# S^5 sphere

by yola
Tags: sphere
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,497 It is the subset of R5 of points $(x_1, x_2, x_3, x_4, x_5)$ such that $$x_1^2+ x_2^2+ x_3^2+ x_4^2+ x_5^2= 1$$ (The "Ball", B5, is the set of points $(x_1, x_2, x_3, x_4, x_5)$ such that $$x_1^2+ x_2^2+ x_3^2+ x_4^2+ x_5^2<= 1$$)
 Quote by HallsofIvy It is the subset of R5 of points $(x_1, x_2, x_3, x_4, x_5)$ such that $$x_1^2+ x_2^2+ x_3^2+ x_4^2+ x_5^2= 1$$ (The "Ball", B5, is the set of points $(x_1, x_2, x_3, x_4, x_5)$ such that $$x_1^2+ x_2^2+ x_3^2+ x_4^2+ x_5^2<= 1$$)