All the possible polygons!

This movie shows all the regular polygons that can be exactly drawn using the instruments of classical geometry: ruler and compass. They are the polygons of 3, 4 and 5 sides, as well as their doubles (6, 8, 10), quadruple (12, 16, 20) and so on. Pentadecagons (15 sides) can also be drawn and, surprisingly, polygons of 17 and 51 sides. Read more details here:

http://www.flickr.com/photos/aldoaldoz/4355765214/

Tutti i poligoni regolari che possono essere costruiti in modo esatto con riga e compasso. Leggete maggiori dettagli qui:

http://www.flickr.com/photos/aldoaldoz/4322194271/

Category:

Science & Technology

Tags:

• Polygons
• aldoaldoz
• euclid
• gauss
• straight
• ruler
• compass
• arc
• circle
• line
• diameter
• triangle
• square
• pentagon
• hexagon
• octagon
• decagon
• dodecagon
• pentadecagon
• heptadecagon

[Mrhellotinfish]

how to draw 17?

when you do the...first 'blue' in colour circle

where is the crossing point of this circle?

[aldoaldoz]

@Mrhellotinfish: the radius of that circle is not important, since it is used to find some angles needed to draw the fist black stright line.

[Mrhellotinfish]

this is a good video, but some polygons example 257 65537 are possible!

why dont you........oh i forgot it,these polygons are hard to draw it!

[aldoaldoz]

@Mrhellotinfish: I already did the 257-gon, and (only started) the 65537-gon!

Search for 257-gono and 65537-gono on the italian version of wikipedia: youll'find my animations!

(I must translate those articles to english, but till now didn't find the time)

[kirbyether7]

can the polygon of 7 not be made using the classical methods?

[aldoaldoz]

The heptagon can't be EXACTLY drawn. Nevertheless there is a simple method that gives an error of about 1/10° on the central angle

[meanbob088]

17 was ridiculous...

[kattejuice]

17 was sick!!!

[Gik1618]

This video reminded me of Junior and Senior. lol

[callmednero925]

who ever made this has waaaay too much time on their hands

[jacovc1986]

17 was awsome

all this work just to find this poor line...

[DougieMaster03]

why all the cicle shit? just draw a mother fuckin sqare.

[davidrt100]

Lájk, ha te is az Árpádos matekháziverseny miatt vagy itt! :D

[gpolykra]

@Mrhellotinfish it doesn' t matter

[0001kd]

great presentation....my applause 

[Horinius]

From any circle, you could draw a diameter. And then construct a perpendicular line to it (through the center, of course) and you've got the four points on the circle for the square.

I don't understand why you complicated the construction of square! O_o

[SomeKidWithAGuitar1]

jack black explained it better

[terapL0p]

ty man so hard :D