The On-Line Encyclopedia of Bongard Problems

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Angle bisectors meet at the incenter vs. perpendicular bisectors meet at the orthocenter.

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	CROSSREFS	`Adjacent-numbered pages: BP166 BP167 BP168 BP169 BP170 * BP172 BP173 BP174 BP175 BP176`
	KEYWORD	`nice, math, traditional`
	CONCEPT	`triangle_incenter (info \| search),` `triangle_orthocenter (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Rotationally symmetric vs. not.

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	COMMENTS	`The rotational symmetry axis is about the center of the object, not the bounding box. Positioning within the bounding box is noise.`
	CROSSREFS	`Adjacent-numbered pages: BP167 BP168 BP169 BP170 BP171 * BP173 BP174 BP175 BP176 BP177`
	KEYWORD	`traditional`
	CONCEPT	`rotational_symmetry (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Small variance of slopes vs. large variance of slopes.

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	CROSSREFS	`Adjacent-numbered pages: BP168 BP169 BP170 BP171 BP172 * BP174 BP175 BP176 BP177 BP178`
	KEYWORD	`nice, spectrum, traditional, continuous`
	CONCEPT	`all (info \| search),` `pattern_or_random (info \| search),` `line_slope (info \| search),` `statistical_variance (info \| search),` `similar (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Convex central interior vs. concave central interior.

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	CROSSREFS	`Adjacent-numbered pages: BP169 BP170 BP171 BP172 BP173 * BP175 BP176 BP177 BP178 BP179`
	KEYWORD	`noisy, traditional`
	CONCEPT	`concave_convex_angle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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`

Line that connects dots avoiding obstacles is short vs. line that connects dots avoiding obstacles is long.

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	CROSSREFS	`Adjacent-numbered pages: BP171 BP172 BP173 BP174 BP175 * BP177 BP178 BP179 BP180 BP181`
	KEYWORD	`nice, spectrum, traditional, continuous`
	CONCEPT	`length_line_or_curve (info \| search),` `path (info \| search)`
	AUTHOR	`Harry E. Foundalis`

All interiors are convex vs. at least one concave interior.

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	CROSSREFS	`Adjacent-numbered pages: BP172 BP173 BP174 BP175 BP176 * BP178 BP179 BP180 BP181 BP182`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `concave_convex_angle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Center of circle in triangle perpendicular to the other two vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP173 BP174 BP175 BP176 BP177 * BP179 BP180 BP181 BP182 BP183`
	KEYWORD	`traditional`
	CONCEPT	`center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Object thinner at top vs. object thicker at top.

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	CROSSREFS	`Adjacent-numbered pages: BP174 BP175 BP176 BP177 BP178 * BP180 BP181 BP182 BP183 BP184`
	KEYWORD	`traditional`
	CONCEPT	`size_increase_decrease (info \| search),` `downward_upward (info \| search),` `regular_irregular_change (info \| search),` `tracing_line_or_curve (info \| search),` `uppermost_lowermost (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

Black region narrows at the boundary of black/white vs. black region widens at the boundary of black/white.

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	CROSSREFS	`Adjacent-numbered pages: BP175 BP176 BP177 BP178 BP179 * BP181 BP182 BP183 BP184 BP185`
	KEYWORD	`nice, dual, traditional`
	CONCEPT	`size_increase_decrease (info \| search),` `outlined_filled (info \| search),` `tracing_line_or_curve (info \| search),` `texture (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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