteenthdekahexidekatos hektos
seventeenseventeenthdekaheptadekatos hebdomos
eighteeneighteenthdekaoktodekatos ogdoös
nineteennineteenthdekaenneadekatos enatos
twentytwentietheikosieikostos
twenty-onetwenty-firsteikosi henaeikostos protos
twenty-twotwenty-secondeikosi dyoeikostos deuteros
twenty-threetwenty-thirdeikosi triaeikostos tritos
twenty-fourtwenty-fourtheikosi tesseraeikostos tetartos
twenty-fivetwenty-fiftheikosi penteeikostos pemptos
twenty-sixtwenty-sixtheikosi hexieikostos hektos
twenty-seventwenty-seventheikosi heptaeikostos hebdomos
twenty-eighttwenty-eightheikosi oktoeikostos ogdoös
twenty-ninetwenty-nintheikosi enneaeikostos enatos
thirtythirtiethtriantatriakostos
thirty-onethirty-firsttrianta henatriakostos protos
thirty-twothirty-secondtrianta dyotriakostos deuteros
fortyfortiethsarantatessarakostos
fiftyfiftiethpenentapentekostos
sixtysixtiethhexentahexekostos
seventyseventiethhebdomentahebdomekostos
eightyeightiethogdontaogdoëkostos
ninetyninetiethenenentaenenekostos
hundredhundredthhekatohekatostos
hundred tenhundred tenthhekaton dekahekatostos dekatos
hundred twentyhundred twentiethhekaton eikosihekatostos eikostos
two hundredtwo hundredthdiakosiadiakosiostos
three hundredthree hundredthtriakosiatriakosiostos
four hundredfour hundredthtetrakosiatetrakosiostos
five hundredfive hundredthpentakosiapentakosiostos
six hundredsix hundredthhexakosiahexakosiostos
seven hundredseven hundredthheptakosiaheptakosiostos
eight hundredeight hundredthoktakosiaoktakosiostos
nine hundrednine hundredthenneakosiaenneakosiostos
thousandthousandthchiliachiliostos
two thousandtwo thousandthdyo chiliadesdeuteros chiliostos
three thousandthree thousandthtria chiliadestritos chiliostos
four thousandfour thousandthtessera chiliadestetartos chiliostos
five thousandfive thousandthpente chiliadespemptos chiliostos
six thousandsix thousandthhexi chiliadeshektos chiliostos
seven thousandseven thousandthhepta chiliadeshebdomos chiliostos
eight thousandeight thousandthokto chiliadesogdoös chiliostos
nine thousandnine thousandthennea chiliadesenatos chiliostos
ten thousandten thousandthdeka chiliadesdekatos chiliostos
twenty thousandtwenty thousandtheikosi chiliadeseikostos chiliostos
thirty thousandthirty thousandthtrianta chiliadestriakostos chiliostos
forty thousandforty thousandthsaranta chiliadestessarakostos chiliostos
fifty thousandfifty thousandthpenenta chiliadespentekostos chiliostos
sixty thousandsixty thousandthhexenta chiliadeshexekostos chiliostos
seventy thousandseventy thousandthhebdomenta chiliadeshebdomekostos chiliostos
eighty thousandeighty thousandthogdonta chiliadesogdoëkostos chiliostos
ninety thousandninety thousandthenenenta chiliadesenenekostos chiliostos
hundred thousandhundred thousandthhekato chiliadeshekatostos chiliostos
two hundred thousandtwo hundred thousandthdiakosia chiliadesdiakosiostos chiliostos
three hundred thousandthree hundred thousandthtriakosia chiliadestriakosiostos chiliostos
millionmillionthchilia chiliadeschiliostos chiliostos

Systematic polygon names

To construct the name of a polygon with more than 20 and fewer than 100 edges, combine the prefixes as follows.

