Very similar to the less clearly-defined solution "tiles itself with infinitely many copies (different sizes allowed) vs. does not".

The left hand side of this is a weaker condition than the left hand side of BP1241.

Very similar to the less clearly-defined solution "tiles itself with infinitely many copies (different sizes allowed) vs. does not". A potential difference would be whether the "contains self somewhere within any area around any point within self" property remains true after removing smaller copies of self.

The left hand side of this is a weaker condition than the left hand side of BP1241.

Very similar to the less clearly-defined solution "tiles itself with infinitely many copies (different sizes allowed) vs. does not". A potential difference would be whether the "contains self somewhere within any area around any point within self" remains true after removing smaller copies of self.

The left hand side of this is a weaker condition than the left hand side of BP1241.

A less clearly-defined way of putting it is "tiles itself with infinitely many copies (different sizes allowed) vs. does not".

The left hand side of this is a weaker condition than the left hand side of BP1241.

A less clearly-defined way of putting it is "tiles itself with infinitely many copies (different sizes allowed) vs. not".

The left hand side of this is a weaker condition than the left hand side of BP1241.

The left hand side of this is a weaker condition than the left hand side of BP1241.

The left hand side of this is a weaker version of the left hand side of BP1241.

The left hand side of this is a weaker version of the left hand side of BP1116.

Contains self somewhere within any area around any point within self vs. not so.

Contains self within any area around any point within self vs. not so.

Contains self within any region (around any point within self) vs. not so.

Aaron David Fairbanks