We give a construction in a column of a one-dimensional cellular automaton of the Minkowski sum of two sets which can themselves occur in columns of cellular automata. It enables us to obtain another construction of the set of integers that are sums of three squares, answering a question by the same author.
翻译:我们在一维细胞自动机的列中构造了两个集合的闵可夫斯基和,这两个集合本身可以出现在细胞自动机的列中。这使我们能够获得三平方和整数集合的另一种构造,从而回答了同一作者提出的一个问题。