This is the "harder version" of BP505.

Adjacent-numbered pages:
BP796 BP797 BP798 BP799 BP800  *  BP802 BP803 BP804 BP805 BP806

hard, less, abstract, math, subjective, challenge, right-unknowable, collective, experimental, finishedexamples

Aaron David Fairbanks

Adjacent-numbered pages:
BP807 BP808 BP809 BP810 BP811  *  BP813 BP814 BP815 BP816 BP817

easy, fuzzy, abstract, notso, stretch, anticomputer, subjective, invalid, experimental, funny, dithering

Aaron David Fairbanks

This is a very fuzzy definition. Some left examples arguably should be placed on the right, since the particular way they are represented is arbitrary--the Platonic solids EX6730 and primes EX6734 especially, as these show arbitrary placement and arrangement of objects. Furthermore if arbitrary representations are allowed one cannot be sure for example the right hand drawing of random numbers EX6740 does not represent "numbers" in general. Still this Bongard Problem has been solved by people.

Adjacent-numbered pages:
BP808 BP809 BP810 BP811 BP812  *  BP814 BP815 BP816 BP817 BP818

fuzzy, abstract, stretch, math, solved, collective, experimental, dithering

Aaron David Fairbanks

Adjacent-numbered pages:
BP819 BP820 BP821 BP822 BP823  *  BP825 BP826 BP827 BP828 BP829

abstract

Aaron David Fairbanks

The original pre-transformed square is the same across all examples, however it is not shown in most examples; what the pre-transformed square looks like must be deduced by the solver.

BP1260 is about applying the same transformation to different objects.

Adjacent-numbered pages:
BP834 BP835 BP836 BP837 BP838  *  BP840 BP841 BP842 BP843 BP844

easy, abstract, arbitrary, anticomputer, traditional, rules

Aaron David Fairbanks

Or, perhaps more concretely, "Depiction of object with some symmetry (invariance under transformation) vs. depiction of object with no simple symmetries."

Adjacent-numbered pages:
BP842 BP843 BP844 BP845 BP846  *  BP848 BP849 BP850 BP851 BP852

nice, fuzzy, abstract, math, concept, collective, dithering

Leo Crabbe

Or, "evokes idea of symmetry (see BP760) vs. not so," which is also a solution for BP847. - Aaron David Fairbanks, Jul 29 2020

Adjacent-numbered pages:
BP864 BP865 BP866 BP867 BP868  *  BP870 BP871 BP872 BP873 BP874

abstract, spectrum, anticomputer, subjective, concept, perfect

Leo Crabbe

Requires cultural knowledge, e.g. for specific warning symbols

Adjacent-numbered pages:
BP877 BP878 BP879 BP880 BP881  *  BP883 BP884 BP885 BP886 BP887

easy, less, abstract, spectrum, anticomputer, subjective, culture, invalid

Thomas Joyce

All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.

https://en.wikipedia.org/wiki/Injective_function

Adjacent-numbered pages:
BP912 BP913 BP914 BP915 BP916  *  BP918 BP919 BP920 BP921 BP922

nice, abstract, creativeexamples, structure, rules, miniworlds

Leo Crabbe

Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)

See BP793 and BP1004 for similar paradoxes.

See BP1005 for the version about only numerical properties; examples in that BP would be sorted the same way here that they are there.

See BP1003 for a similar idea. Rather than the collection of collections imitating the individual collections, BP1003 is about the total combined collection imitating the individual collections. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.

Also see BP1004, which is likewise about the whole satisfying the same rule as its parts, but there the parts don't themselves have to be collections; there the parts are just plain individual objects. The panels in BP999 (this BP) should be sorted the same way in BP1004.

See BP1002, which is about only visual self-similarity instead of more general conceptual "self-similarity".

Adjacent-numbered pages:
BP994 BP995 BP996 BP997 BP998  *  BP1000 BP1001 BP1002 BP1003 BP1004

nice, abstract, creativeexamples, left-narrow, rules, miniworlds

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Aaron David Fairbanks