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Sure! A 100-sided polygon is called a hectagon. The internal angles of a hectagon add up to 17640 degrees. The formula to calculate the sum of the interior angles of a polygon is (n-2) * 180, where n is the number of sides.
Here is an excerpt from John Conway, a very famous mathematician in which he describes how he names the regular polygons.Conway says:"Antreas Hatzipolakis and I worked out a complete system up to the millions from which this is taken, and which has also been "vetted" by several other scholars. The most important of the reasons which make me prefer the "Kai" forms is that they permit these prefixes to be unambiguously parsed even when concatenated, as they are in Kepler's names for certain polyhedra; for example, the icosidodecahedron or (20,12)-hedron, so called because it has 20 faces of one type and 12 of another. Kepler said "this particular triacontakaidihedron I call the icosidodecahedron", a remark showing that he also preferred the Kai forms." Now using this we have: 1 monogon 2 digon 3 trigon, triangle 4 tetragon, quadrilateral 5 pentagon 6 hexagon 7 heptagon 8 octagon 9 enneagon 10 decagon 11 hendecagon 12 dodecagon 13 triskaidecagon 14 tetrakaidecagon, tetradecagon 15 pentakaidecagon, pentadecagon 16 hexakaidecagon, hexadecagon 17 heptakaidecagon 18 octakaidecagon 19 enneakaidecagon 20 icosagon 21 icosikaihenagon, icosihenagon 22 icosikaidigon 23 icosikaitrigon 24 icosikaitetragon 25 icosikaipentagon 26 icosikaihexagon 27 icosikaiheptagon 28 icosikaioctagon 29 icosikaienneagon 30 triacontagon 31 triacontakaihenagon 32 triacontakaidigon 33 triacontakaitrigon 34 triacontakaitetragon 35 triacontakaipentagon 36 triacontakaihexagon 37 triacontakaiheptagon 38 triacontakaioctagon 39 triacontakaienneagon 40 tetracontagon 41 tetracontakaihenagon 42 tetracontakaidigon 43 tetracontakaitrigon 44 tetracontakaitetragon 45 tetracontakaipentagon 46 tetracontakaihexagon 47 tetracontakaiheptagon 48 tetracontakaioctagon 49 tetracontakaienneagon 50 pentacontagon ... 60 hexacontagon ... 70 heptacontagon ... 80 octacontagon ... 90 enneacontagon ... 100 hectogon, hecatontagon 1000 chiliagon 10000 myriagon The "gon" has an interesting etymology: it is ultimately derived from the Greek word "gonu" for "knee", which they transferred to "angle". This word goes straight back to the Indo-European, and is essentially the same in lots of languages: gonu (Greek) genu (Latin) k nee (English) Having said this, if you cannot remember the term, it is safe to use the natural number, n and say an n-gon. So 32 sided polygon can be called a 32-gon and this terminology is widely used and understood among mathematicians. It is very nice to use the correct word, however, often times the price of using it is that many people do not understand what you mean.
Triacontakaiheptagon
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Each angle would be 170.27027 degrees. The total sum of all interior angles is 6300 degrees. This shape is called a triacontakaiheptagon.
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Sure, here's a list of polygons from 3 to 100 sides: Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Hendecagon Dodecagon Tridecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon Icosikaihenagon Icosikaidigon Icosikaitrigon Icosikaitetragon Icosikaipentagon Icosikaihexagon Icosikaiheptagon Icosikaioctagon Icosikaienneagon Triacontagon Triacontakaihenagon Triacontakaidigon Triacontakaitrigon Triacontakaitetragon Triacontakaipentagon Triacontakaihexagon Triacontakaiheptagon Triacontakaioctagon Triacontakaienneagon Tetracontagon Tetracontakaihenagon Tetracontakaidigon Tetracontakaitrigon Tetracontakaitetragon Tetracontakaipentagon Tetracontakaihexagon Tetracontakaiheptagon Tetracontakaioctagon Tetracontakaienneagon Pentacontagon Pentacontakaihenagon Pentacontakaidigon Pentacontakaitrigon Pentacontakaitetragon Pentacontakaipentagon Pentacontakaihexagon Pentacontakaiheptagon Pentacontakaioctagon Pentacontakaienneagon Hexacontagon Hexacontakaihenagon Hexacontakaidigon Hexacontakaitrigon Hexacontakaitetragon Hexacontakaipentagon Hexacontakaihexagon Hexacontakaiheptagon Hexacontakaioctagon Hexacontakaienneagon Heptacontagon Heptacontakaihenagon Heptacontakaidigon Heptacontakaitrigon Heptacontakaitetragon Heptacontakaipentagon Heptacontakaihexagon Heptacontakaiheptagon Heptacontakaioctagon Heptacontakaienneagon Octacontagon Octacontakaihenagon Octacontakaidigon Octacontakaitrigon Octacontakaitetragon Octacontakaipentagon Octacontakaihexagon Octacontakaiheptagon Octacontakaioctagon Octacontakaienneagon Enneacontagon Enneacontakaihenagon Enneacontakaidigon Enneacontakaitrigon Enneacontakaitetragon Enneacontakaipentagon Enneacontakaihexagon Enneacontakaiheptagon Enneacontakaioctagon Enneacontakaienneagon Hectagon These are the names of polygons with sides ranging from 3 to 100.
