Important Math Question

[XenoTheMorph]

Originally posted by Grandpa Kim:

quote:

---

Originally posted by atari_eric:

Since we're on the subject of math, does anyone know the formula for finding the area of a 4-dimensional sphere? Assuming an equal radius for all 4 axes...

Sorry can't help you there but how about an additional question:

the formula for the 3D volume of a 4 dimensional sphere? This would be analogous to the area of a 3D sphere.

---

Well in anwser to these little questions:
wwwDOTbright.net/~mrf/hierarchy(1).html
(Yikes can't use links with brackets!!!! DOT is a ".")

1. A hypersphere (4D sphere) has a 4D "Area" of
V⁴ = π²r⁴/2

2. A hypersphere (4D sphere) has a 3D "Surface" of
S³ = 2π²r³