All examples in this Bongard Problem are scatter plots. Each dot represents a data point.

"Positive correlation" means that when the X value increases, the Y value tends to increase as well (in the long run), while "negative correlation" means that when the X value increases, the Y value tends to decrease.

Adjacent-numbered pages:
BP1266 BP1267 BP1268 BP1269 BP1270  *  BP1272 BP1273 BP1274 BP1275 BP1276

Example TM4854 does not fit on either side because when the X value increases, the Y value stays the same.

Example TM4855 does not fit on either side because there is no correlation.

fuzzy, minimal, unwordable, teach, spectrum, dual, handed, leftright, updown, rotate, stable, hardsort, left-narrow, right-narrow

Ben

Players can only move their piece to a node connected to their current position. A win is secured by moving to a node your opponent is occupying.

Which player that can force a win in left-sorted examples can change depending on who moves first.

See BP1284 for an animated Problem about the same game.

Adjacent-numbered pages:
BP1277 BP1278 BP1279 BP1280 BP1281  *  BP1283 BP1284 BP1285 BP1286 BP1287

allsorted, unwordable, notso, teach

Leo Crabbe

In the depicted "capture game", the objective is to capture your opponent's piece by moving to a node they are occupying. Players take turns moving their pieces. You can only move to a node that is linked to yours. Optimal play can either lead to a win-lose state or a draw state.

A frame where only one black disc is visible signifies that a player has taken the other's piece, winning the game.

Adjacent-numbered pages:
BP1279 BP1280 BP1281 BP1282 BP1283  *  BP1285 BP1286 BP1287 BP1288 BP1289

teach, animated

Leo Crabbe