The On-Line Encyclopedia of Bongard Problems

Search: concept:rotation_required

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BP175

Small object can glide in the bay vs. small object cannot glide in the bay.

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	CROSSREFS	`Adjacent-numbered pages: BP170 BP171 BP172 BP173 BP174 * BP176 BP177 BP178 BP179 BP180`
	KEYWORD	`orderedpair, traditional`
	CONCEPT	`entrance_exit (info \| search),` `indentation (info \| search),` `rotation_required (info \| search),` `imagined_motion (info \| search),` `motion (info \| search),` `specific_shape (info \| search),` `physically_fitting (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP201

Two of the shapes make tiles along their border lines vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP196 BP197 BP198 BP199 BP200 * BP202 BP203 BP204 BP205 BP206`
	KEYWORD	`noisy, traditional`
	CONCEPT	`rotation_required (info \| search),` `tiling (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`fill_shapes [smaller \| same \| bigger]`
	AUTHOR	`Giuseppe Insana`

BP228

After rotating so that the longest line is horizontal, there is a left arm raised and a weight down vs. after rotating so that the longest line is horizontal, there is a left arm down and a weight raised.

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	CROSSREFS	`Adjacent-numbered pages: BP223 BP224 BP225 BP226 BP227 * BP229 BP230 BP231 BP232 BP233`
	KEYWORD	`convoluted, traditional`
	CONCEPT	`rotation_required (info \| search),` `specific_style (info \| search),` `specificity (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP229

When the objects are rotated and their dots are overlapped and eliminated, they form three-square-tall structures with columns of the same color vs. not so.

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	COMMENTS	`Explanation / justification of BP229 by its creator:` `"Long (doubly sized) objects are purines (A & G).` `Short objects are pyrimidines (C & T).` `Black are those forming triple Hbond (G and C).` `White are those forming double Hbond (A & T).` `On the left we have matching codes, i.e., bases, doublets or triplets that, when rotated, can pair correctly (A with T, G with C), binding the two strands.` `On the right we have objects that no matter how they are rotated they do not pair correctly (because of bumps, wrong color codes, etc)."`
	CROSSREFS	`Adjacent-numbered pages: BP224 BP225 BP226 BP227 BP228 * BP230 BP231 BP232 BP233 BP234`
	KEYWORD	`unorderedpair, traditional`
	CONCEPT	`rotation_required (info \| search),` `tiling (info \| search),` `specific_value (info \| search),` `specificity (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP259

Two identical overlapping objects of which the top is rotated slightly clockwise vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP254 BP255 BP256 BP257 BP258 * BP260 BP261 BP262 BP263 BP264`
	KEYWORD	`traditional`
	CONCEPT	`turn_orientation (info \| search),` `rotation_required (info \| search),` `objects_overlap (info \| search),` `overlap (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

BP305

Shapes identical after rotation vs. shapes identical after rotation and mirroring.

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	CROSSREFS	`Adjacent-numbered pages: BP300 BP301 BP302 BP303 BP304 * BP306 BP307 BP308 BP309 BP310`
	KEYWORD	`nice, traditional`
	CONCEPT	`rotation_required (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`"Lewis"`

BP529

Fractal tiles itself with smaller non-rotated (nor reflected) copies of itself vs. fractal requires turning to tile itself.

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	COMMENTS	`No included examples involve reflection.`
	CROSSREFS	`Adjacent-numbered pages: BP524 BP525 BP526 BP527 BP528 * BP530 BP531 BP532 BP533 BP534`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `rotation_required (info \| search),` `self-reference (info \| search),` `tiling (info \| search)`
	WORLD	`fractal_self_tile [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP850

Shape can be maneuvered around the corner vs. not so.

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	REFERENCE	`https://en.wikipedia.org/wiki/Moving_sofa_problem`
	CROSSREFS	`Adjacent-numbered pages: BP845 BP846 BP847 BP848 BP849 * BP851 BP852 BP853 BP854 BP855`
	KEYWORD	`nice, precise, physics, creativeexamples, proofsrequired, left-narrow, right-narrow, dithering`
	CONCEPT	`rotation_required (info \| search),` `imagined_motion (info \| search),` `physically_fitting (info \| search)`
	AUTHOR	`Leo Crabbe`

BP892

Black shapes can be arranged such that they fit inside rectangular outline vs. not so.

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	COMMENTS	`There is a slight ambiguity here regarding whether a shape could be placed within another shape's hole. This is a question of how one perceives the Problem: are we sliding shapes around on a table in 2D or are we allowed to 'lift' them in 3D space?`
	CROSSREFS	`Adjacent-numbered pages: BP887 BP888 BP889 BP890 BP891 * BP893 BP894 BP895 BP896 BP897`
	KEYWORD	`nice, precise, perfect, pixelperfect, help`
	CONCEPT	`rotation_required (info \| search),` `physically_fitting (info \| search)`
	AUTHOR	`Leo Crabbe`

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