The On-Line Encyclopedia of Bongard Problems

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Quadrilateral that is nearly a triangle vs. typical quadrilateral.

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	CROSSREFS	`Adjacent-numbered pages: BP155 BP156 BP157 BP158 BP159 * BP161 BP162 BP163 BP164 BP165`
	KEYWORD	`perfect, traditional`
	CONCEPT	`imperfection_small (info \| search),` `number (info \| search),` `triangle (info \| search)`
	WORLD	`Multiple options: [smaller \| same \| bigger], quadrilateral_outline [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

Angle bisectors meet at the incenter vs. perpendicular bisectors meet at the orthocenter.

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	CROSSREFS	`Adjacent-numbered pages: BP166 BP167 BP168 BP169 BP170 * BP172 BP173 BP174 BP175 BP176`
	KEYWORD	`nice, math, traditional`
	CONCEPT	`triangle_incenter (info \| search),` `triangle_orthocenter (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Center of circle in triangle perpendicular to the other two vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP173 BP174 BP175 BP176 BP177 * BP179 BP180 BP181 BP182 BP183`
	KEYWORD	`traditional`
	CONCEPT	`center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Ghost triangle vs. Ghost rectangle.

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	CROSSREFS	`Adjacent-numbered pages: BP188 BP189 BP190 BP191 BP192 * BP194 BP195 BP196 BP197 BP198`
	KEYWORD	`nice, anticomputer, traditional, dithering`
	CONCEPT	`absence_as_presence (info \| search),` `completed_out_of_box (info \| search),` `ghost (info \| search),` `number (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Background is a parallelogram vs. background is a triangle.

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	CROSSREFS	`Adjacent-numbered pages: BP189 BP190 BP191 BP192 BP193 * BP195 BP196 BP197 BP198 BP199`
	KEYWORD	`easy, nice, noisy, traditional`
	CONCEPT	`shape_background (info \| search),` `number (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Triangle closer to box corner than any of the circles vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP238 BP239 BP240 BP241 BP242 * BP244 BP245 BP246 BP247 BP248`
	KEYWORD	`notso, boundingbox, traditional, absoluteposition`
	CONCEPT	`bounding_box_corner (info \| search),` `length_line_or_curve (info \| search),` `near_far (info \| search),` `triangle (info \| search)`
	AUTHOR	`Matthew J. Howells`

Convex hull is a triangle vs. convex hull is a quadrilateral.

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	COMMENTS	`Note: Thickness of letters is to be disregarded. If the font is paid attention to, the solution does not work. - Aaron David Fairbanks, Dec 01 2021`
	CROSSREFS	`Adjacent-numbered pages: BP267 BP268 BP269 BP270 BP271 * BP273 BP274 BP275 BP276 BP277`
	CONCEPT	`convex_hull (info \| search),` `number (info \| search),` `triangle (info \| search)`
	WORLD	`arial_font_centered_connected_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

Rectangle left after tiling all black shapes into empty square vs. triangle left after tiling all black shapes into empty square.

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	CROSSREFS	`Adjacent-numbered pages: BP278 BP279 BP280 BP281 BP282 * BP284 BP285 BP286 BP287 BP288`
	KEYWORD	`traditional`
	CONCEPT	`outlined_filled (info \| search),` `tiling (info \| search),` `texture (info \| search),` `triangle (info \| search)`
	AUTHOR	`Sang-Joon Yoon`

Rays emanating from a central point vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP282 BP283 BP284 BP285 BP286 * BP288 BP289 BP290 BP291 BP292`
	KEYWORD	`traditional`
	CONCEPT	`lines_coincide (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `triangle_arrow (info \| search),` `triangle (info \| search)`
	AUTHOR	`"Lewis"`

Dots can be connected to create one triangle within another vs. not so.

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	COMMENTS	`Or equivalently, "3 dots within boundary of convex hull vs. not so". - Leo Crabbe, Aug 01 2020`
	CROSSREFS	`Adjacent-numbered pages: BP886 BP887 BP888 BP889 BP890 * BP892 BP893 BP894 BP895 BP896`
	KEYWORD	`nice, precise, allsorted, preciseworld`
	CONCEPT	`convex_hull (info \| search),` `triangle (info \| search)`
	WORLD	`6_dots [smaller \| same \| bigger]`
	AUTHOR	`Cameron Fetter`

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