The golden bee is a concave hexagon with five right angles and one reflex angle that can be dissected into two smaller similar copies of unequal size, as illustrated above. The name golden bee is used by Akiyama (2012) and Durand et al. (2020). The name Ammann chair is used in the Tilings Encyclopedia (Frettlöh et al. n.d.). The shape was found by Robert Ammann and independently rediscovered by Karl Scherer (Akiyama 2012). The word "bee" refers to the shape's resemblance to the lowercase letter "b" (Akiyama 2012).
The two copies have linear scale factors and
relative to the original, where
is the golden ratio. Their
area fractions are therefore
and
, whose sum is 1 (Durand et al. 2020). This makes
the golden bee an irreptile, using a definition that
allows unequal-size pieces. The displayed two-piece dissection
does not satisfy the equal-size requirement in the definition of a rep-tile.
The golden bee occurs in two sizes in Ammann A2 substitution tilings (Durand et al. 2020).