I think the .png images on this website are larger than the uncompressed originals (1-bit depth, 1 bit per pixel).
replies(1):
Take the first one, "acius.png", at 84,326 bytes. If you losslessly scale back to the original size (1/4th) and convert to 1-bit NetPBM, it's 51,851 bytes, without compression. I thought that was remarkable.
$ oxipng -o max --strip all -avZ --fast acius.png
Processing: acius.png
2304x2880 pixels, PNG format
8-bit Indexed (2 colors), non-interlaced
IDAT size = 84251 bytes
File size = 84326 bytes
Transformed image to 1-bit Indexed (2 colors), non-interlaced
Trying filter None with zopfli, zi = 15
Found better result:
zopfli, zi = 15, f = None
IDAT size = 24466 bytes (59785 bytes decrease)
file size = 24541 bytes (59785 bytes = 70.90% decrease)
24541 bytes (70.90% smaller): acius.png