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BP150 Odd number of squares vs. even number of squares.
(edit; present; nest [left/right]; search; history)
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

BP202 Even number vs. odd number.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP334 for a version of the same idea, but using dots instead of arbitrary shapes.

Adjacent-numbered pages:
BP197 BP198 BP199 BP200 BP201  *  BP203 BP204 BP205 BP206 BP207

KEYWORD

noisy, number, traditional

CONCEPT even_odd (info | search)

AUTHOR

Giuseppe Insana

BP267 Odd number of straight line segments vs. even number of straight line segments.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP262 BP263 BP264 BP265 BP266  *  BP268 BP269 BP270 BP271 BP272

CONCEPT even_odd (info | search)

WORLD

arial_font_centered_connected_symbol [smaller | same | bigger]

AUTHOR

Merse E. Gáspár

BP334 Odd number of dots vs. even number of dots.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP334 for a version of the same idea, but using arbitrary shapes instead of dots.

Adjacent-numbered pages:
BP329 BP330 BP331 BP332 BP333  *  BP335 BP336 BP337 BP338 BP339

KEYWORD

precise, allsorted, number, math, left-narrow, right-narrow, right-null, help, traditional, preciseworld

CONCEPT even_odd (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP560 There exists a closed trail that hits each edge exactly once vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are called "Eulerian graphs."


A connected graph is Eulerian if and only if each vertex is incident to an even number of edges.

CROSSREFS

Adjacent-numbered pages:
BP555 BP556 BP557 BP558 BP559  *  BP561 BP562 BP563 BP564 BP565

KEYWORD

precise, allsorted, math, traditional, preciseworld

CONCEPT graph (info | search),
distinguishing_crossing_curves (info | search),
all (info | search),
even_odd (info | search),
existence (info | search)

WORLD

connected_graph [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP889 Odd number of enclosed regions vs. even number of enclosed regions.
(edit; present; nest [left/right]; search; history)
COMMENTS

The use of numbers and pictures are only a distraction.


See BP966 for the version in which the background counts.

CROSSREFS

Adjacent-numbered pages:
BP884 BP885 BP886 BP887 BP888  *  BP890 BP891 BP892 BP893 BP894

KEYWORD

number

CONCEPT separated_regions (info | search),
even_odd (info | search)

AUTHOR

Thomas Joyce

BP922 One row is rearranged to make the other by swapping an odd number of object pairs vs. one row is rearranged to make the other by swapping an even number of object pairs.
(edit; present; nest [left/right]; search; history)
COMMENTS

The mathematical terms for these operations are even and odd permutations.

CROSSREFS

Adjacent-numbered pages:
BP917 BP918 BP919 BP920 BP921  *  BP923 BP924 BP925 BP926 BP927

KEYWORD

precise, allsorted, math, left-narrow, right-narrow, unorderedpair, preciseworld, left-listable

CONCEPT even_odd (info | search),
permutation (info | search)

AUTHOR

Leo Crabbe

BP966 Even number of white regions vs. odd number of white regions.
(edit; present; nest [left/right]; search; history)
COMMENTS

See BP889 for the version in which the background doesn't count.

CROSSREFS

Adjacent-numbered pages:
BP961 BP962 BP963 BP964 BP965  *  BP967 BP968 BP969 BP970 BP971

KEYWORD

nice, boundingbox, number, right-null, perfect, pixelperfect, traditional, bordercontent

CONCEPT separated_regions (info | search),
even_odd (info | search)

AUTHOR

Aaron David Fairbanks

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