Most of us would call this tessellating design a
Eveline Foland's 1932 name in the Kansas City Star
has become the standard.
It's #160m, below. from my Encyclopedia of Pieced Quilt Patterns.
The Diamond Field - KC Star 1932
Rainbow Tile - Carrie Hall 1935
Martha Washington's Flower Garden - Spool Cotton 1940
The VerMerhren pattern company called it Diamond Field too.
It's an elongated rosette.
Mountain Mist--- a rather generic name: Mosaic.
The pattern is older than the published 20th-century names.
L Cordelia and Hannah Mallow dated this one 1876
Dana Balsalmo has one that looks to be pre-Civil War
A glimpse of a similar Turkey red example with a chintz border.
From Laura Fisher's shop---perhaps 1870s
Difficult to know if they are British or American
This variation from Bonham's in London done in very British purples,
Ganged into fours.
Henretta Bond in Georgetown Kentucky
It's easy to spot the 20th century versions by the colors.
Ella Harnan from International Quilt Study Center and Museum
Above and Below from Cindy's Antique Quilts.
Variations, keep adding rows.
From the Briscoe Center
Then there are shape variations.
Mary Kerr's Hexagon Collection
A 19th-century example painted by the
Index of American Design in the 1940s
UPDATE: The family of Mary Gasperik asked that I delete
any references to her quilts.
This common variation doesn't qualify as
a tessellation because it has two pieces...
Hexagons and diamonds.
And that's it for #160m.