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BP899 Regions in drawing (ignore background) can be coloured using three or fewer colours such that no adjacent regions are coloured the same colour vs. four colours are required.
(edit; present; nest [left/right]; search; history)
COMMENTS

This Problem is related to the four colour theorem.

CROSSREFS

Adjacent-numbered pages:
BP894 BP895 BP896 BP897 BP898  *  BP900 BP901 BP902 BP903 BP904

KEYWORD

hard, nice, math

CONCEPT separated_regions (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Jago Collins

BP900 Black shape is a valid shadow (2D projection) of 3D shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP895 BP896 BP897 BP898 BP899  *  BP901 BP902 BP903 BP904 BP905

KEYWORD

3d, orderedpair

CONCEPT 3d_solid (info | search),
projection (info | search)

AUTHOR

Leo Crabbe

BP901 Bongard Problem with solution relating to concept: projection of an object onto a lower dimension vs. Bongard Problem unrelated to this concept.
BP557
BP900
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP896 BP897 BP898 BP899 BP900  *  BP902 BP903 BP904 BP905 BP906

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "projection"

WORLD

bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP902 This Bongard Problem vs. anything else.
BP902
BP1

becious

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

Although this Bongard Problem is self-referential, it's only because of the specific phrasing of the solution. "BP902 vs. anything else" would also work. The number 902 could have been chosen coincidentally.

CROSSREFS

See BP953, BP959.

Adjacent-numbered pages:
BP897 BP898 BP899 BP900 BP901  *  BP903 BP904 BP905 BP906 BP907

KEYWORD

notso, meta (see left/right), links, left-self, left-narrow, left-finite, left-full, right-null, right-it, invalid, experimental, funny

CONCEPT self-reference (info | search),
specificity (info | search)

WORLD

everything [smaller | same]
zoom in left (bp902)

AUTHOR

Leo Crabbe

BP903 Sharp vs. blurry
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP898 BP899 BP900 BP901 BP902  *  BP904 BP905 BP906 BP907 BP908

KEYWORD

contributepairs

CONCEPT contrast (info | search),
curve_texture (info | search)

AUTHOR

Cameron Fetter

BP904 Rows show all possible ways a certain number of dots can be divided between a certain number of bins vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

The rows in the panels on the right hand side show all the ways you can divide a certain number of dots between a certain number of bins, ignoring which bins they are placed in.

CROSSREFS

Adjacent-numbered pages:
BP899 BP900 BP901 BP902 BP903  *  BP905 BP906 BP907 BP908 BP909

KEYWORD

solved, left-null, grid, left-listable, right-listable

CONCEPT permutation (info | search)

AUTHOR

Molly C Klenzak

BP905 Graph can be redrawn such that no edges intersect vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

A graph is a collection of vertices and edges. Vertices are the dots and edges are the lines that connect the dots. On the left, all edges can be redrawn (curved lines are allowed and moving vertices is allowed) such that no edges cross each other and each vertex is still connected to the same other vertices. These graphs are called planar.

CROSSREFS

Adjacent-numbered pages:
BP900 BP901 BP902 BP903 BP904  *  BP906 BP907 BP908 BP909 BP910

KEYWORD

nice, precise, allsorted, notso, math, left-null, preciseworld

CONCEPT graph (info | search),
topological_transformation (info | search)

WORLD

connected_graph [smaller | same | bigger]

AUTHOR

Molly C Klenzak

BP906 Bongard Problem with solution relating to concept: 2 inputs 1 output vs. Bongard Problem unrelated to this concept.
BP381
BP790
BP791
BP907
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP901 BP902 BP903 BP904 BP905  *  BP907 BP908 BP909 BP910 BP911

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "2_inputs_1_output"

WORLD

bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP907 One dot cluster is the product of the other two vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP902 BP903 BP904 BP905 BP906  *  BP908 BP909 BP910 BP911 BP912

KEYWORD

unorderedtriplet

CONCEPT 2_inputs_1_output (info | search),
product (info | search)

WORLD

3_dot_clusters [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP908 Ordered triplet comparison Bongard Problems vs. unordered triplet comparison Bongard Problems
BP54
BP64
BP234
BP324
BP325
BP339
BP381
BP548
BP558
BP790
BP791
BP1260
BP39
BP78
BP161
BP907
BP934
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples have the keyword "orderedtriplet" on the OEBP.

Right examples have the keyword "unorderedtriplet" on the OEBP.


An ordered triplet can be totally ordered (swapping any 2 objects would change the information being conveyed by the panel) or partially ordered (unordered pair and a 3rd object that relates to the pair).

CROSSREFS

Adjacent-numbered pages:
BP903 BP904 BP905 BP906 BP907  *  BP909 BP910 BP911 BP912 BP913

KEYWORD

meta (see left/right), links, keyword

WORLD

triplet_comparison_bp [smaller | same | bigger]
zoom in left (ordered_triplet_comparison_bp)

AUTHOR

Leo Crabbe

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