See also my Murdoch university home page )

2015_PRL_Schaller_frontcover2014_EPL_Mitschke_CoverThumbnail image of graphical abstract2012_Nachtrab_AdvEngMater_FrontiscpieceEvans_InAMaterialWorld_cover_20142015_MDMV_HardCore_Cover_smallyallingup_interface_focus_cover

  1. B.D. Wilts, B. Apeleo Zubiri, M.A. Klatt, B. Butz, M.G. Fischer, S.T. Kelly, E. Spiecker, U. Steiner, G.E. Schröder-Turk,Butterfly gyroid nanostructures as a time-frozen glimpse of intracellular membrane development“, Sci. Adv. 3, e1603119 (2017)
  2. M.A. Klatt, G.E. Schröder-Turk and K. Mecke, “Mean-intercept anisotropy analysis of porous media. I. Analytic formulae for anisotropic Boolean models“, Medical Physics, DOI:10.1002/mp.12281 (2017)
  3. M.A. Klatt, G.E. Schröder-Turk and K. Mecke, “Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative“, Medical Physics, DOI:10.1002/mp.12280 (2017)
  4. S.T. Hyde, G.E. Schröder-Turk, M.E. Evans and B.D. Wilts,  “Emergence and function of complex form in self-assembly and biological cells”,  Interface Focus 20170035,, not peer-reviewed, (2017)
  5. M. Saba, A.-L. Robisch, M. Thiel, O. Hess and G.E. Schröder-Turk, “Sheet-like chiro-optical material designs : C(Y) surfaces”, ICBO17-63, Proc. SPIE 10340, International Conference on Biophotonics V, 1034015 (2017)
  6. S. Weis, P.W.A. Schönhöfer, F.M. Schaller, M. Schröter, G.E. Schröder-Turk, “Pomelo, a tool for computing Generic Set Voronoi Diagrams of Aspherical Particles of Arbitrary Shape”, accepted for publication in Proceedings of Powders and Grains 2017 : 8th International Conference on Micromechanics of Granular Media, (refereed conference proceeding) EDP Sciences (2017)
  7. F. Schaller, H. Punzmann, G.E. Schröder-Turk and M. Saadatfar, “Towards minimal models for realistic granular materials: Tomographic analysis of bidispersed assemblies of ellipsoids”, accepted for publication in Proceedings of Powders and Grains 2017 : 8th International Conference on Micromechanics of Granular Media, (refereed conference proceeding) EDP Sciences (2017)
  8. Philipp W. A. Schönhöfer, Laurence J. Ellison, Matthieu Marechal, Douglas J. Cleaver, and Gerd E. Schröder-Turk, “Purely Entropic Self-Assembly of the Bicontinuous Ia(-3)d Gyroid-Phase”, Interface Focus 7, 20160161, (doi:10.1098/rsfs.2016.0161 (2017)
  9. M.E. Evans, G.E. Schröder-Turk, A.M. Kraynik, “A geometric exploration of stress in deformed liquid foams“, J. Phys.: Condens. Matter 29, 124004 (2017)
  10. A. Mughal, T. Libertiny, G.E. Schröder-Turk, “How bees and foams respond to curved confinement: level set boundary representations in the Surface Evolver“, Colloids and Surfaces A: Physicochemical and Engineering Aspects, (2017)
  11. A.P. Dabkowska, M. Valldeperas, C. Hirst, C. Montis, G.K. Palsson, M. Wang, S. Nöjd, L. Gentile, J. Barauskas, N-J. Steinke, G.E. Schröder-Turk, S. George, M. Skoda, T. Nylander, “Non-lamella lipid assembly at interfaces – controlling layer structure by responsive nanogel particles”,  Interface Focus 7, 20160150, doi:10.1098/rsfs.2016.0150 (2017)
  12. J. Hielscher, C. Pouya, P. Vukusic, G.E. Schröder-Turk, “Harmonic distortions enhance circular dichroism of dielectric single Gyroids”, Opt. Express 25(5), 5001-5017 (2017)
  13. A. Mughal, S. Cox, G.E. Schröder-Turk, “Curvature driven motion of soap cells in toroidal Hele-Shaw cells”, Interface Focus 7, 20160106, doi:10.1098/rsfs.2016.0106 (2017)
