[sdiy] solid geometry

[John L Marshall]

Math Gurus,

I am building a spherical speaker to obtain the impulse response of acoustic
spaces. I have a sphere with circumference of 38.25" and 25 speakers that I
believe are suitable.

The speakers are 3.5" diameter (will surface mount in a 3.0" hole)  with
paper cone and rolled rubber surround. I measured the free air resonance of
one speaker to be 110 Hz. These ancient ears could hear sound from the
speaker up to 15 kHz.

I want to mount the speakers evenly distributed on the sphere. What is the
formula for doing this?

I have found formulas for dodecahedrons and icosahedrons but they describe
12 and 20 flat surface solids.

Math wizards help me out.

Happy New Year,

John