People laugh differently. Some laugh silently, while others tend to guffaw.
‘Homer’ is a Greek poet who is believed to have written the Iliad and the Odyssey, and not the leading character in the well-known television show, ‘The Simpsons’.
‘Homeric laughter’ refers to laughter of the ROFL (Rolling on Floor, Laughing). The individual laughs loudly and at times uncontrollably; it is usually prolonged, and the entire body shakes during the process.
We may call it a belly shaking laughter or a homeric laughter because this is how the gods laughed in Homer’s classics. When you think about it, this is how the crazy Homer Simpson laughs as well! See below how it looks-