Effect of polygon order on additively manufactured lattice structures: a method for defining the threshold resolution for lattice geometry

  • A. Alghamdi
  • B. Lozanovski
  • M. McMillan
  • R. Tino
  • D. Downing
  • X. Zhang
  • I. Kelbassa
  • P. Choong
  • M. Qian
  • M. Brandt
  • M. LearyEmail author


Additive manufacture (AM) enables the fabrication of highly efficient lattice structures. However, the mathematical efficiency of characterising AM lattice geometry can be poor, potentially restricting the commercial application of AM lattice structures. This research quantifies the effect of the polygon order used to characterise the geometric resolution of lattice strut elements on the associated manufacturability and geometric qualities of the manufactured lattice. The effect of these design parameters on manufactured quality is experimentally determined for aluminium and titanium specimens fabricated by selective laser melting (SLM), although the method can be generally applied to any AM technology. This research finds that geometric thresholds exist, below which additional geometric resolution does not result in increased part quality. These thresholds are a function of material, lattice inclination angle, cross-sectional area and the polynomial order used to represent the cross section. These findings enable significantly reduced computational cost in managing AM lattice structures, and can be directly integrated with algorithmic methods for the optimisation of AM lattice structures.


Selective laser melting (SLM) Electron beam melting (EBM) Lattice Design for additive manufacture Stereolithographic (STL) file format 



The authors acknowledge use of facilities within the RMIT Advanced Manufacturing Precinct and the RMIT Microscopy and Microanalysis Facility. This research was conducted by the Australian Research Council Industrial Transformation Training Centre in Additive Biomanufacturing (IC160100026) http://


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  • A. Alghamdi
    • 1
  • B. Lozanovski
    • 1
    • 2
  • M. McMillan
    • 1
  • R. Tino
    • 1
    • 2
  • D. Downing
    • 1
    • 2
  • X. Zhang
    • 1
  • I. Kelbassa
    • 3
  • P. Choong
    • 2
    • 4
  • M. Qian
    • 1
    • 2
  • M. Brandt
    • 1
    • 2
  • M. Leary
    • 1
    • 2
    Email author
  1. 1.RMIT Centre for Additive Manufacture, School of EngineeringRMIT UniversityMelbourneAustralia
  2. 2.ARC Training Centre in Additive BiomanufacturingBrisbaneAustralia
  3. 3.Siemens AG, Power and GasBerlinGermany
  4. 4.Department of SurgerySt. Vincent’s HospitalMelbourne VICAustralia

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