Tens Ones final suffix
1 -hena- -gon
20icosi- (icosa- when alone)2-di-
30triaconta-3-tri-
40tetraconta- 4-tetra-
50pentaconta-5-penta-
60hexaconta-6-hexa-
70heptaconta-7-hepta-
80octaconta-8-octa-
90enneaconta-9-ennea-

Extending the system up to 999 is expressed with these prefixes.[3]

Polygon names
OnesTensTwentiesThirties+Hundreds
10deca-20icosa-30triaconta-100hecta-
1hena-11hendeca-21icosi-hena-31triaconta-hena-200dihecta-
2di-12dodeca-22icosi-di-32triaconta-di-300trihecta-
3tri-13trideca-23icosi-tri-33triaconta-tri-400tetrahecta-
4tetra-14tetradeca-24icosi-tetra-40tetraconta-500pentahecta-
5penta-15pentadeca-25icosi-penta-50pentaconta-600hexahecta-
6hexa-16hexadeca-26icosi-hexa-60hexaconta-700heptahecta-
7hepta-17heptadeca-27icosi-hepta-70heptaconta-800octahecta-
8octa-18octadeca-28icosi-octa-80octaconta-900enneahecta-
9ennea-19enneadeca-29icosi-ennea-90enneaconta-

List of n-gons by Greek numerical prefixes

List of n-gon names [4]
Sides Names
1henagonmonogon
2digon
3trigontriangle
4tetragonquadrilateral
5pentagon
6hexagon
7heptagon
8octagon
9enneagonnonagon
10decagon
11hendecagon
12dodecagon
13tridecagon
14tetradecagon
15pentadecagon
16hexadecagon
17heptadecagon
18octadecagon
19enneadecagon
20icosagon
21icosikaihenagonicosihenagon
22icosikaidigonicosidigonicosadigon
23icosikaitrigonicositrigonicosatrigon
24icosikaitetragonicositetragonicosatetragon
25icosikaipentagonicosipentagonicosapentagon
26icosikaihexagonicosihexagonicosahexagon
27icosikaiheptagonicosiheptagonicosaheptagon
28icosikaioctagonicosioctagonicosaoctagon
29icosikaienneagonicosienneagonicosaenneagon
30triacontagon
31triacontakaihenagontriacontahenagontricontahenagon
32triacontakaidigontriacontadigontricontadigon
33triacontakaitrigontriacontatrigontricontatrigon
34triacontakaitetragontriacontatetragontricontatetragon
35triacontakaipentagontriacontapentagontricontapentagon
36triacontakaihexagontriacontahexagontricontahexagon
37triacontakaiheptagontriacontaheptagontricontaheptagon
38triacontakaioctagontriacontaoctagontricontaoctagon
39triacontakaienneagontriacontaenneagontricontaenneagon
40tetracontagontessaracontagon
41tetracontakaihenagontetracontahenagontessaracontahenagon
42tetracontakaidigontetracontadigontessaracontadigon
43tetracontakaitrigontetracontatrigontessaracontatrigon
44tetracontakaitetragontetracontatetragontessaracontatetragon
45tetracontakaipentagontetracontapentagontessaracontapentagon
46tetracontakaihexagontetracontahexagontessaracontahexagon
47tetracontakaiheptagontetracontaheptagontessaracontaheptagon
48tetracontakaioctagontetracontaoctagontessaracontaoctagon
49tetracontakaienneagontetracontaenneagontessaracontaenneagon
50pentacontagonpentecontagon
51pentacontakaihenagonpentacontahenagonpentecontahenagon
52pentacontakaidigonpentacontadigonpentecontadigon
53pentacontakaitrigonpentacontatrigonpentecontatrigon
54pentacontakaitetragonpentacontatetragonpentecontatetragon
55pentacontakaipentagonpentacontapentagonpentecontapentagon
56pentacontakaihexagonpentacontahexagonpentecontahexagon
57pentacontakaiheptagonpentacontaheptagonpentecontaheptagon
58pentacontakaioctagonpentacontaoctagonpentecontaoctagon
59pentacontakaienneagonpentacontaenneagonpentecontaenneagon
60hexacontagonhexecontagon
