The On-Line Encyclopedia of Bongard Problems

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No tile shares a partial side with another tile vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1007 BP1008 BP1009 BP1010 BP1011 * BP1013 BP1014 BP1015 BP1016 BP1017`
	KEYWORD	`precise, allsorted, perfect`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`wallpaper_tiling_1_polygon [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

Neighbouring tiles share exactly 1 side vs not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1008 BP1009 BP1010 BP1011 BP1012 * BP1014 BP1015 BP1016 BP1017 BP1018`
	KEYWORD	`precise, allsorted, perfect`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`wallpaper_tiling_1_polygon [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

Filled subsection divides the grid vs. not so

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	CROSSREFS	`Adjacent-numbered pages: BP1052 BP1053 BP1054 BP1055 BP1056 * BP1058 BP1059 BP1060 BP1061 BP1062`
	KEYWORD	`math, grid, left-listable, right-listable`
	CONCEPT	`division (info \| search),` `tiling (info \| search)`
	WORLD	`zoom in left`
	AUTHOR	`Jago Collins`

Tiled by finitely many smaller copies of itself (different sizes allowed) vs. not so.

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	COMMENTS	`These are sometimes called "irreptiles".`
	CROSSREFS	`See BP532 for the version with only one size of tile allowed.` `Adjacent-numbered pages: BP1114 BP1115 BP1116 BP1117 BP1118 * BP1120 BP1121 BP1122 BP1123 BP1124`
	KEYWORD	`hardsort, proofsrequired, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `tiling (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Smaller section tiles the grid (element-wise rotation of tiles allowed) vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1180 BP1181 BP1182 BP1183 BP1184 * BP1186 BP1187 BP1188 BP1189 BP1190`
	KEYWORD	`precise, allsorted, notso, grid, miniworlds`
	CONCEPT	`element_wise_symmetry (info \| search),` `tiling (info \| search)`
	AUTHOR	`Leo Crabbe`

Smaller section tiles the grid vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`See BP1185 for the version of this solution where element-wise rotation of tiles is allowed.` `Adjacent-numbered pages: BP1182 BP1183 BP1184 BP1185 BP1186 * BP1188 BP1189 BP1190 BP1191 BP1192`
	KEYWORD	`allsorted, notso, grid`
	CONCEPT	`element_wise_symmetry (info \| search),` `tiling (info \| search)`
	AUTHOR	`Leo Crabbe`

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