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BP1123 Can be cut into tiles forming a checkerboard pattern vs. not so.
?
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are grids consisting of two objects.

CROSSREFS

Adjacent-numbered pages:
BP1118 BP1119 BP1120 BP1121 BP1122  *  BP1124 BP1125 BP1126 BP1127 BP1128

EXAMPLE

EX9124 shows a 9 square by 9 square grid. Take each tile to be 3 squares by 3 squares; there is a 3 tile by 3 tile checkerboard pattern. (One of these tiles is itself a checkerboard pattern; the other is all black squares.)

KEYWORD

hard, nice, precise, allsorted, hardsort, grid, miniworlds

AUTHOR

Jago Collins

BP1132 Circle that passes through points is contained within bounding box vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1127 BP1128 BP1129 BP1130 BP1131  *  BP1133 BP1134 BP1135 BP1136 BP1137

KEYWORD

precise, allsorted, boundingbox, hardsort, preciseworld, absoluteposition

CONCEPT circle (info | search),
imagined_entity (info | search)

WORLD

three_points [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1136 The removal of any one loop disentangles the whole arrangement vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-hand examples are called "Brunnian links".

REFERENCE

https://en.wikipedia.org/wiki/Brunnian_link

CROSSREFS

Adjacent-numbered pages:
BP1131 BP1132 BP1133 BP1134 BP1135  *  BP1137 BP1138 BP1139 BP1140 BP1141

KEYWORD

precise, hardsort

CONCEPT knot (info | search)

WORLD

link [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1137 Constructible Polygon vs. Non-constructible Polygon
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Straightedge_and_compass_construction


https://en.wikipedia.org/wiki/Constructible_polygon

CROSSREFS

Adjacent-numbered pages:
BP1132 BP1133 BP1134 BP1135 BP1136  *  BP1138 BP1139 BP1140 BP1141 BP1142

KEYWORD

stub, precise, math, hardsort, proofsrequired, preciseworld

AUTHOR

Jago Collins

BP1245 When two players alternate coloring regions, either can force connection from top edge to bottom edge vs. either can force connection from left edge to right edge.
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Hex_(board_game)

CROSSREFS

Adjacent-numbered pages:
BP1240 BP1241 BP1242 BP1243 BP1244  *  BP1246 BP1247 BP1248 BP1249 BP1250

KEYWORD

hard, precise, convoluted, dual, rotate, boundingbox, hardsort, challenge, proofsrequired, bordercontent

AUTHOR

Aaron David Fairbanks

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