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A Path of Your Own 013 This interactive work investigates the concepts of pattern making, modularity, randomness, and viewer engaged and generated art. The basis is a 4” square printed magnet that can be placed in any orientation so that its edges flow to its neighbors forming random paths. Viewers will be invited to take any piece and rotate it and place it back into its location. Each change in orientation will produce a unique overall pattern. This piece was inspired by the wall drawings of Sol LeWitt and the findings of Father Sebastien Truchet (1657-1729). In 1704, Truchet considered all possible patterns formed by the tiling of right triangles oriented at the four corners of a square. Each tile was identical but could be placed rotated and tiled to form interesting random non-repeating patterns. A modification of Truchet's tiles led Clifford Pickover in 1989 to a In this series, more than one point meeting along the edge is explored. For this work, Pattern 013 is used which has three meeting points along each edge. Also a non-symmetrical series of connectors are introduced. Over 60 different pattern combinations were explored before selecting Pattern 013 My own exploration in art consists of a series of paths taken and not taken, each part of great whole that is sometimes not well understood. These pieces allow me to investigate, what in life is at times difficult; what happens if you change your direction or decisions made on opportunities that are presented to you. In art I can visualize the entirely of such changes without real serious repercussions. The pieces also form some very interesting labyrinths which show how complex and rich life really is. They also show me that the path of the path, transitions from one point to another, are truly the hidden meaning and joy in life. It’s not the destination as much as the times spend on the path itself, said by many. The tiles or cubes give the viewer the same chance to pick an opportunity on their own. They can contemplate that in life many choices need to be made; some simple changes do not disrupt the whole much, but some do, and of course at some point your opportunities do end. It also lets the viewer see the whole and see where one paths leads to another; very difficult in actual life. The cubes offer another dimension to the paths; more complex than the tiles or the prints which freeze one set of decisions, the transparency allows them to see other paths not taken and what could happen; also not possible in actual life. . |

Infinitely Variable Tiling Patterns: From Truchet to Sol LeWitt Revisited

This paper is based on one presented at the ISAMA, Conference of The International Society the

Arts, Mathematics and Architecture, Chicago, Illinois, June, 2011,

titled "Truchet Tilings Revisited".