Shortcut back to Hexdominoes Hexdominoes: some surprising variations


We knew Hexdominoes would be a winner, with hundreds of patterns, color themes, easy and difficult challenges. And now we keep discovering more and more beautiful designs of symmetry, color fields that spin before your eyes—the "playable art" aspect is transcendental.

These are the tiles that do all this and more — a hexagonal set of dominoes with every combination of 6 colors, plus one of each color as a single hex:

The Hexdominoes set

We show here a growing collection of results and solutions contributed by happy players. To our great delight, some are as young as 8 years old.


Matching Patches

All same size and same shape color regions divide each color into two groups of 4 hexes. The first person ever to find such a solution was Emily Clark, on August 29, 2009, in Ye Olde Gamery at the Maryland Renaissance Festival in Crownsville, MD. Here is Emily with her history-making solution, "12 Eggs":

Emily Clark and her '12 eggs' solution for Hexdominoes

Soon other solvers got the idea and expanded the search to other patches of 4 hexes in size. See how neat and regular each packing looks.

Parallelogram of 2x2 color patches, by Kate Jones   12 'eggs' around center hole, by Dan Austin

12 'P' tetrahexes as color patches, by Dan Austin     12 'J' tetrahexes as color patches, by Dan Austin

12 'I' tetrahexes as color patches, by Kate Jones


Polyhex Patches

Here each patch is different in size or shape and models polyhexes from 1 to 5 in area. Compare these to the pieces of the Hexnut Jr. set.

All the polyhexes of size 1, 2, 3, and 3 tetrahexes and 4 pentahexes, by Dan Austin   All 7 tetrahexes are modeled, plus other sizes, by Dan Austin

Color quads form a spiral, by Dan Austin


Symmetry Patterns

Look carefully at each design to see how the colors have a rotational symmetry, or how some colors are opposite others.

At Hexdominoes' world premiere at the 2009 Maryland Renaissance Festival, Marty Roger was the very first solver to create a rotational design, and he's only 8 years old. Here he holds his amazing solution.

Marty Roger with his awesome rotational symmetry solution

 

Daniel AustinDaniel Austin created this series of symmetry designs, each more elegant than the last, while working as a member of Ye Olde Gamery's crew during the 2009 season. Thus he has many opportunities to surprise the rest of us with exquisite new designs. It's gratifying to see our products' full potential emerge in the hands of a skillful solver. Dan has also become adept at many of our strategy games and can teach them to visitors who are looking for competitive thrills.

36 single hexes in rotationally equivalent groups--green-orange-purple versus the 3 primaries.   Daisies--6 patches of 6 plus rotationally placed singles.

6 bowling balls in inner triangle, symmetrical opposites   Color pairs line up neatly like a kaleidoscope

Patches of 6 and 7 wheel around symmetrical hub.   More daisies, with rotating color pairs in center.

Daniel's ever more sophisticated rotational symmetries and color groupings:

Parallel bars, with rotating color pairs in center.   3 colors joined, rotational symmetry.

Four colors joined, all symmetrical.


Hard to categorize

These three solutions by Kate came from a search for the extreme. Left: Color pairs fold to form 6 triangles (outlined in white). Each triangle is composed of a different color group. Only the pairs on the border are the actual color double tiles. Right: The maximum color grouping possible, with 3 colors fully joined and the other 3 with 7 joined, leaving only three single hexes floating. And this pattern is fully symmetrical as well. Can it get better than this? Well, yes, we can fully join 4 colors (below), but the search for maximum connectedness goes on.

Color pairs form 6 triangles   Three-fold symmetry and maximum color grouping

Four colors grouped, two dominoes, two enclosed colors.

New patterns with unusual characteristics will continue to be posted here as they are discovered. Coming soon:   Our new domain, hexdominoes.com, will be on the air shortly with many more challenges and interactive features.




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