3D Rep-Tiles and Irreptiles
3D Rep-Tiles and Irreptiles
This Demonstration generalizes the topic of rep-tiles and irreptiles to the third dimension.
An irreptile is a shape that can be tiled with smaller copies of itself.
A rep-tile is an irreptile that allows a tiling with smaller copies such that all parts have the same size.
One of the results is that there are only very few objects which are 3D irreptiles, but are not 3D rep-tiles.