Tetrahex Oddities

A polyhex oddity is a plane figure with binary symmetry formed by joining an odd number of copies of a tetrahex. Here are the minimal known oddities for the tetrahexes. Please write if you find a smaller solution or solve an unsolved case.

  • Basic Oddities
  • Holeless Variants

    • See also Trihex Oddities, Pentahex Oddities, and Hexahex Oddities.

    Basic Oddities

    Mike Reid proved that the O and S tetrahexes have no sexirotary oddities.

    Rowwise
    Bilateral     		Columnwise
    Bilateral     		BirotaryDouble
    Bilateral    		Sextuple
    Rotary    		Full
    1
    		1
    		1
    		1
    		9
    		9
    3
    		3
    		3
    		3
    		3
    		3
    1
    		1
    		1
    		1
    		None None
    3
    		3
    		3
    		3
    		3
    		3
    3
    		3
    		1
    		3
    		None None
    1
    		3
    		3
    		3
    		3
    		3
    None 1
    		None None None None

    Holeless Variants

    Columnwise Bilateral

    Double Bilateral

    Last revised 2024-10-29.

    Back to Polyform Oddities < Polyform Curiosities
    Col. George Sicherman [ HOME | MAIL ]