As certain people know, having dropped large masses on it, it is not as solid as it looks. It does in fact break up, leaving a problem for those who have broken it. In cases such as these, Step 1. Find as many bits of tile a possible. Step 2. Fill the hole with these pieces. Step 3. Strategically place a stool leg over the offending place, and do not draw attention to it in any way, for at least 20 years.