61hexacontakaihenagonhexacontahenagonhexecontahenagon
62hexacontakaidigonhexacontadigonhexecontadigon
63hexacontakaitrigonhexacontatrigonhexecontatrigon
64hexacontakaitetragonhexacontatetragonhexecontatetragon
65hexacontakaipentagonhexacontapentagonhexecontapentagon
66hexacontakaihexagonhexacontahexagonhexecontahexagon
67hexacontakaiheptagonhexacontaheptagonhexecontaheptagon
68hexacontakaioctagonhexacontaoctagonhexecontaoctagon
69hexacontakaienneagonhexacontaenneagonhexecontaenneagon
70heptacontagonhebdomecontagon
71heptacontakaihenagonheptacontahenagonhebdomecontahenagon
72heptacontakaidigonheptacontadigonhebdomecontadigon
73heptacontakaitrigonheptacontatrigonhebdomecontatrigon
74heptacontakaitetragonheptacontatetragonhebdomecontatetragon
75heptacontakaipentagonheptacontapentagonhebdomecontapentagon
76heptacontakaihexagonheptacontahexagonhebdomecontahexagon
77heptacontakaiheptagonheptacontaheptagonhebdomecontaheptagon
78heptacontakaioctagonheptacontaoctagonhebdomecontaoctagon
79heptacontakaienneagonheptacontaenneagonhebdomecontaenneagon
80octacontagonogdoecontagon
81octacontakaihenagonoctacontahenagonogdoecontahenagon
82octacontakaidigonoctacontadigonogdoecontadigon
83octacontakaitrigonoctacontatrigonogdoecontatrigon
84octacontakaitetragonoctacontatetragonogdoecontatetragon
85octacontakaipentagonoctacontapentagonogdoecontapentagon
86octacontakaihexagonoctacontahexagonogdoecontahexagon
87octacontakaiheptagonoctacontaheptagonogdoecontaheptagon
88octacontakaioctagonoctacontaoctagonogdoecontaoctagon
89octacontakaienneagonoctacontaenneagonogdoecontaenneagon
90enneacontagonenenecontagon
91enneacontakaihenagonenneacontahenagonenenecontahenagon
92enneacontakaidigonenneacontadigonenenecontadigon
93enneacontakaitrigonenneacontatrigonenenecontatrigon
94enneacontakaitetragonenneacontatetragonenenecontatetragon
95enneacontakaipentagonenneacontapentagonenenecontapentagon
96enneacontakaihexagonenneacontahexagonenenecontahexagon
97enneacontakaiheptagonenneacontaheptagonenenecontaheptagon
98enneacontakaioctagonenneacontaoctagonenenecontaoctagon
99enneacontakaienneagonenneacontaenneagonenenecontaenneagon
100hectogonhecatontagonhecatogon
120hecatonicosagondodecacontagon
200dihectagondiacosiagon
300trihectagontriacosiagon
400tetrahectagontetracosiagon
500pentahectagonpentacosiagon
600hexahectagonhexacosiagon
700heptahectagonheptacosiagon
800octahectagonoctacosiagon
900enneahectagonenneacosiagon
1000chiliagon
2000dichiliagon
3000trichiliagon
4000tetrachiliagon
5000pentachiliagon
6000hexachiliagon
7000heptachiliagon
8000octachiliagon
9000enneachiliagon
10000decachiliagonmyriagon
20000icosachiliagon
30000triacontachiliagon
40000tetracontachiliagon
50000pentacontachiliagon
60000hexacontachiliagon
70000heptacontachiliagon
80000octacontachiliagon
90000enneacontachiliagon
100000hecatochiliagon
200000diacosiachiliagon
300000triacosiachiliagon
1000000hecatommyriagonmegagon
apeirogon

See also

References

  1. "Greek and Latin words for numbers". AWE. Hull University.
  2. 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.
  3. "Naming Polygons and Polyhedra". The Math Forum. Drexel University.
  4. "Naming Polygons". The Math Forum. Drexel University.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.