Friday, 7 July 2017

Drawing regular polygons with geometer's sketchpad #1

Geometer's sketchpad is an application that allows you to draw many different drawings using geometrical tools.
This is a regular triangle, created with geometer's sketchpad

Drawing regular polygons with geometer's sketchpad #3

This time, I drew a (you guessed it) pentagon.  This was harder to make but I managed to pull it off.
These drawing are starting to get complicated

Drawing regular polygons with geometer's sketchpad #2

The second polygon I made was a square.
The numbers on the side prove that this is a regular square

Drawing regular polygons with geometer's sketchpad #5

Since a regular heptagon is not constructible with a compass and a ruler, I skipped it and did an octagon instead.
It is extremely easy as all one has to do is bisect each side of a square

Drawing regular polygons with geometer's sketchpad #6

Since a regular nonagon can't be constructed with a compass and ruler, the next one is a Decagon.
The measurements are a bit off, but I don't know why as I did everything correctly

Drawing regular polygons with geometer's sketchpad #7

Since a hendecagon can't be constructed with a compass and straight-edge, I skipped it and constructed a regular dodecagon instead.
I bisected each of the Hexagon's 6 sides

Drawing regular polygons with geometer's sketchpad #4

Next up is the Hexagon.
It is basically constructing 6 regular triangles 

Drawing regular polygons with geometer's sketchpad #8

Since a tridecagon, a tetradecagon, and a pentadecagon all can't be constructed with a ruler and straight-edge, I will be skipping all of them and moving on to the 16 sided polygon, or Hexadecagon.
If you can actually tell what's happening, I applaud you