The On-Line Encyclopedia of Bongard Problems

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Visual Bongard Problems such that flipping over horizontal axis (up/down) can switch an example's side vs. visual Bongard Problems whose examples' sorting does not change under such a transformation.

BP36	BP199	BP286	BP313	BP337	BP363
BP551	BP896	BP972	BP1008	BP1014	BP1161
BP1213	BP1215	BP1216	BP1217	BP1218

BP1122

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "updown" on the OEBP.`
	CROSSREFS	`See leftright.` `All "updown" Problems are handed.` `Adjacent-numbered pages: BP1004 BP1005 BP1006 BP1007 BP1008 * BP1010 BP1011 BP1012 BP1013 BP1014`
	KEYWORD	`meta (see left/right), links, keyword, invariance`
	WORLD	`handed_visualbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1010

Bongard Problems about the properties of 2D representations of 3D objects vs. (still 2D) Bongard Problems about the properties of the 3D objects represented.

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BP250

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BP331

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "projectionmatters" on the OEBP.` `Right-sorted Bongard Problems have the keyword "3d" on the OEBP.`
	CROSSREFS	`See BP895 (presentationmatters vs. presentationinvariant) for a similar idea: there Bongard Problems are to Bongard Problem solutions as here 2D representations are to 3D objects.` `Adjacent-numbered pages: BP1005 BP1006 BP1007 BP1008 BP1009 * BP1011 BP1012 BP1013 BP1014 BP1015`
	KEYWORD	`meta (see left/right), links, keyword, sideless, dependence`
	AUTHOR	`Leo Crabbe`

BP1011

Polygon can be inscribed in a circle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1006 BP1007 BP1008 BP1009 BP1010 * BP1012 BP1013 BP1014 BP1015 BP1016`
	KEYWORD	`hard, precise, stretch, challenge, left-narrow, perfect, preciseworld`
	CONCEPT	`circle (info \| search),` `imagined_entity (info \| search)`
	WORLD	`fill_polygon [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1012

No tile shares a partial side with another tile vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1007 BP1008 BP1009 BP1010 BP1011 * BP1013 BP1014 BP1015 BP1016 BP1017`
	KEYWORD	`precise, allsorted, perfect`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`wallpaper_tiling_1_polygon [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP1013

Neighbouring tiles share exactly 1 side vs not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1008 BP1009 BP1010 BP1011 BP1012 * BP1014 BP1015 BP1016 BP1017 BP1018`
	KEYWORD	`precise, allsorted, perfect`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`wallpaper_tiling_1_polygon [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP1014

Shapes become thicker the farther they are from the top-left and bottom-right corners of bounding box vs. some other pattern in shape thickness based on position.

(edit; present; nest [left/right]; search; history)

	REFERENCE	`https://studentweb.cs.wwu.edu/~tuora/aarontuor/computerscience/bongardproblems.html`
	CROSSREFS	`Adjacent-numbered pages: BP1009 BP1010 BP1011 BP1012 BP1013 * BP1015 BP1016 BP1017 BP1018 BP1019`
	KEYWORD	`handed, leftright, updown, rotate, boundingbox, bordercontent`
	CONCEPT	`size (info \| search)`
	AUTHOR	`Aaron Tuor`

BP1015

Segment drawn between two points intersects another line vs segment drawn between two points does not intersect any other lines

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	CROSSREFS	`This is nearly identical to BP163. Here instead of shape outlines dots are used, and the dots can be within the larger shape outline.` `Adjacent-numbered pages: BP1010 BP1011 BP1012 BP1013 BP1014 * BP1016 BP1017 BP1018 BP1019 BP1020`
	KEYWORD	`easy, precise`
	CONCEPT	`dot (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `object_line_overlap (info \| search),` `overlap (info \| search)`
	AUTHOR	`Peter Nesin`

BP1016

Rigid vs. not rigid.

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	REFERENCE	`Henneberg, L. (1911), Die graphische Statik der starren Systeme, Leipzig` `Jackson, Bill. (2007). Notes on the Rigidity of Graphs.` `Laman, Gerard. (1970), "On graphs and the rigidity of plane skeletal structures", J. Engineering Mathematics, 4 (4): 331–340.` `Pollaczek‐Geiringer, Hilda (1927), "Über die Gliederung ebener Fachwerke", Zeitschrift für Angewandte Mathematik und Mechanik, 7 (1): 58–72.`
	CROSSREFS	`Adjacent-numbered pages: BP1011 BP1012 BP1013 BP1014 BP1015 * BP1017 BP1018 BP1019 BP1020 BP1021`
	KEYWORD	`nice, physics, help`
	CONCEPT	`rigidity (info \| search),` `graph (info \| search),` `imagined_motion (info \| search)`
	WORLD	`planar_connected_graph [smaller \| same \| bigger] zoom in left (rigid_planar_connected_graph)`
	AUTHOR	`Aaron David Fairbanks`

BP1017

Line segments linking same-coloured dots would intersect vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`This is a less noisy version of BP261.` `Adjacent-numbered pages: BP1012 BP1013 BP1014 BP1015 BP1016 * BP1018 BP1019 BP1020 BP1021 BP1022`
	KEYWORD	`easy, nice, precise, allsorted, perfect, traditional, finishedexamples, preciseworld`
	CONCEPT	`lines_coincide (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `overlap (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1018

Bongard Problem with solution relating to concept: structural rigidity vs. Bongard Problem unrelated to this concept.

BP993

BP1016

BP1133

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	CROSSREFS	`Adjacent-numbered pages: BP1013 BP1014 BP1015 BP1016 BP1017 * BP1019 BP1020 BP1021 BP1022 BP1023`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "rigidity"` `Searchable synonyms: "rigid".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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