MOCpages : Share your LEGO® creations
LEGO models my own creation MOCpages toys shop Regular PolygonsSculpture
Welcome to the world's greatest LEGO fan community!
Explore cool creations, share your own, and have lots of fun together.  ~  It's all free!
Regular Polygons
equilateral triangle, square, pentagon, hexagon, heptagon, and octagon
About this creation

Regular Polygons

A regular polygon is a polygon which is
equiangular (all angles are congruent)
and equilateral (all sides have the same length).

equilateral triangle -- square

pentagon -- hexagon

heptagon -- octagon

To make all of the polygons be about the same height took a little math:
Where a is the length of a side of the regular polygon.
And n is the number of sides of the regular polygon.

Then the height h of the regular polygon is:
if n is even h = a cot(pi/n)
else n is odd h = a (csc(pi/n) + cot(pi/n))/2

I made a spreadsheet and figured out that lengths of 16, 14, 9, 8, 7, and 6 studs worked best.

The Home of Republic of Texas Navy in LEGOs is right here on MOCpages.



  • RTS - Republic of Texas Ship
  • RTN - Republic of Texas Navy
  • LNA - Lego Naval Architect


 I like it 
  April 10, 2017
Nice touch with the equal-height constraint!
 I like it 
AA (Noname)
  July 5, 2011
Making Platonic solids will be a bit more difficult... :P
Add to my favorite builders

people like this. See who.

10,560 visitors
Added January 21, 2009

LEGO models my own creation MOCpages toys shop Regular PolygonsSculpture

You Your home page | LEGO creations | Favorite builders
Activity Activity | Comments | Creations
Explore Explore | Recent | Groups
MOCpages is an unofficial, fan-created website. LEGO® and the brick configuration are property of The LEGO Group, which does not sponsor, own, or endorse this site.
©2002-2018 Sean Kenney Design Inc | Privacy policy | Terms of use