Icosahedron

This is a submission for the Con-Test

Been a while since I hatched the idea of trying to make a polygonal sphere. I've tried making a soccer/foot ball and I also tried making a 4-faced pyramid. The problems that arose were irrational numbers, finding correct angles, and simply just trying to do this on my own.

Just recently I got the idea of making this particular object after seeing it on Castlevania: Symphony of the Night (The checkpoints). With the help of wiki I was able to draw up a table of ratios and angles to turn this idea into a reality.

One thing on wiki I saw was the use of 3 rectangles to show all the vertexes. I used this example to create 3 pads that would act as a template for the positions of the vertexes, using the ratio given for the width or length of a pad [(1+√5)/2].

200px-Icosahedron-golden-rectangles.svg.png

Here is the product:
http://www.the-construct.net/forums/attachment.php?attachmentid=4483

Here is the diagram for the lengths and angles:
table.png

For full pad sizes, take a and b from the left side of the diagram and multiply each by 2. The pad thickness is irrelevant.
  • screen1.png
  • screen2.png
  • screen3.png

Comments

Sign In or Register to comment.