A monogon (more commonly called the Henagon) is a one-sided polygon. In Euclidean Geometry, (on a flat plane) it is considered a impossible because lines continue on forever. In Spherical Geometry, [on a spherical (circular) plane] a finite monogon can be drawn by placing a placing a single vertex on a circle because circles are basically a polygon with infinite sides.
henagon (or monogon)* * * * * A pentadecagon. But I prefer 15-gon since it is obvious what that means - without reference to a dictionary.
Names of Polygons1 monogon (Monogon and digon can only2 digon be used in rather special3 trigon, triangle circumstances. Trigon and4 tetragon, quadrilateral tetragon are alternatives to5 pentagon triangle and quadrilateral;6 hexagon the adjectival forms trigonal7 heptagon and tetragonal are more common.)8 octagon9 enneagon10 decagon11 hendecagon12 dodecagon13 triskaidecagon14 tetrakaidecagon, tetradecagon15 pentakaidecagon, pentadecagon16 hexakaidecagon, hexadecagon17 heptakaidecagon18 octakaidecagon19 enneakaidecagon20 icosagon21 icosikaihenagon, icosihenagon22 icosikaidigon23 icosikaitrigon24 icosikaitetragon25 icosikaipentagon26 icosikaihexagon27 icosikaiheptagon28 icosikaioctagon29 icosikaienneagon30 triacontagon31 triacontakaihenagon32 triacontakaidigon33 triacontakaitrigon34 triacontakaitetragon35 triacontakaipentagon36 triacontakaihexagon37 triacontakaiheptagon38 triacontakaioctagon39 triacontakaienneagon40 tetracontagon41 tetracontakaihenagon42 tetracontakaidigon43 tetracontakaitrigon44 tetracontakaitetragon45 tetracontakaipentagon46 tetracontakaihexagon47 tetracontakaiheptagon48 tetracontakaioctagon49 tetracontakaienneagon50 pentacontagon ...60 hexacontagon ...70 heptacontagon ...80 octacontagon ...90 enneacontagon ...100 hectogon, hecatontagon1000 chiliagon10000 myriagon
Ingeometry a henagon (or monogon) is a polygon with one edge and one vertex. It has Schläfli symbol {1}. Since a henagon has only one side and only one interior angle, every henagon is regular by definition. In Euclidean geometry, a henagon is usually considered to be an impossible object, because its single edge would extend to infinity. However, in spherical geometry a finite henagon can be drawn by placing a single vertex anywhere on a great circle. Two henagons can be used to construct a dihedron on a sphere, with Schläfli symbol, {1,2}.
Although a polygon is usually thought of as a two-dimensional figure with at least three sides, there is nothing in the definition of a polygon that prohibits its use for the classification of a one-sided figure. A one-sided figure is known as a henagon or a monogon. A polygon, by definition, has as many vertices as it has sides, so a single-sided polygon would have to, in order to meet that criterion, curve in on itself so that the two ends of the side meet to form a vertex. In order for the polygon to not be curved, it would have to be made up of two straight lines (this figure is known as a digon). So no, a polygon cannot be a single straight line.
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 nonagon 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
A shape with one side
Yes a monogon
a monogon or henagon
henagon (or monogon)* * * * * A pentadecagon. But I prefer 15-gon since it is obvious what that means - without reference to a dictionary.
Yes. A digon can have 2 sides, but only in a spherical geometry. In normal Euclidean geometry both the monogon and the digon have just 1 side.
henagon (or monogon) 1digon 2triangle (or trigon) 3quadrilateral (or tetragon) 4pentagon 5hexagon 6heptagon 7octagon 8enneagon (or nonagon) 9decagon 10hendecagon 11dodecagon 12
a 2 sided shape is real but a 1 sided shape is not
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monogon -------------------- 3: Triangle 4: Quadrilateral 5: Pentagon 6: Hexagon 7: Heptagon 8: Octagon 9: Nonagon 10: Decagon There are names for some polygons with a higher number of sides, but these are rarely used. Typically we use the phrase "n-gon." Thus, a 69-sided polygon would be referred to as a 69-gon.
Names of Polygons1 monogon (Monogon and digon can only2 digon be used in rather special3 trigon, triangle circumstances. Trigon and4 tetragon, quadrilateral tetragon are alternatives to5 pentagon triangle and quadrilateral;6 hexagon the adjectival forms trigonal7 heptagon and tetragonal are more common.)8 octagon9 enneagon10 decagon11 hendecagon12 dodecagon13 triskaidecagon14 tetrakaidecagon, tetradecagon15 pentakaidecagon, pentadecagon16 hexakaidecagon, hexadecagon17 heptakaidecagon18 octakaidecagon19 enneakaidecagon20 icosagon21 icosikaihenagon, icosihenagon22 icosikaidigon23 icosikaitrigon24 icosikaitetragon25 icosikaipentagon26 icosikaihexagon27 icosikaiheptagon28 icosikaioctagon29 icosikaienneagon30 triacontagon31 triacontakaihenagon32 triacontakaidigon33 triacontakaitrigon34 triacontakaitetragon35 triacontakaipentagon36 triacontakaihexagon37 triacontakaiheptagon38 triacontakaioctagon39 triacontakaienneagon40 tetracontagon41 tetracontakaihenagon42 tetracontakaidigon43 tetracontakaitrigon44 tetracontakaitetragon45 tetracontakaipentagon46 tetracontakaihexagon47 tetracontakaiheptagon48 tetracontakaioctagon49 tetracontakaienneagon50 pentacontagon ...60 hexacontagon ...70 heptacontagon ...80 octacontagon ...90 enneacontagon ...100 hectogon, hecatontagon1000 chiliagon10000 myriagon
There are many shapes that have fewer than 3 vertices like the circle, hyperbola, semi circle, and many others. However if you are only talking about polygons then there is no actual shape with fewer than 3 vertices that you can find in a real life situation but they do have names for these shapes. A 2-sided polygon is known as a digon. A 1-sided polygon is known as a monogon. These shapes only exist in theory however and not in real life.
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