The On-Line Encyclopedia of Bongard Problems

Search: concept:vertex_of_meeting_lines

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Polygon stands on side vs. polygon stands on vertex.

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	CROSSREFS	`Adjacent-numbered pages: BP111 BP112 BP113 BP114 BP115 * BP117 BP118 BP119 BP120 BP121`
	KEYWORD	`noisy, traditional`
	CONCEPT	`base (info \| search),` `horizontal (info \| search),` `uppermost_lowermost (info \| search),` `vertex_of_meeting_lines (info \| search),` `vertical (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Dots are vertices of a triangle standing on a side vs. dots are vertices of a triangle standing on a vertex.

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	CROSSREFS	`Adjacent-numbered pages: BP127 BP128 BP129 BP130 BP131 * BP133 BP134 BP135 BP136 BP137`
	KEYWORD	`noisy, traditional`
	CONCEPT	`base (info \| search),` `horizontal (info \| search),` `vertex_of_meeting_lines (info \| search),` `triangle (info \| search),` `vertical (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

The sum of vertices, line ends, and dots is 7 vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP225 BP226 BP227 BP228 BP229 * BP231 BP232 BP233 BP234 BP235`
	KEYWORD	`arbitrary, traditional`
	CONCEPT	`addition (info \| search),` `line_or_curve_endpoint (info \| search),` `dot (info \| search),` `vertex_of_meeting_lines (info \| search)`
	AUTHOR	`Giuseppe Insana`

Circle and two vertices are collinear vs. no two vertices and the circle are collinear.

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	CROSSREFS	`Adjacent-numbered pages: BP249 BP250 BP251 BP252 BP253 * BP255 BP256 BP257 BP258 BP259`
	KEYWORD	`traditional`
	CONCEPT	`collinear (info \| search),` `vertex_of_meeting_lines (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

Dots are in tight clusters around convex vertices vs. dots are spread around.

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	CROSSREFS	`BP308 is similar.` `Adjacent-numbered pages: BP302 BP303 BP304 BP305 BP306 * BP308 BP309 BP310 BP311 BP312`
	KEYWORD	`traditional`
	CONCEPT	`vertex_of_meeting_lines (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`"Lewis"`

Lines intersect within the box vs. lines intersect out of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP307 BP308 BP309 BP310 BP311 * BP313 BP314 BP315 BP316 BP317`
	KEYWORD	`precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition`
	CONCEPT	`completed_out_of_box (info \| search),` `vertex_of_meeting_lines (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Jakub Štepo`

Regular star polygon vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP335 BP336 BP337 BP338 BP339 * BP341 BP342 BP343 BP344 BP345`
	KEYWORD	`math, traditional`
	CONCEPT	`tracing_line_or_curve (info \| search),` `vertex_of_meeting_lines (info \| search),` `write_in_single_stroke (info \| search)`
	WORLD	`figure_made_of_segments [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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