What size needles fit a Rex 26-188 walking foot machine?
16x63 needle system, unless it's been retimed for something else. Suggest you might want to find the dull, bent up or otherwise still intact needle and show it to your industrial supplier or repair person, so they can check for you.
Needle system tells you about the length and timing distance of the needle: see, e.g.: http://designer-entrepreneurs.com/blog/illustrations/Singer_Needle.pdf Size tells you about the diameter of the needle: here's a suite of home sewing machine needles, all of the same needle system, but one of the photos shows a comparison of sizes:
http://www.picturetrail.com/sfx/album/view/17206792
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