Abstract: Systems and methods for optimizing Boolean logic are provided. The systems generate a one-dimensional array having a plurality of values corresponding to a plurality of indices, and determine a first location of a Karnaugh map in a first dimension thereof. The first location is determined using a first value of the one-dimensional array corresponding to a first index of the one-dimensional array. The systems also determine a second location of the Karnaugh map in a second dimension thereof. The second location is determined using a second value of the one-dimensional array corresponding to a second index of the one-dimensional array. The systems evaluate a target location within the Karnaugh map corresponding to the first and second indices in the first and second dimensions of the Karnaugh map, respectively, and search for at least one of a simplified minterm and a simplified implicant having the target location using the one-dimensional array.

Abstract: Systems and methods for optimizing Boolean logic are provided. The systems generate a one-dimensional array having a plurality of values corresponding to a plurality of indices, and determine a first location of a Karnaugh map in a first dimension thereof. The first location is determined using a first value of the one-dimensional array corresponding to a first index of the one-dimensional array. The systems also determine a second location of the Karnaugh map in a second dimension thereof. The second location is determined using a second value of the one-dimensional array corresponding to a second index of the one-dimensional array. The systems evaluate a target location within the Karnaugh map corresponding to the first and second indices in the first and second dimensions of the Karnaugh map, respectively, and search for at least one of a simplified minterm and a simplified implicant having the target location using the one-dimensional array.

Abstract: A geometric toy construction system has a multiplicity of flat, polyagonal construction pieces interengageable edge-to-edge to form two- and three- dimensional constructions. The edgewise connectors enable the pieces to be snap-fit together and to rotate about the axis of interconnection. The connector sets are formed to allow four or more individual pieces to be snap-fit about a common axis. Attachment sites are also formed along the construction pieces, preferably at the corners thereof, to accomodate flexable connecting pipes in a friction-fit for corner-to-corner or apex-to-apex connection. Similarly, a soft, pliable ball member may be substituted for the pipe into which the connecting sites may be pressed. Elastic bands may also be secured between attachment sites to hold the construction together. The construction pieces may be color coded to indicate the edge size, size of the connector sets or selected types of pieces.