The correct spelling for Adidas, the shoe brand, is A-d-i-d-a-s.
The first acronym bandied about as the basis of the company's name was "All Day I Dream About Soccer," although more recently the more generic "All Day I Dream About Sport" has become a popular guess for the origin of the company's name.
In the 1920s, Adolf (Adi) Dassler, a soft-spoken sports fanatic who spent hours working on shoe designs in his workshop, and Rudolf Dassler, a gregarious salesman, started a small shoemaking business in the Bavarian enclave of Herzogenaurach, focusing primarily on hand-sewn athletic footwear.
But as their business took off, the two brothers grew increasingly frustrated with each other. As per Newsweek.com, when each decided to form his own company, the original names were created by using the first two letters of the first names: Addas and Ruda.
There was actually a children's shoe brand with the name Addas, so Adi added an ‘I’ (and it became Adidas). In Rudolf's case, his marketing flair and his assistants probably told him that Ruda wasn't very inspiring. So he changed it to Puma.
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