Routing patterns in Deno handle incoming HTTP requests by matching the URL path to predefined patterns. The server first checks for exact matches, like the root path '/'. If no exact match is found, it checks parameterized routes that extract variables from the URL, such as '/user/:id'. If still no match, it returns a 404 Not Found response. This process ensures requests are routed to the correct handler based on the URL structure. The order of checking routes is important to avoid incorrect matches. For example, checking exact paths before parameterized ones prevents the root path from being misinterpreted as a parameter. This visual execution shows step-by-step how requests are matched and how variables like 'id' are extracted and used in responses.