OK, tongue firmly planted in cheek for this one, but it's a smart badge so it needs to be done! I received a mail from Tim "I wrote AmigaDOS, me" King saying this:

"Let me know your address and I'll send you the world's only Amiga telephone:
just an old phone which I stuck an Amiga logo on :). But interesting because
the logo is the bouncing ball, and Amiga California liked that image and had
a bunch of stick-on logos made which they hoped would go on the machines.
Turned out Commodore had their own idea (first of many stupid ones) and
decided the the tick symbol should be the Amiga symbol. Us designers were
pissed off and went round sticking bouncing ball logos on everything we
could find :)"