Generating a spherical shape given radius and number of faces

Question

I am completely lost on this one -- I can't find any similar question on the net. Given the radius of an unknown spherical object, and the number of faces (minimum of 6), how would I get the size and 3D offset (position and rotation) (origin at 0,0,0) of each of those?

In this case, Y is the vertical axis and the Z axis represents depth, with -1 being forward and 1 being backward.

Programming this in Lua, but any other language / pseudo-code is welcomed.

Answer 1

then you have not searched properly

• there are quite a few of related Q&A even here on SO/SE
• for example here are some of mine
• equidistant points on sphere
• sphere surface area mapping
• these links can help to get your problem started (if not solve completely).

You did not provide enough information

• so I am assuming that you want to construct sphere from the same shape/sized polygons

I would start like this:

1. find equidistant points

   • these will be the vertexes
   • how to do it is explained in the first link

2. make connections to form the faces

   • just loop between layers and connect the points as you need
   • an example of rectangular grid/faces is in the second link

The main problem is that

• if your faces are the same shape/size (not triangles)
• then you can not use any number of faces but only some are valid
• the lower limit is not enough