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.
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 cardinal number | English ordinal number | Greek cardinal number | Greek ordinal number |
---|---|---|---|
one | first | hena | protos |
two | second | dyo | deuteros |
three | third | tria | tritos |
four | fourth | tessera | tetartos |
five | fifth | pente | pemptos |
six | sixth | hexi | 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 | dekatria | dekatos tritos |
fourteen | fourteenth | dekatessera | dekatos tetartos |
fifteen | fifteenth | dekapente | dekatos pemptos |
sixteen | sixteenth | dekahexi | dekatos hektos |
seventeen | seventeenth | dekahepta | dekatos hebdomos |
eighteen | eighteenth | dekaokto | dekatos ogdoös |
nineteen | nineteenth | dekaennea | dekatos enatos |
twenty | twentieth | eikosi | eikostos |
twenty-one | twenty-first | eikosi hena | eikostos protos |
twenty-two | twenty-second | eikosi dyo | eikostos deuteros |
twenty-three | twenty-third | eikosi tria | eikostos tritos |
twenty-four | twenty-fourth | eikosi tessera | eikostos tetartos |
twenty-five | twenty-fifth | eikosi pente | eikostos pemptos |
twenty-six | twenty-sixth | eikosi hexi | eikostos hektos |
twenty-seven | twenty-seventh | eikosi hepta | eikostos hebdomos |
twenty-eight | twenty-eighth | eikosi okto | eikostos ogdoös |
twenty-nine | twenty-ninth | eikosi ennea | eikostos enatos |
thirty | thirtieth | trianta | triakostos |
thirty-one | thirty-first | trianta hena | triakostos protos |
thirty-two | thirty-second | trianta dyo | triakostos deuteros |
forty | fortieth | saranta | tessarakostos |
fifty | fiftieth | penenta | pentekostos |
sixty | sixtieth | hexenta | hexekostos |
seventy | seventieth | hebdomenta | hebdomekostos |
eighty | eightieth | ogdonta | ogdoëkostos |
ninety | ninetieth | enenenta | enenekostos |
hundred | hundredth | hekato | hekatostos |
hundred ten | hundred tenth | hekaton deka | hekatostos dekatos |
hundred twenty | hundred twentieth | hekaton eikosi | hekatostos eikostos |
two hundred | two hundredth | diakosia | diakosiostos |
three hundred | three hundredth | triakosia | triakosiostos |
four hundred | four hundredth | tetrakosia | tetrakosiostos |
five hundred | five hundredth | pentakosia | pentakosiostos |
six hundred | six hundredth | hexakosia | hexakosiostos |
seven hundred | seven hundredth | heptakosia | heptakosiostos |
eight hundred | eight hundredth | oktakosia | oktakosiostos |
nine hundred | nine hundredth | enneakosia | enneakosiostos |
thousand | thousandth | chilia | chiliostos |
two thousand | two thousandth | dyo chiliades | deuteros chiliostos |
three thousand | three thousandth | tria chiliades | tritos chiliostos |
four thousand | four thousandth | tessera chiliades | tetartos chiliostos |
five thousand | five thousandth | pente chiliades | pemptos chiliostos |
six thousand | six thousandth | hexi chiliades | hektos chiliostos |
seven thousand | seven thousandth | hepta chiliades | hebdomos chiliostos |
eight thousand | eight thousandth | okto chiliades | ogdoös chiliostos |
nine thousand | nine thousandth | ennea chiliades | enatos chiliostos |
ten thousand | ten thousandth | deka chiliades | dekatos chiliostos |
twenty thousand | twenty thousandth | eikosi chiliades | eikostos chiliostos |
thirty thousand | thirty thousandth | trianta chiliades | triakostos chiliostos |
forty thousand | forty thousandth | saranta chiliades | tessarakostos chiliostos |
fifty thousand | fifty thousandth | penenta chiliades | pentekostos chiliostos |