  14. M.A. Klatt, G.E. Schröder-Turk, K. Mecke, “Anisotropy in finite continuum percolation: Threshold estimation by Minkowski functionals“, accepted for publication in J. Stat Mech 2017, 023302, arxiv-version, (2017)
  15. B.P. Cumming, G.E. Schröder-Turk, S. Debbarma & M. Gu, “Bragg-mirror-like circular dichroism in bio-inspired quadruple-gyroid 4srs nanostructures”, Light: Science & Applications 6, e16192, doi: 10.1038/lsa.2016.192 (2017)
  16. M. Spanner, F. Höfling, S.C. Kapfer, K. Mecke, G.E. Schröder-Turk, and T. Franosch, “Splitting of the universality class of anomalous transport in crowded media”, Physical Review Letters 116, 060601, (arXiv version) (2016)
  17. M.A. Klatt, G. Last, K. Mecke, C. Redenbach, F.M. Schaller and G.E. Schröder-Turk, “Cell shape analysis of random tessellations based on Minkowski tensors”, (arxiv version), Springer Lecture Notes in Mathematics “Tensor Valuations and their Applications in Stochastic Geometry and Imaging”, vol 2177 (2016)
  18. H. Mitschke, F. Schury, F. Wein, K. Mecke, M. Stingl and G.E. Schröder-Turk, “Geometry – the leading parameter for the Poisson’s ratio of bending-dominated cellular solids”, International Journal of Solids and Structure 100, 1-10, doi:10.1016/j.ijsolstr.2016.06.027 (2016)
  19. N. Topic, F.M. Schaller, G.E. Schröder-Turk and T. Pöschel, “Microscopic structure of mono-disperse granular heaps and sediments of particles on inclined surfaces”, Soft Matter 12, 3184 – 3188 (2016)
  20. G.E. Schröder-Turk, “The Hard Core of Soft Matter: Kugelsysteme in der weichen Materie“, Mitteilungen der Deutschen Mathematiker Vereinigung (MDMV), not peer-reviewed, vol 23, issue 4, pages 208-217, (2015)
  21. C. Scholz, F. Wirner, M. Klatt, D. Hirneise, G.E. Schröder-Turk, K. Mecke, C. Bechinger, “Direct Relations between Morphology and Transport in Boolean Models“, Physical Review E 92, 043023 (2015)
  22. B. Winter, B. Butz, C. Dieker, G.E. Schröder-Turk, K. Mecke, E. Spieker, “Coexistence of both gyroid chiralities in individual butterfly wing scales of Callophrys rubi“, Proceedings of the National Academy of Sciences 112(42), 12911-12916 (2015)
  23. F. Turella, B. Cumming, G.E. Schröder-Turk, M. Gu, “Observation of optical activity in dielectric biomimetic 8-srs networks“, Optics Letters 40, 4795-4798 (2015)
  24. M.E. Evans & G.E. Schröder-Turk, “In a material world: hyperbolic geometry in biological materials”, Asia Pacific Mathematics Newsletter, Issue 2, September 2015 (popular science, not referreed, pdf)
  25. F.M. Schaller, S.C. Kapfer, J.E. Hilton, P. Cleary, K. Mecke, C. de Michele, T. Schilling, M. Saadatfar, M. Schröter, G.W. Delaney, G.E. Schröder-Turk, “Non-universal Voronoi cell shapes in amorphous ellipsoid packings“, EPL (Europhysics Letters) 111, 24002 (2015)
  26. F.M. Schaller, M. Neudecker, M. Saadatfar, G.W. Delaney, G.E. Schröder-Turk, and M. Schröter, “Local Origin of Global Contact Numbers in Frictional Ellipsoid Packings“, Phys. Rev. Lett. 114, 158001 (featured on PRL cover)
  27. S. Nachtrab, M.J.F. Hoffmann, S.C. Kapfer, G.E Schröder-Turk and Klaus Mecke, “Beyond the percolation universality class: the vertex split model for tetravalent lattices“, New J. Phys. 17, 043061 (2015) [pdf]
  28. C. Scholz, G.E. Schröder-Turk, and K. Mecke, “Pattern-fluid interpretation of chemical turbulence“, Phys. Rev. E 91, 042907 (2015)
