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BP1264 Any shape's axis of reflection is shared by another shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1259 BP1260 BP1261 BP1262 BP1263  *  BP1265 BP1266 BP1267 BP1268 BP1269

KEYWORD

precise, allsorted, notso, left-narrow

CONCEPT symmetry (info | search)

AUTHOR

Leo Crabbe

BP1266 Angles either only increase or only decrease as one moves along the curve vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

It does not matter which end of the curve one starts from, nor which "side" angles are measured from, so long as the side is kept consistent.

CROSSREFS

Adjacent-numbered pages:
BP1261 BP1262 BP1263 BP1264 BP1265  *  BP1267 BP1268 BP1269 BP1270 BP1271

KEYWORD

allsorted, notso, traditional

CONCEPT angle (info | search),
size_increase_decrease (info | search)

AUTHOR

Leo Crabbe

BP1267 Any two lines intersect, and no three lines share an intersection point vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

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.

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP1262 BP1263 BP1264 BP1265 BP1266  *  BP1268 BP1269 BP1270 BP1271

KEYWORD

precise, allsorted, notso, perfect

AUTHOR

Leo Crabbe

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