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Search: ex:EX4401
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BP368 There is a point that can see (in straight lines) all points vs. there is no point that can see (in straight lines) all points.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are called "star domains."

CROSSREFS

See BP388 for whether a distinguished point can see all points.

Adjacent-numbered pages:
BP363 BP364 BP365 BP366 BP367  *  BP369 BP370 BP371 BP372 BP373

KEYWORD

nice, precise, unstable, perfect, traditional

CONCEPT all (info | search),
existence (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

WORLD

shape [smaller | same | bigger]
zoom in left (fill_shape_with_seeing_point)

AUTHOR

Aaron David Fairbanks

BP990 The center of mass can "see" (in straight lines) all points within the shape vs. the center of mass is not located in a region where it can see (in straight lines) all points.
(edit; present; nest [left/right]; search; history)
COMMENTS

Another way of thinking about the solution is considering whether a light source placed at the center of mass of a given example would illuminate the whole shape.

CROSSREFS

Every left for this Problem would be will be a left example for both BP367 and BP368.

Adjacent-numbered pages:
BP985 BP986 BP987 BP988 BP989  *  BP991 BP992 BP993 BP994 BP995

KEYWORD

convoluted, perfect

CONCEPT inside (info | search),
center_of_mass (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

WORLD

fill_shape_seeing_point_center_of_mass_inside [smaller | same | bigger]

AUTHOR

Leo Crabbe

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