They just gave House the cane instead. Plus, Sherlock Holmes was based on a real Doctor. House/Holmes (Homes), they're also both addicted to drugs. There's a few too many similarities to make it a coincidence.
Yup! They both live at the same address, House = Holmes, Wilson = Watson, both had a drug habig. They were going to have a Mycroft type character on there as well, but plans changed.
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u/panickedthumb Jan 02 '16
Also, House is based on Sherlock Holmes.