The On-Line Encyclopedia of Bongard Problems

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No dot well within the convex hull vs. at least one dot well within the convex hull.

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	CROSSREFS	`Adjacent-numbered pages: BP133 BP134 BP135 BP136 BP137 * BP139 BP140 BP141 BP142 BP143`
	KEYWORD	`traditional`
	CONCEPT	`convex_hull (info \| search),` `existence (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	WORLD	`5_dots [smaller \| same \| bigger]`
	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`

No objects are centered at the center of the box vs. one object is centered at the center of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP204 BP205 BP206 BP207 BP208 * BP210 BP211 BP212 BP213 BP214`
	KEYWORD	`noisy, boundingbox, traditional, absoluteposition`
	CONCEPT	`bounding_box (info \| search),` `existence (info \| search),` `number (info \| search),` `center_bounding_box (info \| search),` `center (info \| search)`
	AUTHOR	`Giuseppe Insana`

Part of at least one object is out of box vs. all objects are within the box.

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	COMMENTS	`Alternatively, "black touches the boundary vs. not".`
	CROSSREFS	`Adjacent-numbered pages: BP205 BP206 BP207 BP208 BP209 * BP211 BP212 BP213 BP214 BP215`
	KEYWORD	`precise, boundingbox, perfect, pixelperfect, traditional`
	CONCEPT	`completed_out_of_box (info \| search),` `existence (info \| search)`
	AUTHOR	`Giuseppe Insana`

No small square at the end of any curve vs. curve ends at a small square.

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	CROSSREFS	`Adjacent-numbered pages: BP216 BP217 BP218 BP219 BP220 * BP222 BP223 BP224 BP225 BP226`
	KEYWORD	`less, traditional`
	CONCEPT	`existence (info \| search),` `curve_texture (info \| search),` `texture (info \| search)`
	AUTHOR	`Giuseppe Insana`

At least one touch or cross point vs. no touch or cross point.

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	CROSSREFS	`Adjacent-numbered pages: BP261 BP262 BP263 BP264 BP265 * BP267 BP268 BP269 BP270 BP271`
	CONCEPT	`x-crossing (info \| search),` `or (info \| search),` `existence (info \| search),` `t-point (info \| search)`
	WORLD	`arial_font_centered_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

At least one endpoint vs. no endpoints.

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	CROSSREFS	`Adjacent-numbered pages: BP271 BP272 BP273 BP274 BP275 * BP277 BP278 BP279 BP280 BP281`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `existence (info \| search)`
	WORLD	`arial_font_symbols [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

If any non-nosed faces exist, they are happy if and only if happy nosed faces exist as well vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP285 BP286 BP287 BP288 BP289 * BP291 BP292 BP293 BP294 BP295`
	KEYWORD	`convoluted`
	CONCEPT	`existence (info \| search),` `iff (info \| search)`
	AUTHOR	`"Lewis"`

All three sizes are present vs. only two of the three sizes present.

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	CROSSREFS	`Adjacent-numbered pages: BP291 BP292 BP293 BP294 BP295 * BP297 BP298 BP299 BP300 BP301`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `existence (info \| search),` `number (info \| search)`
	AUTHOR	`"Lewis"`

One of the two small squares is near the lower-right corner vs. one of the two small squares is near the upper-right corner.

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	CROSSREFS	`Adjacent-numbered pages: BP293 BP294 BP295 BP296 BP297 * BP299 BP300 BP301 BP302 BP303`
	KEYWORD	`noisy, traditional`
	CONCEPT	`absolute_position (info \| search),` `existence (info \| search)`
	AUTHOR	`"Lewis"`

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