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I would like to propose a better system for naming ZBLL's. It's based off the twisty PLL recognition technique.

First, we need a standard angle for each OCLL and PLL.

For OCLL, I'll just follow speedcubedb.com's standards.

For PLL, For all adjacent corner swap PLLs, I think it's best to have the standard angles be headlights on left for consistency. For EPLL's and diagonal corner swap PLL's I will follow speedcubedb.com's standards.

OK now we can name all ZBLL's.

Let's call the number of U turns required from standard PLL angle when you untwist the corners from standard OCLL angle, u.

Every ZBLL can now be named as:
<insert OCLL> <insert PLL you get when corners are untwisted> <insert u (only necessary if the PLL isn't symmetric)>

For PLL, For all adjacent corner swap PLLs, I think it's best to have the standard angles be headlights on left for consistency. For EPLL's and diagonal corner swap PLL's I will follow speedcubedb.com's standards.