List of polygons

Short description: none

A pentagon is a five-sided polygon. A regular pentagon has 5 equal edges and 5 equal angles.

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),[citation needed] 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.

## Contents

* 1 Greek numbers
* 2 Systematic polygon names
* 3 List of n-gons by Greek numerical prefixes
* 4 See also
* 5 Notes
* 6 References

## Greek numbers

Polygons 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 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

## Systematic polygon names

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]

Polygon names  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-

## List of n-gons by Greek numerical prefixes

List of n-gon names[4][5] Sides  | Names

|

1 | henagon | monogon
2 | digon | bigon
3 | trigon | triangle
4 | tetragon[lower-alpha 1] | 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[7]
1000000000000 |  | teragon
1000000000000000 |  | petagon
∞ | apeirogon |

## See also

* Platonic solid
* Dice
* List of polygons, polyhedra and polytopes
* Circle
* Ellipse
* Shape

## Notes

1. ↑ In Greek usage, τετράγωνον (romanised: tetragōnon) means square instead of quardrilateral.[6]

## References

1. ↑ "Greek and Latin words for numbers". Hull University. http://hull-awe.org.uk/index.php?title=Greek_and_Latin_words_for_numbers.
2. ↑ Lozac'h, N. (1983). "Extension of Rules A-1.1 and A-2.5 Concerning Numerical Terms used in Organic Chemical Nomenclature". International Union of Pure and Applied Chemistry. https://www.iupac.org/publications/pac/pdf/1983/pdf/5509x1463.pdf.
3. ↑ "Naming Polygons and Polyhedra". Drexel University. http://mathforum.org/dr.math/faq/faq.polygon.names.html.
4. ↑ "Naming Polygons". Drexel University. http://mathforum.org/library/drmath/view/57666.html.
5. ↑ Most listed names for hundreds do not follow actual Greek number system.
6. ↑ Euclid's Elements, Book I, Definition 22. "Τῶν δὲ τετραπλεύρων σχημάτων τετράγωνον μέν ἐστιν, ὃ ἰσόπλευρόν τέ ἐστι καὶ ὀρθογώνιον" Translated as "Of quadrilateral figures, a square is that which is both equilateral and right-angled" by David E. Joyce in Definition 22.
7. ↑ Gibilisco, Stan (2003). Geometry demystified (Online ed.). New York: McGraw-Hill. p. 60. ISBN 978-0-07-141650-4. https://archive.org/details/geometrydemystif00stan.

* NAMING POLYGONS
* Benjamin Franklin Finkel, A Mathematical Solution Book Containing Systematic Solutions to Many of the Most Difficult Problems, 1888

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Polygons (List)

Triangles|

* Acute
* Equilateral
* Ideal
* Isosceles
* Obtuse
* Right

Quadrilaterals|

* Antiparallelogram
* Bicentric
* Cyclic
* Equidiagonal
* Ex-tangential
* Harmonic
* Isosceles trapezoid
* Kite
* Lambert
* Orthodiagonal
* Parallelogram
* Rectangle
* Right kite
* Rhombus
* Saccheri
* Square
* Tangential
* Tangential trapezoid
* Trapezoid

By number of sides|

* Monogon (1)
* Digon (2)
* Triangle (3)
* Quadrilateral (4)
* Pentagon (5)
* Hexagon (6)
* Heptagon (7)
* Octagon (8)
* Nonagon (Enneagon, 9)
* Decagon (10)
* Hendecagon (11)
* Dodecagon (12)
* Tridecagon (13)
* Tetradecagon (14)
* Pentadecagon (15)
* Hexadecagon (16)
* Heptadecagon (17)
* Octadecagon (18)
* Enneadecagon (19)
* Icosagon (20)
* Icosidigon (22)
* Icositetragon (24)
* Icosihexagon (26)
* Icosioctagon (28)
* Triacontagon (30)
* Triacontadigon (32)
* Triacontatetragon (34)
* Tetracontagon (40)
* Tetracontadigon (42)
* Tetracontaoctagon (48)
* Pentacontagon (50)
* Hexacontagon (60)
* Hexacontatetragon (64)
* Heptacontagon (70)
* Octacontagon (80)
* Enneacontagon (90)
* Enneacontahexagon (96)
* Hectogon (100)
* 120-gon
* 257-gon
* 360-gon
* Chiliagon (1000)
* Myriagon (10000)
* 65537-gon
* Megagon (1000000)
* Apeirogon (∞)

Star polygons

* Pentagram
* Hexagram
* Heptagram
* Octagram
* Enneagram
* Decagram
* Hendecagram
* Dodecagram

Classes|

* Concave
* Convex
* Cyclic
* Equiangular
* Equilateral
* Isogonal
* Isotoxal
* Pseudotriangle
* Regular
* Simple
* Skew
* Star-shaped
* Tangential

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