AND OR NOT

AND OR NOT is a board game that involves the solving of 3D puzzles from the cubic shape.

GENETIC PROCESS

The game pieces were generated by combining Boolean operations (AND, OR, NOT) applied to semicubes. A semicube (semicubo) was defined as each of the parts into which a cube is divided by a plane that divides it into two solids of the same volume. There were considered only the four cases in which the section plane passes through vertices and/or midpoints (4M, 4V, 6M, 2M2V)

Three rules reduced the 2,500 possible cases to 23.

GOAL OF THE GAME

The goal of the game is to assemble 3D puzzles as quickly as possible, each composed of four pieces: one black, one white, and two of red, green, blue, or yellow.

The black piece (+) is connected to two colored pieces (-), as is the white piece (+), so black and white share only one edge, like the colored pieces.

If using only one set, the players are divided into two or three teams. By combining two sets, you can create up to four teams. The team that completes their puzzles first wins.

GAME MODE 1

An even number of cubes are placed in the center of the table. Teams, alternate, choosing one at a time until they run out or until they reach a predetermined number of cubes (in which case, the remaining cubes are set aside). Then, each team breaks up the cubes and passes them to the other team, or to the team on their left if there are three or four teams in play. Players attempt to reassemble the cubes. The solved puzzles are placed in the container one after the other. In the second round, teams exchange puzzles. A “draw” is played like the first round.

GAME MODE 2

An even number of cards are placed face-up in the center of the table. Teams alternate choosing one card at a time until they run out or until they reach a predetermined number of cards (in which case, the remaining cards are set aside). Then, teams exchange cards or pass them to the team on their left if there are three or four teams in play. All the pieces are shuffled and placed in the center of the table. Players search for pieces that match the pattern on the cards. The solved puzzles are placed in the container and the cards are set aside face down. In the second round, the two teams exchange cards. A “draw” is played like the first round.

GAME MODE 3

All the pieces are placed in the center of the table. Each team alternates selecting a black piece from the pile until they run out or until a predetermined number of pieces is reached (in which case, the remaining pieces are removed and set aside). Then, each team passes the black pieces to the other team or to the team on their left if there are three or four teams in play. Players search for the two colored pieces and the white piece to assemble with the black one. The solved puzzles are placed in the container. In the second round, the two teams exchange black pieces. A draw is played like the first round.

In all modes, at the end of the game, cards can help complete unsolved cubes.

TIMED GAME

For all game modes, you can set a maximum time limit (which varies depending on the difficulty of the game mode). At the end of the time limit, the team with the most points wins, according to the following rule:

black + 1 color/gray = 1 POINT

black + 2 colors/gray = 2 POINTS

complete cube = 4 POINTS

If there’s a tie, the team with the most completed cubes wins. You can play in three separate rounds, or by adding the points from the three rounds.

FAIR PLAY

Each combination should be attempted for a reasonably short time, moving two pieces at a time in front of you in mode 2 and one piece at a time in mode 3. Then, the pieces should be returned to the center of the table, as they may be used by your opponents.

USE OF 2 SETS

Is possible to combine the two sets to achieve a higher level of difficulty, alternating their usage or using them together. In the latter case, you can use up to 92 pieces to make 23 cubes. It will therefore be possible to play games with two, three, or four teams.

SET +

Sets + are reserved for the most skilled solvers and feature all gray pieces. The possible game modes are 1 and 2.

Pieces from the base set can be combined with those from the + set, thus forming new sets of increasing difficulty and usable in game modes 1 and 3:

A black + gray + gray + white

B black + gray + color + gray

C black + gray + gray + gray

SOLITIRE

The game can be used as a brain teaser, you can use or not use the cards.

TIPS

It is useful to note that the four pieces that make up a cube cannot be used to solve other puzzles. Each piece always consists of two faces that connect it to another piece and two, three, four, or five faces that belong to those of the complete cube. The connecting surfaces between two pieces necessarily have two symmetrical shapes.

There are only a limited number of shapes present in multiple cubes. To be sure you're connecting the right pieces, it's important to know that once you connect a colored or gray piece (-) to a black or white piece (+), or a gray piece (-) to another gray (+), you must create a semicube whose section is a square, a rectangle, a regular hexagon, or a rhombus.

KIT

Each set contains instructions, magnetic pieces (48 in Set 1 and 44 in Set 2), cards (12 in Set 1 and 11 in Set 2), containers for the solved puzzles, and a white or gray cube (in Set 2).

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