A rep-
-tile, also called an 
-reptile, is a closed set with
nonempty interior that can be dissected
into 
mutually congruent
smaller copies, each similar to the original set, where
is an integer
(Kynčl and Patáková 2017). The definition applies in any dimension,
although rep-tiles are often illustrated by polygons.
The triangular polygonal spiral is one such example,
while certain space-filling tetrahedra
are rep-8-tiles.
The above figure shows the zeroth through fifth iterations obtained by rep-tiling the L-polyomino.
-Reptile Simplices in 
and 
."
Elec. J. Combin. 24, No. 3, P3.1, 1-44, 2017.