  29. M. Saba and G.E. Schröder-Turk, “Block modes and evanescent modes of photonic crystals: weak form solutions based on accurate interface triangulation”, Crystals 5(1), 14-44 (2015)
  30. B. Schuetrumpf, M.A. Klatt, K. Iida, G.E. Schröder-Turk, J.A. Mahrun, K. Mecke and P.-G. Reinhard, “Appearance of the single gyroid network phase in ‘nuclear pasta’ matter”, Physical Review C 91, 025801 (2015)
  31. M.G. Fischer, S.T. Hyde, G.E. Schröder-Turk, “Comment on ‘Discovery of a tetracontinuous aqueous lyotropic network phase with unusual 3D-hexagonal symmetry’”, Softmatter 11, 1226-1227 (2015)
  32. B. Schuetrumpf, M.A. Klatt, K. Iida, G.E. Schröder-Turk, J.A. Maruhn, K. Mecke, P.G. Reinhard, “Minimal surfaces in nuclear pasta with time-dependent Hartree-Fock approach”, Proc. of the 52th international winter meeting on nuclear physics, 27-31 January 2014, Bormio/Italy (2014)
  33. M. Saba, B.D. Wilts, J. Hielscher and G.E. Schröder-Turk, “Absence of circular polarization in reflections of butterfly wing scales with chiral Gyroid structure”, Materials Today: Proceedings 1, 193-208 (2014)
  34. M.E. Evans and G.E. Schröder-Turk, “In a material world: Hyperbolische Geometrie in biologischen Materialien”, Mitteilungen der Deutschen Mathematiker-Vereinigung 22(3), 158-166 (2014)
  35. B.P. Cumming, M.D. Turner, G.E. Schröder-Turk, S. Debbarma, B. Luther-Davies and M. Gu, “Adaptive optics enhanced direct laser writing of high refractive index gyroid photonic crystals in chalcogenide glass”, Optics Express 22, 689-698 (2014)
  36. M.G. Fischer, L. de Campo, J.J.K. Kirkensgaard, S.T. Hyde, and G.E. Schröder-Turk, “The tricontinuous 3ths(5) phase: a new morphology in copolymer melts”, Macromolecules 47, 7424-7430 (2014)
  37. M. Saba, M.D. Turner, M. Gu, K. Mecke, and G.E. Schröder-Turk, “Chiral Photonic Crystals with 4-fold Symmetry: Band Structure and S-Parameters of Eight-Fold Intergrown Gyroid Nets”, Proceedings of SPIE Vol 8923, 89233T-1 (2013)
  38. M.E. Evans, A.M. Kraynik, D.A. Reinelt, K.  Mecke and G.E. Schröder-Turk, “Networklike Propagation of Cell-Level Stress in Sheared Random Foams”, Phys. Rev. Lett. 111, 138301 (2013)
  39. G.E. Schröder-Turk, R. Schielein, S.C. Kapfer, F.M. Schaller, G.W. Delaney, T. Senden, M. Saadatfar, T. Aste and K. Mecke, “Minkowski Tensors and Local Structure Metrics: Amorphous and Crystalline Sphere Packings”, AIP Conference Proceedings 1542, 349-352 (2013)
  40. H. Mitschke, G.E. Schröder-Turk, K. Mecke, P.W. Fowler, S.D. Guest, “Symmetry detection of auxetic behavior in 2D frameworks”, EPL 102, 66005 (2013)
  41. W. Mickel, S.C. Kapfer, G.E. Schröder-Turk, and K. Mecke, “Shortcomings of the bond orientational order parameters for the analysis of disordered particulate matter”, Journal of Chemical Physics 138, 044501 (2013)
  42. F.M. Schaller, S.C. Kapfer, M.E. Evans, M.J.F. Hoffmann, T. Aste, M. Saadatfar, K. Mecke, G.W. Delaney, and G.E. Schröder-Turk, “Set Voronoi diagrams of 3D assemblies of aspherical particles”, Philosophical Magazine 93, 3993-4017 (2013)
  43. G.E. Schröder-Turk, W. Mickel, S.C. Kapfer, F.M. Schaller, B. Breidenbach, D. Hug, K. Mecke, “Minkowski tensors of anisotropic spatial structure”, New Journal of Physics 15, 083028 (2013)
  44. H. Mitschke, V. Robins, K. Mecke, G.E. Schröder-Turk, “Finite auxetic deformations of plane tessellations”, Proceedings of the Royal Society A – Mathematical Physical and Engineering Sciences 469, 20120465 (2013)
