I have an article in the May/June 2018 issue of McCall's Quilting---a 2-page history of the log cabin design.
The magazine has several patterns for some graphic variations.
https://www.quiltingcompany.com/store/mccall-s-quilting-may-june-2018-print-edition
It's all a good excuse to show you 12 great vintage log cabin quilts---mostly found in online auctions.
Wool, early 20th c?
More of the same.
1940-60?
1870-1890
Below two Half-A-Logs (really 1/4 of a log)
1920s?
1930s
Housetops About 1900
It says Hitty and it's a doll quilt, maybe 1880-1900
From eBay seller French72 Antiques
From Laura Fisher Quilts
Posts I've done about the pattern: