Mathematical Games & Recreations

• Convexity (a tangram-like puzzle on a grid of 30-60-90 triangles)
  • A Brief Bibliography
• The No-Three-in-Line Problem (some exposition, and some puzzles to solve)
• Slide/Swap (on cubic graphs)
• TacTix
• Tricolor Pyramid Puzzles
• Sliding Blocks: Transposition Puzzles
• Peg Solitaire
• Port-and-Sweep Solitaire:
  • Rules and Guidebook [start here]
  • Selected Puzzle Collection

Pretty Good Articles

These are a few of my favorite things:

• 2000 Braided Near-Group Categories [https://arxiv.org/abs/math/0011037]
• 2003 Near-Group Categories [https://doi.org/10.2140/agt.2003.3.719]
• 2010 How Long Until a Random Sequence Decreases? [https://www.jstor.org/stable/10.4169/002557010x529798]
• 2010 Port-and-Sweep Solitaire [https://doi.org/10.4169/194762110X525575]
• 2011 Depth and Symmetry in Conway's M₁₃ Puzzle [https://doi.org/10.4169/math.mag.84.4.243]
• 2012 The Finite Lamplighter Groups: A Guided Tour [https://doi.org/10.4169/college.math.j.43.3.203]
• 2012 Tiling Hamiltonian Cycles on the 24-Cell [https://doi.org/10.4169/amer.math.monthly.119.10.872 ]
• 2014 Selections Without Adjacency on a Rectangular Grid [https://arxiv.org/abs/1409.3869]
• 2019 How Many Unicycles on a Wheel? [https://doi.org/10.1080/0025570X.2019.1528096]
• 2019 XOR-Magic Graphs [https://doi.org/10.2478/rmm-2019-0004]
• 2020 Tricolor Pyramids [https://doi.org/10.1080/10724117.2019.1676117]
• 2023 New Problems in Port-and-Sweep Solitaire [https://doi.org/10.1080/07468342.2023.2235226]

With Onyebuchi Ekenta and Han Gil Jang:
• 2014 Slide-and-swap Permutation Groups [http://dx.doi.org/10.2140/involve.2014.7.41]

Slides from Recent Talks

I drew these!

• Wheel Graphs and Spanning Unicyclic Subgraphs
• Fractional Bases and Queuing

Course of Life

“Hello! I was born at an early age…

• Curriculum Vitæ [PDF]