We study infinite binary words that contain few distinct palindromes. In particular, we classify such words according to their critical exponents. This extends results by Fici and Zamboni [TCS 2013]. Interestingly, the words with 18 and 20 palindromes happen to be morphic images of the fixed point of the morphism $\texttt{0}\mapsto\texttt{01}$, $\texttt{1}\mapsto\texttt{21}$, $\texttt{2}\mapsto\texttt{0}$.

翻译：我们研究含有少量不同回文的无限二元词。特别地，我们根据这些词的关键指数对其进行分类。这扩展了Fici和Zamboni [TCS 2013] 的结果。有趣的是，含有18个和20个回文的词恰好是态射 $\texttt{0}\mapsto\texttt{01}$，$\texttt{1}\mapsto\texttt{21}$，$\texttt{2}\mapsto\texttt{0}$ 的不动点的态射像。