Publications¶

JMU faculty highlighted in purple; student co-authors in gold.

2026¶

John C. Bowers (JMU faculty), Bradley McCoy (JMU faculty), Dema Nasrawt (student), and Aidan Pawlak (student). Spanning Trees Minimizing Geometric Indices. 33^rd Annual Fall Workshop on Computational Geometry, 2026 (to appear).

2024¶

John Bowers (JMU faculty) and Dakota Lawson (student). Escher: An Engine for Exploring Hierarchical Combinatorial Tilings. Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture, pp. 455-458, 2024.

2023¶

Seokpum Kim, John C. Bowers (JMU faculty), Kenneth Stephenson, Vlastimil Kunc, Ahmed Arabi Hassen, Lonnie J. Love, and Gregory D. Dreifus. Systems and methods for generating a graded lattice structure and their application to additive manufacturing. U.S. Patent 11,602,898 B2, 2023.

2019¶

John C. Bowers (JMU faculty), Philip L. Bowers, and Kevin Pratt. Almost all circle polyhedra are rigid. Geometriae Dedicata 203(1), pp. 337-346, 2019. doi:10.1007/s10711-019-00438-0

2018¶

Seokpum Kim, Gregory Dreifus, Bentley Beard, Andrew Glick, Andrew Messing, Ahmed Arabi Hassen, John Lindahl, Peng Liu, Tyler Smith, Jordan Failla, Brian Post, John C. Bowers (JMU faculty), Kenneth Stephenson, Lonnie Love, and Vlastimil Kunc. Graded Infill Structure of Wind Turbine Blade Accounting for Internal Stress in Big Area Additive Manufacturing. CAMX Conference Proceedings (CAMX 2018), Dallas, Texas(TP18-0534), 2018.

John Bowers (JMU faculty), Philip Bowers, and Kevin Pratt. Rigidity of circle polyhedra in the 2-sphere and of hyperideal polyhedra in hyperbolic 3-space. Transactions of the American Mathematical Society 371(6), pp. 4215-4249, 2018. doi:10.1090/tran/7483

2017¶

John C. Bowers (JMU faculty) and Philip L. Bowers. Ma–Schlenker c-Octahedra in the 2-Sphere. Discrete & Computational Geometry 60(1), pp. 9-26, 2017. doi:10.1007/s00454-017-9928-1

John C. Bowers (JMU faculty) and Philip L. Bowers. A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space. The American Mathematical Monthly 124(7), pp. 621-636, 2017. doi:10.4169/amer.math.monthly.124.7.621

Gregory Dreifus, Ben Rapone, John Bowers (JMU faculty), Xiang Chen (student), A. John Hart, and Bala Krishnamoorthy. A framework for tool path optimization in fused filament fabrication. Proceedings of the 1^st Annual ACM Symposium on Computational Fabrication (SCF '17), pp. 1-2, 2017. doi:10.1145/3083157.3092883

Seokpum Kim, Xiang Chen (student), Gregory Dreifus, John Lindahl, Inseung Kang, Jung-Hyun Kim, Mohamed Selim, David Nuttall, Andrew Messing, Andrzej Nycz, Robert Minneci, John C. Bowers (JMU faculty), Brittany Braswell, Byron Pipes, Ahmed Arabi Hassen, and Vlastimil Kunc. An Integrated Design Approach for Infill Patterning of Fused Deposition Modeling and its Application to an Airfoil. SAMPE Conference (SAMPE Seattle 2017), 2017.

2016¶

John C. Bowers (JMU faculty) and Ileana Streinu. Geodesic Universal Molecules. Mathematics in Computer Science 10(1), pp. 115-141, 2016. doi:10.1007/s11786-016-0253-5