We introduce a family of reconfiguration puzzles arising from ideas in geometry and topology. We present their construction from square-tiled shapes, discuss some of the underlying mathematics and describe how they are naturally associated to puzzle spaces which can be explored through visualization.Comment: 8 pages, presented at Bridges 202
My main research interest is combinatorics and discrete geometry. I study tilings in this context, w...
This thesis is about two types of puzzles. It is based on the two articles: Knight\u27s Tour on the ...
International audienceAn exploration of the Stomachion dissection puzzle provides an extension to th...
By using two different invariants for the Rubik’s Magic puzzle, one of metric type, the other of top...
In their article Numerical Patterns and Geometrical Configurations on pages 82-92 of Mathematics M...
We address the new problem of puzzle conversion and layout as a new application of graph drawing. We...
Farrell et al.\u27s contribution to Tribute to a Mathemagician . Related Articles: Games on Word Co...
Pentominoes – shapes made of five congruent squares – provide a natural platform for games and puzzl...
The children’s puzzle, sometimes called the Great Tantalizer, consists of four blocks each of whose ...
In this essay we present aperiodic sets of prototiles which shapes are based on the well-known Penro...
International audienceThis paper introduces two tiles whose tilings form a one-parameter family of t...
This article shines new light on the classical problem of tiling rectangles with squares efficiently...
This study proposes a method for producing an endless number of fractals using aperiodic substitutio...
We investigate the reconfiguration of $n$ blocks, or "tokens", in the square grid using "line pushes...
Graduation date: 2010Geometric Problems become increasingly intractable and difficult to visualize a...
My main research interest is combinatorics and discrete geometry. I study tilings in this context, w...
This thesis is about two types of puzzles. It is based on the two articles: Knight\u27s Tour on the ...
International audienceAn exploration of the Stomachion dissection puzzle provides an extension to th...
By using two different invariants for the Rubik’s Magic puzzle, one of metric type, the other of top...
In their article Numerical Patterns and Geometrical Configurations on pages 82-92 of Mathematics M...
We address the new problem of puzzle conversion and layout as a new application of graph drawing. We...
Farrell et al.\u27s contribution to Tribute to a Mathemagician . Related Articles: Games on Word Co...
Pentominoes – shapes made of five congruent squares – provide a natural platform for games and puzzl...
The children’s puzzle, sometimes called the Great Tantalizer, consists of four blocks each of whose ...
In this essay we present aperiodic sets of prototiles which shapes are based on the well-known Penro...
International audienceThis paper introduces two tiles whose tilings form a one-parameter family of t...
This article shines new light on the classical problem of tiling rectangles with squares efficiently...
This study proposes a method for producing an endless number of fractals using aperiodic substitutio...
We investigate the reconfiguration of $n$ blocks, or "tokens", in the square grid using "line pushes...
Graduation date: 2010Geometric Problems become increasingly intractable and difficult to visualize a...
My main research interest is combinatorics and discrete geometry. I study tilings in this context, w...
This thesis is about two types of puzzles. It is based on the two articles: Knight\u27s Tour on the ...
International audienceAn exploration of the Stomachion dissection puzzle provides an extension to th...