30 triacontagon --- 3 Triangle 4 Quadrilateral 5 pentagon 6 hexagon 7 heptagon septagon 8 octagon 9 nonagon 10 decagon 11 elocagon 12 dodecagon 13 Tridecagon 14 tetrakaidecagon, tetradecagon 15 pentakaidecagon, pentadecagon 16 hexakaidecagon, hexadecagon 17 heptakaidecagon 18 octakaidecagon 19 enneakaidecagon 20 icosagon 21 icosikaihenagon, icosihenagon 22 icosikaidigon 23 icosikaitrigon 24 icosikaitetragon 25 icosikaipentagon 26 icosikaihexagon 27 icosikaiheptagon 28 icosikaioctagon 29 icosikaienneagon 30 triacontagon 31 triacontakaihenagon 32 triacontakaidigon 33 triacontakaitrigon 34 triacontakaitetragon 35 triacontakaipentagon 36 triacontakaihexagon 37 triacontakaiheptagon 38 triacontakaioctagon 39 triacontakaienneagon 40 tetracontagon 41 tetracontakaihenagon 42 tetracontakaidigon 43 tetracontakaitrigon 44 tetracontakaitetragon 45 tetracontakaipentagon 46 tetracontakaihexagon 47 tetracontakaiheptagon 48 tetracontakaioctagon 49 tetracontakaienneagon 50 pentacontagon ... 60 hexacontagon ... 70 heptacontagon ... 80 octacontagon ... 90 enneacontagon ... 100 hectogon, hecatontagon 1000 chiliagon 10000 myriagon
1 monogon (Monogon and digon can only 2 digon be used in rather special 3 trigon, triangle circumstances. Trigon and 4 tetragon, quadrilateral tetragon are alternatives to 5 pentagon triangle and quadrilateral; 6 hexagon the adjectival forms trigonal 7 heptagon and tetragonal are more common.) 8 octagon 9 enneagon 10 decagon 11 hendecagon 12 dodecagon 13 triskaidecagon 14 tetrakaidecagon, tetradecagon 15 pentakaidecagon, pentadecagon 16 hexakaidecagon, hexadecagon 17 heptakaidecagon 18 octakaidecagon 19 enneakaidecagon 20 icosagon 21 icosikaihenagon, icosihenagon 22 icosikaidigon 23 icosikaitrigon 24 icosikaitetragon 25 icosikaipentagon 26 icosikaihexagon 27 icosikaiheptagon 28 icosikaioctagon 29 icosikaienneagon 30 triacontagon 31 triacontakaihenagon 32 triacontakaidigon 33 triacontakaitrigon 34 triacontakaitetragon 35 triacontakaipentagon 36 triacontakaihexagon 37 triacontakaiheptagon 38 triacontakaioctagon 39 triacontakaienneagon 40 tetracontagon 41 tetracontakaihenagon 42 tetracontakaidigon 43 tetracontakaitrigon 44 tetracontakaitetragon 45 tetracontakaipentagon 46 tetracontakaihexagon 47 tetracontakaiheptagon 48 tetracontakaioctagon 49 tetracontakaienneagon 50 pentacontagon ... 60 hexacontagon ... 70 heptacontagon ... 80 octacontagon ... 90 enneacontagon ... 100 hectogon, hecatontagon
Sure! A 100-sided polygon is called a hectagon. The internal angles of a hectagon add up to 17640 degrees. The formula to calculate the sum of the interior angles of a polygon is (n-2) * 180, where n is the number of sides.
Here is an excerpt from John Conway, a very famous mathematician in which he describes how he names the regular polygons.Conway says:"Antreas Hatzipolakis and I worked out a complete system up to the millions from which this is taken, and which has also been "vetted" by several other scholars. The most important of the reasons which make me prefer the "Kai" forms is that they permit these prefixes to be unambiguously parsed even when concatenated, as they are in Kepler's names for certain polyhedra; for example, the icosidodecahedron or (20,12)-hedron, so called because it has 20 faces of one type and 12 of another. Kepler said "this particular triacontakaidihedron I call the icosidodecahedron", a remark showing that he also preferred the Kai forms." Now using this we have: 1 monogon 2 digon 3 trigon, triangle 4 tetragon, quadrilateral 5 pentagon 6 hexagon 7 heptagon 8 octagon 9 enneagon 10 decagon 11 hendecagon 12 dodecagon 13 triskaidecagon 14 tetrakaidecagon, tetradecagon 15 pentakaidecagon, pentadecagon 16 hexakaidecagon, hexadecagon 17 heptakaidecagon 18 octakaidecagon 19 enneakaidecagon 20 icosagon 21 icosikaihenagon, icosihenagon 22 icosikaidigon 23 icosikaitrigon 24 icosikaitetragon 25 icosikaipentagon 26 icosikaihexagon 27 icosikaiheptagon 28 icosikaioctagon 29 icosikaienneagon 30 triacontagon 31 triacontakaihenagon 32 triacontakaidigon 33 triacontakaitrigon 34 triacontakaitetragon 35 triacontakaipentagon 36 triacontakaihexagon 37 triacontakaiheptagon 38 triacontakaioctagon 39 triacontakaienneagon 40 tetracontagon 41 tetracontakaihenagon 42 tetracontakaidigon 43 tetracontakaitrigon 44 tetracontakaitetragon 45 tetracontakaipentagon 46 tetracontakaihexagon 47 tetracontakaiheptagon 48 tetracontakaioctagon 49 tetracontakaienneagon 50 pentacontagon ... 60 hexacontagon ... 70 heptacontagon ... 80 octacontagon ... 90 enneacontagon ... 100 hectogon, hecatontagon 1000 chiliagon 10000 myriagon The "gon" has an interesting etymology: it is ultimately derived from the Greek word "gonu" for "knee", which they transferred to "angle". This word goes straight back to the Indo-European, and is essentially the same in lots of languages: gonu (Greek) genu (Latin) k nee (English) Having said this, if you cannot remember the term, it is safe to use the natural number, n and say an n-gon. So 32 sided polygon can be called a 32-gon and this terminology is widely used and understood among mathematicians. It is very nice to use the correct word, however, often times the price of using it is that many people do not understand what you mean.