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Search: concept:imagined_entity
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BP280 The left part is wider than the right part vs. the left part is narrower than the right part.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP275 BP276 BP277 BP278 BP279  *  BP281 BP282 BP283 BP284 BP285

CONCEPT convex_hull (info | search),
horizontal (info | search),
left_right (info | search),
length_line_or_curve (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
vertical (info | search)

WORLD

arial_font_two_symbols [smaller | same | bigger]

AUTHOR

Merse E. Gáspár

BP287 Rays emanating from a central point vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP282 BP283 BP284 BP285 BP286  *  BP288 BP289 BP290 BP291 BP292

KEYWORD

traditional

CONCEPT lines_coincide (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
triangle_arrow (info | search),
triangle (info | search)

AUTHOR

"Lewis"

BP292 Angle made by shapes with vertex at square is not acute vs. angle made by shapes with vertex at square is acute.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP287 BP288 BP289 BP290 BP291  *  BP293 BP294 BP295 BP296 BP297

KEYWORD

precise, spectrum, traditional, preciseworld

CONCEPT acute (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

AUTHOR

"Lewis"

BP310 Enclosed square repelled by the outside squares, closest to the side of the enclosing square thats farthest from the common center of the outside squares. vs. enclosed square attracted by the outside squares, closest to the side of the enclosing square thats closest to the common center of the outside squares..
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP305 BP306 BP307 BP308 BP309  *  BP311 BP312 BP313 BP314 BP315

KEYWORD

traditional

CONCEPT cluster_barycenter (info | search),
inside (info | search),
interior_exterior (info | search),
near_far (info | search),
shape_cluster (info | search),
cluster (info | search),
imagined_point (info | search),
imagined_entity (info | search)

AUTHOR

"Lewis"

BP312 Lines intersect within the box vs. lines intersect out of the box.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP307 BP308 BP309 BP310 BP311  *  BP313 BP314 BP315 BP316 BP317

KEYWORD

precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition

CONCEPT completed_out_of_box (info | search),
vertex_of_meeting_lines (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

AUTHOR

Jakub Štepo

BP342 Exactly one axis of symmetry vs. either zero or more than one axis of symmetry.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP337 BP338 BP339 BP340 BP341  *  BP343 BP344 BP345 BP346 BP347

KEYWORD

traditional, finishedexamples

CONCEPT exists_one (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
symmetry_axis (info | search),
symmetry (info | search)

WORLD

shape_outline [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP344 Shape can tile itself vs. shape cannot tile itself.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are sometimes called "rep-tiles."


The tiles all must be the same size. More specifically, all left examples can tile themselves only using scaled down and rotated versions of themselves with all tiles the same size. Right examples cannot tile themselves using scaled down rotated versions of themselves or even reflected versions of themselves with all tiles the same size.


Without the puzzle piece-like shape EX4120 on the right side the current examples also allow the solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram."

CROSSREFS

See BP532 for a version with fractals.

Adjacent-numbered pages:
BP339 BP340 BP341 BP342 BP343  *  BP345 BP346 BP347 BP348 BP349

EXAMPLE

Go to https://oebp.org/files/yet.png for an illustration of how some left-sorted shapes tile themselves.

KEYWORD

hard, precise, notso, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, traditional

CONCEPT recursion (info | search),
self-reference (info | search),
tiling (info | search),
imagined_shape (info | search),
imagined_entity (info | search)

WORLD

shape [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP345 Intersection of circle and square vs. union of circle and square.
(edit; present; nest [left/right]; search; history)
COMMENTS

An image of only a circle or of only a square would be ambiguously categorized.

CROSSREFS

Adjacent-numbered pages:
BP340 BP341 BP342 BP343 BP344  *  BP346 BP347 BP348 BP349 BP350

KEYWORD

nice, left-narrow, right-narrow, traditional, both

CONCEPT set_intersection (info | search),
set_union (info | search),
imagined_shape (info | search),
imagined_entity (info | search),
overlap (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP358 The circles will collide if the arrows are their velocities vs. the circles will not collide if the arrows are their velocities.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP353 BP354 BP355 BP356 BP357  *  BP359 BP360 BP361 BP362 BP363

KEYWORD

nice, physics, unorderedpair, traditional

CONCEPT arrow (info | search),
tracing_lines_or_curves_meet (info | search),
speed (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
imagined_motion (info | search),
motion (info | search),
collision (info | search)

AUTHOR

Aaron David Fairbanks

BP362 Choice that solves the analogy exists vs. choice that solves the analogy does not exist.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP357 BP358 BP359 BP360 BP361  *  BP363 BP364 BP365 BP366 BP367

KEYWORD

creativeexamples, assumesfamiliarity, structure, rules

CONCEPT analogy (info | search),
imagined_shape (info | search),
imagined_entity (info | search)

AUTHOR

Aaron David Fairbanks

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