Lightning Invoice QR-Code minimum size/display resolution? what would be the minimum screen size to display lightning invoices as a qr-code?

For the Raspberry Pi Zero I found these displays:


128x128 pixel LCD display (1.44 inch)
200x200 pixel e-paper/e-Ink display (1.54 inch)
128x64 pixel OLED display (0.96 inch)


I saw the examples in BOLT#11 and know that it depends on the input type and error correction setting when creating the qr-code.

Would the qr-code be readable if every black dot of the qr-code would be respresented with only one dot? Or do I need for example 4 dots, resulting in a 32x32 qr-code? Would that be enough for lightning invoices? Is it possible to convert the lightning invoice in all uppercase for generating the qr-code in alphanumeric mode which only uses 5.5 bits per character instead of 8?

With the Google Charts API it is possible to generate QR-Codes, this link generates a QR-Code with 128x128 pixel with the first example invoice from BOLT#11 and an error correction of M (allows recovery of up to 15% data loss): https://chart.googleapis.com/chart?cht=qr&amp;chl=lnbc1pvjluezpp5qqqsyqcyq5rqwzqfqqqsyqcyq5rqwzqfqqqsyqcyq5rqwzqfqypqdpl2pkx2ctnv5sxxmmwwd5kgetjypeh2ursdae8g6twvus8g6rfwvs8qun0dfjkxaq8rkx3yf5tcsyz3d73gafnh3cax9rn449d9p5uxz9ezhhypd0elx87sjle52x86fux2ypatgddc6k63n7erqz25le42c4u4ecky03ylcqca784w&amp;chs=128x128&amp;chld=M|0
First of all yes it is possible to convert all characters to uppercase a trick some users of lightning already use. 

If you look in the lightning rfc you can see that the length of an invoice can become quite large as the discriptions, routing hints and fallback addresses are not fixed I think there is not even an upper limit defined. For example this test invoice has 439 characters.


  lnbc20m1pvjluezpp5qqqsyqcyq5rqwzqfqqqsyqcyq5rqwzqfqqqsyqcyq5rqwzqfqypqhp58yjmdan79s6qqdhdzgynm4zwqd5d7xmw5fk98klysy043l2ahrqsfpp3qjmp7lwpagxun9pygexvgpjdc4jdj85fr9yq20q82gphp2nflc7jtzrcazrra7wwgzxqc8u7754cdlpfrmccae92qgzqvzq2ps8pqqqqqqpqqqqq9qqqvpeuqafqxu92d8lr6fvg0r5gv0heeeqgcrqlnm6jhphu9y00rrhy4grqszsvpcgpy9qqqqqqgqqqqq7qqzqj9n4evl6mr5aj9f58zp6fyjzup6ywn3x6sk8akg5v4tgn2q8g4fhx05wf6juaxu9760yp46454gpg5mtzgerlzezqcqvjnhjh8z3g2qqdhhwkj


QR Codes themselves come at different versions which define how much data can be stored in them depending on how many pixels are used. 

What I can't tell u if one pixel of a display would be sufficient. I guess even with error correction this would not be enough. For example the RaspiBlitz uses a 320 * 480 display