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Can you think of a way to fit 32x32 pixels reliably in under 128 base64 characters?

edit: hint: it's 768 bits, while 32x32=1024

Yes, use DEFLATE[1] before you B64. Also, it does not hurt to up-vote all of these useful comments!

I tried deflate, and I was surprised, it actually worked in about 66% of the cases I tried. The question remains what to do for those remaining 33%