This is a good overview of Reebok’s logo history … with one obvious errror: it is not possible that Motter Tektura was used all the way back to the shoe company’s founding in 1895 because the typeface wasn’t designed until 1975.
Although Reebok hasn’t used the typeface for over a decade, for many consumers Motter Tektura has been the face of the shoe company since the 1970s. In 2002, the brand abandoned the typeface for their main logo, but does break it out with the Union Jack for their throwback product lines (shown below).
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In 1986, Reebok dropped the Union Jack flag from their logo and replaced it with a triangle-swash symbol known as “the vector” inspired by the designs on the shoe sides. The new logo was used for approximately ten years.