This sound very qim, so I will break it up.
*A plane is a surface such that, given any 2 points on the surface, the surface also contains the straight line that passes through them
**This word means one after another
Type of Polygons
Simple Polygons, in which lines do not cross each other
Simple Hexagon
Complex Polygons, in which lines cross each other
Complex Pentagon
Convex Polygons, in which no interior angles are more than 180°
Convex Pentagon
Concave Polygons, in which 1 or more interior angles are more than 180°
Concave Pentagon
Regular Polygons, in which all angles and sides are equal
Regular Pentagon
Irregular Polygons, not all sides or angles are equal
Irregular Pentagon
Names of Polygons
Name | Sides | Interior angle if regular/degrees |
Henagon | 1 | - |
Digon | 2 | - |
Triangle | 3 | 60 |
Quadrilateral | 4 | 90 |
Pentagon | 5 | 108 |
Hexagon | 6 | 120 |
Heptagon | 7 | 128.571 |
Octagon | 8 | 135 |
Enneagon | 9 | 140 |
Decagon | 10 | 144 |
Hendecagon | 11 | 147.273 |
Dodecagon | 12 | 150 |
Tridecagon | 13 | 152.308 |
Tetradecagon | 14 | 154.286 |
Pentadecagon | 15 | 156 |
Hexadecagon | 16 | 157.5 |
Heptadecagon | 17 | 158.824 |
Octadecagon | 18 | 160 |
Enneadecagon | 19 | 161.053 |
Icosagon | 20 | 162 |
Triacontagon | 30 | 168 |
Tetracontagon | 40 | 171 |
Pentacontagon | 50 | 172.8 |
Hexacontagon | 60 | 174 |
Heptacontagon | 70 | 174.857 |
Octacontagon | 80 | 175.5 |
Enneacontagon | 90 | 176 |
Hectagon | 100 | 176.4 |
Chiliagon | 1000 | 179.64 |
Myriagon | 10 000 | 179.964 |
Decemyriagon | 100 000 | 179.9964 |
Hectommyriagon | 1 000 000 | 179.99964 |
Googolgon | 10^100 | ~180 |
n-gon | n | (n-2) x 180° /n |
From this scale, we can tell that as the polygon grows bigger and bigger, the interior angles get larger and larger until a calculator will round the answer on a googolgon down to 180°, as accurate as a calculator on a computer can get. So, this tells us that when a figure actually has many many many sides, it is slowing turning into a circle, so from this, I can conclude that a circle is actually a regular polygon with an infinite amount of sides.
Reflections
The topic of polygons has already been quite well though by the school, but I wanted to find out more about polygons, especially when I was sure that there were polygons with more than twelve sides. With the vast amount of polygons, I managed to draw a conclusion about all the figures.
That they start with tri or something like that.
3-Tri
4-Quad
5-Penta
6-Hexa
7-Hepta
8-Octa
9-Ennea
10-Deca
1 000 000-Hectommyria-This one is quite interesting, as 100 is hecto, and 1000 is myria, it is actually taking 100*1000 to give 1 000 000
100 000-Decamyria-This is the same as above, as 10 is deca, and 1000 is myria, it is actually taking 10*1000 to give 100 000
And all of them, end with a "gon"
Further more, we can actually see that some names a combination of others, such as Octadecagon, which has 18 sides is a combination of 8 and 10 together. However, the are some that are quite unique, like the 14 sided Tetradecagon, which is not related to quad.
Probably, there may be many other names, maybe a polygon with 210 000 sides might be the Dodecamyriamyriagon, who knows?
