You'd have to have a newsreader and service that allows binaries.
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Newsreader is fine with them, news server, not so much although I have
seen a few rare exceptions sneak through if small enough. Why not
post the picture to one of the "alt.binary.pictures..." groups.
There's a ton of them and it doesn't really matter which one as long
as you're not grossed out by the name.
Good idea. I looked for an alt.binaries.misc but couldn't find one. If you spot an appropriate group
for miscellaneous stuff, let me know.