sixty thousand | sixty thousandth | hexenta chiliades | hexekostos chiliostos |
seventy thousand | seventy thousandth | hebdomenta chiliades | hebdomekostos chiliostos |
eighty thousand | eighty thousandth | ogdonta chiliades | ogdoëkostos chiliostos |
ninety thousand | ninety thousandth | enenenta chiliades | enenekostos chiliostos |
hundred thousand | hundred thousandth | hekato chiliades | hekatostos chiliostos |
two hundred thousand | two hundred thousandth | diakosia chiliades | diakosiostos chiliostos |
three hundred thousand | three hundred thousandth | triakosia chiliades | triakosiostos chiliostos |
million | millionth | chilia chiliades | chiliostos 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 | ||
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]
Ones | Tens | Twenties | Thirties+ | Hundreds | |||||
---|---|---|---|---|---|---|---|---|---|
10 | deca- | 20 | icosa- | 30 | triaconta- | 100 | hecta- | ||
1 | hena- | 11 | hendeca- | 21 | icosi-hena- | 31 | triaconta-hena- | 200 | dihecta- |
2 | di- | 12 | dodeca- | 22 | icosi-di- | 32 | triaconta-di- | 300 | trihecta- |
3 | tri- | 13 | trideca- | 23 | icosi-tri- | 33 | triaconta-tri- | 400 | tetrahecta- |
4 | tetra- | 14 | tetradeca- | 24 | icosi-tetra- | 40 | tetraconta- | 500 | pentahecta- |
5 | penta- | 15 | pentadeca- | 25 | icosi-penta- | 50 | pentaconta- | 600 | hexahecta- |
6 | hexa- | 16 | hexadeca- | 26 | icosi-hexa- | 60 | hexaconta- | 700 | heptahecta- |
7 | hepta- | 17 | heptadeca- | 27 | icosi-hepta- | 70 | heptaconta- | 800 | octahecta- |
8 | octa- | 18 | octadeca- | 28 | icosi-octa- | 80 | octaconta- | 900 | enneahecta- |
9 | ennea- | 19 | enneadeca- | 29 | icosi-ennea- | 90 | enneaconta- |
List of n-gons by Greek numerical prefixes
Sides | Names | |||
---|---|---|---|---|
1 | henagon | monogon | ||
2 | digon | |||
3 | trigon | triangle | ||
4 | tetragon | quadrilateral | ||
5 | pentagon | |||
6 | hexagon | |||
7 | heptagon | |||
8 | octagon | |||
9 | enneagon | nonagon | ||
10 | decagon | |||
11 | hendecagon | |||
12 | dodecagon | |||
13 | tridecagon | |||
14 | tetradecagon | |||
15 | pentadecagon | |||
16 | hexadecagon | |||
17 | heptadecagon | |||
18 | octadecagon | |||
19 | enneadecagon | |||
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 | diacosiagon | ||
300 | trihectagon | triacosiagon | ||
400 | tetrahectagon | tetracosiagon | ||
500 | pentahectagon | pentacosiagon | ||
600 | hexahectagon | hexacosiagon | ||
700 | heptahectagon | heptacosiagon | ||
800 | octahectagon | octacosiagon | ||
900 | enneahectagon | enneacosiagon | ||
1000 | chiliagon | |||
2000 | dichiliagon | |||
3000 | trichiliagon | |||
4000 | tetrachiliagon | |||
5000 | pentachiliagon | |||
6000 | hexachiliagon | |||
7000 | heptachiliagon | |||
8000 | octachiliagon | |||
9000 | enneachiliagon | |||
10000 | decachiliagon | myriagon | ||
20000 | icosachiliagon | |||
30000 | triacontachiliagon | |||
40000 | tetracontachiliagon | |||
50000 | pentacontachiliagon | |||
60000 | hexacontachiliagon | |||
70000 | heptacontachiliagon | |||
80000 | octacontachiliagon | |||
90000 | enneacontachiliagon | |||
100000 | hecatochiliagon | |||
200000 | diacosiachiliagon | |||
300000 | triacosiachiliagon | |||
1000000 | hecatommyriagon | megagon | ||
∞ | apeirogon |
See also
References
- "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.
- NAMING POLYGONS
- Benjamin Franklin Finkel, A Mathematical Solution Book Containing Systematic Solutions to Many of the Most Difficult Problems, 1888