The On-Line Encyclopedia of Bongard Problems

Search: concept:midpoint

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BP112

X-coordinates of dots are equidistant vs. y-coordinates of dots are equidistant.

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	CROSSREFS	`Adjacent-numbered pages: BP107 BP108 BP109 BP110 BP111 * BP113 BP114 BP115 BP116 BP117`
	KEYWORD	`hard, nice, antihuman, traditional`
	CONCEPT	`coordinate (info \| search),` `length_line_or_curve (info \| search),` `midpoint (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `same_feature (info \| search),` `same (info \| search)`
	WORLD	`three_points [smaller \| same \| bigger]`
	AUTHOR	`Douglas R. Hofstadter`

BP117

Triangle points to center of circle vs. triangle does not point to center of circle.

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	CROSSREFS	`Adjacent-numbered pages: BP112 BP113 BP114 BP115 BP116 * BP118 BP119 BP120 BP121 BP122`
	KEYWORD	`traditional`
	CONCEPT	`between (info \| search),` `on_line_or_curve (info \| search),` `midpoint (info \| search),` `pointing_to (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `triangle_arrow (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP161

Midpoints are collinear vs. midpoints are not collinear.

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	CROSSREFS	`Adjacent-numbered pages: BP156 BP157 BP158 BP159 BP160 * BP162 BP163 BP164 BP165 BP166`
	KEYWORD	`nice, unorderedtriplet, traditional`
	CONCEPT	`all (info \| search),` `collinear (info \| search),` `midpoint (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP257

The distance from the center of the line to the bottom of the square is the same as the distance from the dot to the right edge of the square vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP252 BP253 BP254 BP255 BP256 * BP258 BP259 BP260 BP261 BP262`
	KEYWORD	`convoluted, notso, boundingbox, traditional, absoluteposition`
	CONCEPT	`bounding_box (info \| search),` `length_line_or_curve (info \| search),` `midpoint (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `same_feature (info \| search),` `same (info \| search),` `distance_from_center (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

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