There are several synonyms for the phrase "do the top head," which essentially means to think deeply or concentrate intensely. Some of these synonyms include ponder, contemplate, meditate, reflect, ruminate, and speculate. Each of these words implies a slightly different nuance of thought. For example, ponder suggests a careful consideration of something, while contemplate indicates a more deliberate and thoughtful reflection. Meditate implies a more spiritual or mindful approach to concentration. Reflect suggests a return to past experiences for insight, ruminate implies repetitive or cyclical thinking, and speculate suggests considering possibilities without evidence. Whatever the word used, doing the top head requires mental effort and a focused mind.