Tessellation Using Regular Enneagons, Rhombi, and Hexaconcave Dodecagons

tess 9 4 12

Tessellation Using Regular Hexadecagons, Isosceles Trapezoids, Squares of Two Types, and Convex Pentagons

tess may 19 2015Another version, with the colors inverted:

tess may 19 2015

A Chiral Tessellation, Using Regular Dodecagons, Regular Hexagons, Squares, and Rhombi (from 2012)

tess chiral 2012I have several “lost works” that I’m slowly finding and posting, from old jumpdrives, computers, little-known blogs, etc., and this is one of them. I made it in 2012, but few have seen it before now.

Tessellation Using Regular Octagons, Squares, and Isosceles Triangles

tess

Compound Eye Tessellation

tess

A Tessellation Featuring Multicolored, Regular Tetracontagons, as Well as Tetraconcave, Black, and Equilateral Hexatriacontagons

40

A Radial Tessellation of Regular Decagons and Bowtie Hexagons

decagon and bowtie hexagons

This tiling-pattern could be continued indefinitely, while still maintaining its five-fold radial symmetry, giving it the overall appearance of a pentagon.

A Golden Tessellation

golden tiling

This tessellation can be viewed in at least two ways: it can be seen as being composed of overlapping octagons which are equilateral, but not equiangular — or it can be viewed as a periodically-repeating pattern of golden gnomons, as well as golden triangles of two different sizes. Both golden triangles and golden gnomons are isosceles triangles with sides in the golden ratio, but golden triangles are acute, while golden gnomons are obtuse.

A Tessellation of Regular Octadecagons and Three Types of Hexagon

tiling B

The Beginning of an Attempt to Create an Aperiodic Tessellation of Golden Trapezoids

beginning

I’m not sure where this is going next. It uses the trapezoids described at the end of the last post. It’s unfinished . . . but if I leave it here, I know I’ll be able to find it later.