Left-sorted examples divide the plane into a maximal amount of disconnected white regions by a given number of "cuts". The number of regions in one of these examples will be the nth value of of the Lazy Caterer sequence ( https://oeis.org/A000124 ), where n is the number of lines.

Left-sorted examples divide the plane into a maximal amount of disconnected white regions by a given number of "cuts". The number of regions in one of these examples will be the nth value of of the Lazy Caterer sequence ( https://oeis.org/A000124 ), where n is the number of lines.

Since all of the examples given on the left have 5 lines or less, another answer is "Could be extended to a pentagram vs. not." - Aaron David Fairbanks, Oct 21 2024

Left-sorted examples divide the plane into a maximal amount of disconnected white regions by a given number of "cuts". The number of regions in one of these examples will be the nth value of of the Lazy Caterer sequence (https://oeis.org/A000124), where n is the number of lines.

Since all of the examples given on the left have 5 lines or less, another answer is "Could be extended to a pentagram vs. not." - Aaron David Fairbanks, Oct 21 2024

Left-sorted examples divide the plane into a maximal amount of disconnected white regions by a given number of "cuts". The number of regions in one of these examples will be the nth value of of the Lazy Caterer sequence (https://oeis.org/A000124), where n is the number of lines.

Since all of the examples on the left have 5 lines or less, another answer is "Could be extended to a pentagram vs. not." - Aaron David Fairbanks, Oct 21 2024

Left-sorted examples divide the plane into a maximal amount of disconnected white regions by a given number of "cuts". The number of regions in one of these examples will be the nth value of of the Lazy Caterer sequence (https://oeis.org/A000124), where n is the number of lines.

Since all of the examples have 5 lines or less, another answer is "Could be extended to a pentagram vs. not." - Aaron David Fairbanks, Oct 21 2024

Left-sorted examples divide the plane into a maximal amount of disconnected white regions by a given number of "cuts". The number of regions in one of these examples will be the nth value of of the Lazy Caterer sequence (https://oeis.org/A000124), where n is the number of lines.

Any two lines intersect, and no three lines share an intersection point vs. not so.

Left-sorted examples divide the plane into a maximal amount of disconnected white regions by a given number of "cuts". The number of regions in one of these examples will be the nth value of of the Lazy Caterer sequence (https://oeis.org/A000124), where n is the number of lines.

https://en.wikipedia.org/wiki/Lazy_caterer%27s_sequence

Leo Crabbe