Left examples are sometimes called "rep-tiles."

The tiles all must be the same size. More specifically, all left examples can tile themselves only using scaled down and rotated versions of themselves with all tiles the same size. Right examples cannot tile themselves using scaled down rotated versions of themselves or even reflected versions of themselves with all tiles the same size.

Without the puzzle piece-like shape EX4120 on the right side the current examples also allow the solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram."

See BP532 for a version with fractals.

Go to https://oebp.org/files/yet.png for an illustration of how some left-sorted shapes tile themselves.

BP532 is this but with fractals.

Go to https://oebp.org/files/yet.png for an illustration of how some left examples in this Problem tile themselves.

Click here for an illustration of how some left examples in this Problem tile themselves.

Left examples are sometimes called "rep-tiles."

The tiles all must be the same size. More specifically, all left examples can tile themselves only using scaled down and rotated versions of themselves with all tiles the same size. Right examples cannot tile themselves using scaled down rotated versions of themselves or even reflected versions of themselves with all tiles the same size.

Without the puzzle piece-like shape on the right side the current examples also allow the solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram."

Left examples are sometimes called "rep-tiles."

The tiles all must be the same size.

More specifically, all left examples can tile themselves only using scaled down and rotated versions of themselves. Right examples cannot tile themselves using scaled down rotated versions of themselves or even reflected versions of themselves.

Without the puzzle piece-like shape on the right side the current examples also allow the solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram."

This is BP532 in different context.

Without the puzzle piece-like shape on the right side there is solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram."

Shape can tile itself vs. shape cannot tile itself.

Unintended alternative solution: "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram."

Shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram.

Aaron David Fairbanks