I'm pretty sure there is a book about this technique, written (if I am remembering correctly) by a Japanese quilter. However, I haven't been able to find it.
Do you remember if there was sashing? If so, then the tutorial below might be helpful to you. Just leave out the batting and substitute 4 layers for 5 layers in her instructions. It seems to me the only way to put this particular quilt together is with sashing.
https://cathicrafts.wordpress.com/20...uilt-tutorial/
Edit: I did find this book about making reversible quilts, but don't know if it includes a log cabin. (The second link shows the front and back of one of the quilts in the book.)
https://www.amazon.com/Reversible-Qu...dp/1564774104/
https://www.softexpressions.com/soft...ks/RevQlts.php