In 1987, Stanley conjectured that if a centrally symmetric Cohen–Macaulay simplicial complex ∆ of dimension d − 1 satisfies h_i(∆) = (^d_i ) for some i > 1, then h_j(∆) = (^d_j ) for all j > i. Much more recently, Klee, Nevo, Novik, and Zheng conjectured that if a centrally symmetric simplicial polytope P of dimension d satisfies g_i(∂P) = (^d_i ) − ( _i−^d₁ ) for some d/2 > i > 1, then g_j(∂P) = (^d_j ) − ( _j−^d₁ ) for all d/2 > j > i. This note uses stress spaces to prove both of these conjectures.