The On-Line Encyclopedia of Bongard Problems

Search: author:Douglas R. Hofstadter

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Three spatially separated clusters vs. two spatially separated clusters.

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	CROSSREFS	`Adjacent-numbered pages: BP151 BP152 BP153 BP154 BP155 * BP157 BP158 BP159 BP160 BP161`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Curves are longer than straight lines vs. curves are shorter than straight lines.

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	CROSSREFS	`Adjacent-numbered pages: BP150 BP151 BP152 BP153 BP154 * BP156 BP157 BP158 BP159 BP160`
	KEYWORD	`traditional`
	CONCEPT	`curved_straight (info \| search),` `length_line_or_curve (info \| search),` `specific_style (info \| search),` `specificity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Wedged endings vs. rounded endings.

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	CROSSREFS	`Adjacent-numbered pages: BP149 BP150 BP151 BP152 BP153 * BP155 BP156 BP157 BP158 BP159`
	KEYWORD	`traditional`
	CONCEPT	`curved_straight (info \| search),` `line_or_curve_endpoint (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `specific_style (info \| search),` `specificity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Predominance of curves and hook-like endings vs. predominance of straight lines and staple-like endings.

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	CROSSREFS	`Adjacent-numbered pages: BP148 BP149 BP150 BP151 BP152 * BP154 BP155 BP156 BP157 BP158`
	KEYWORD	`traditional`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `specific_style (info \| search),` `specificity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

No axis of symmetry vs. vertical axis of symmetry.

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	CROSSREFS	`BP50 is the same solution (with the sides switched), using multiple shapes and with some shapes filled in black.` `BP1206 is like BP50 but instead of "no axis of symmetry at all" it uses "no vertical axis of symmetry".` `Adjacent-numbered pages: BP147 BP148 BP149 BP150 BP151 * BP153 BP154 BP155 BP156 BP157`
	KEYWORD	`rotate, stretch, traditional`
	CONCEPT	`existence (info \| search),` `symmetry_axis (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

If the circle closest to the cross is removed, the rest form an equilateral triangle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP146 BP147 BP148 BP149 BP150 * BP152 BP153 BP154 BP155 BP156`
	KEYWORD	`traditional`
	CONCEPT	`correspondence (info \| search),` `length_line_or_curve (info \| search),` `near_far (info \| search),` `number (info \| search),` `mentally_remove_object (info \| search),` `equilateral_triangle (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Odd number of squares vs. even number of squares.

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	CROSSREFS	`Adjacent-numbered pages: BP145 BP146 BP147 BP148 BP149 * BP151 BP152 BP153 BP154 BP155`
	KEYWORD	`number, traditional`
	CONCEPT	`even_odd (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Lone square vs. lone circle.

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	CROSSREFS	`Adjacent-numbered pages: BP144 BP145 BP146 BP147 BP148 * BP150 BP151 BP152 BP153 BP154`
	KEYWORD	`traditional`
	CONCEPT	`near_far (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `one (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

A little less than a regular shape vs. a little more than a regular shape.

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	CROSSREFS	`Adjacent-numbered pages: BP143 BP144 BP145 BP146 BP147 * BP149 BP150 BP151 BP152 BP153`
	KEYWORD	`fuzzy, ignoreimperfections, traditional`
	CONCEPT	`imperfection_small (info \| search),` `missing_part (info \| search),` `extra_part (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Three collinear and two others, the two are vertical vs. the two are horizontal.

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	CROSSREFS	`Adjacent-numbered pages: BP142 BP143 BP144 BP145 BP146 * BP148 BP149 BP150 BP151 BP152`
	KEYWORD	`traditional`
	CONCEPT	`collinear (info \| search),` `horizontal (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `vertical (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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