We study the number of non-zero terms in two specific families of ternary cyclotomic polynomial, we find formulas for the number of terms by writing the cyclotomic polynomial as a sum of smaller sub-polynomials and study the properties of these polynomial.

翻译：我们研究两个特定家庭的非零值数, 即双环环球多元体, 我们通过将环球多元体写成一个小小亚分球体的总和, 来找到术语数的公式, 并研究这些多球体的特性。