If you are trying to chart Filet Crochet in the round, you’ve only selected the most complex technique, short of Irish Crochet. If you’ve never done it before, try the square charting to understand Filet Crochet, then chart a basic round of singles and doubles and chains, then combine the two. You’ll find that the increases are not necessarily even when you implement in your yarn choice.
Round Doily patterns like the one pictured are the simplest, yet still challenging to chart. You do not necessarily need graph paper, but you would then need to know the basic symbols for the stitches. You might look up Blueprint Crochet by Robyn Chachula, or any charted crochet book, at the local library
You can also chart in Quarter Round and simply repeat for the complete round. This is the easier method for charting large rounds.
I just Binged charted crochet for these images, you can also look up the phrase Filet Crochet or Thread Crochet.