  45. M.D. Turner, G.E. Schröder-Turk and M. Gu, “Biomimetic photonic materials by direct laser writing”, in ‘Laser Technology in Biomimetics’, Springer Berlin Heidelberg, pages 67-82 (2013)
  46. M.D. Turner, M. Saba, Q. Zhang, B.P. Cumming, G.E. Schröder-Turk, and M. Gu, “A chiral beamsplitter inspired by butterfly nanostructures”, Frontiers in Optics, post-deadline paper, doi: 10.1364/FIO.2013.FW6A.3 (2013)
  47. M. Saba, M.D. Turner, K. Mecke, M. Gu and G.E. Schröder-Turk, “Group theory of circular-polarization effects in chiral photonic crystals with four-fold rotation axes applied to the eight-fold intergrowth of gyroid nets”, Physical Review B 88(24), 245116 (2013)
  48. F.M. Schaller, M. Neudecker, M. Saadatfar, G.W. Delaney, K. Mecke, G.E. Schröder-Turk and M. Schroeter, “Tomographic analysis of jammed ellipsoid packings”, AIP Conference Proceedings 1542, 377-380 (2013)
  49. M.D. Turner, M. Saba, Q.M. Zhang, B.P. Cumming, G.E. Schröder-Turk, M. Gu, “Miniature chiral beamsplitter based on gyroid photonic crystals”, Nature Photonics 7(10), 801-805 (2013)
  50. G.E. Schröder-Turk, L. de Campo, M.E. Evans, M. Saba, S.C. Kapfer, T. Varslot, K. Grosse-Brauckmann, S. Ramsden and S.T. Hyde, Polycontinuous geometries for inverse surfactant phases with more than two aqueous network domains , Faraday Discussions 161, 215-247 (2013)
  51. M.E. Evans, J. Zirkelbach, G.E. Schröder-Turk, A.M. Kraynik, and K. Mecke, Deformation of Platonic foam cells: Effect on growth rate , Phys. Rev. E 85 , 061401 (2012)
  52. S.C. Kapfer, W. Mickel, K. Mecke, and G.E. Schröder-Turk, Jammed Spheres: Minkowski Tensors Reveal Onset of Local Crystallinity , Phys. Rev. E 85 , 030301(Rapid Communication) (2012)
  53. M. Saadatfar, M. Mukherjee, M. Madadi, G.E. Schröder-Turk, F. Garcia-Moreno, F.M. Schaller, S. Hutzler, A.P. Sheppard, J. Banhart, U. Ramamurty, Structural and Finite Element analysis of tomographic data for closed cell aluminum foam subject to uniaxial compression, Acta Materialia 60 (8), 36043615 (2012)
  54. C. Scholz, F. Wirner, J. Götz, U. Rüde, G.E. Schröder-Turk, K. Mecke and C. Bechinger, “Permeability of Porous Materials Determined from the Euler Characteristic”, Physical Review Letters 109, 264504 (2012)
  55. G.E. Schröder-Turk, T. Varslot, L. de Campo, S.C. Kapfer and W. Mickel, “A bicontinuous lipid mesophase geometry with hexagonal symmetry”, Langmuir 27(17), 10475–10483 (2011)
  56. S. Nachtrab, S. Kapfer, D. Rietzel, D. Drummer, M. Madadi, C.H. Arns, A.M. Kraynik, G.E. Schröder-Turk and K. Mecke, “Tuning elasticity of open-cell solid foams and bone scaffolds via randomized vertex connectivity”, Advanced Engineering Materials 14, 120-124 (2012)
  57. W. Mickel, G.E. Schröder-Turk and K. Mecke, “Tensorial Minkowski Functionals of Triply-Periodic Minimal Surfaces”, J. Roy. Soc. Interf. Focus, doi: 10.1098/rsfs.2012.0007 (2012)
  58. S.T. Hyde and G.E. Schröder-Turk, “Geometry of Interfaces: topological complexity in biology and materials”, Editorial and Introduction for issue of Interface Focus 5, organized by S.T. Hyde and G.E. Schröder-Turk, Interface Focus 2(5), 529-538 (2012)
  59. T. Franosch, M. Spanner, T. Bauer, G.E. Schröder-Turk, E. Frey, F. Höfling, “Space-resolved dynamics of a tracer in a disordered solid”, J. Non-Cryst. Solids 357, 472 (2011)
  60. S. Nachtrab, S.C. Kapfer, C.H. Arns, M. Madadi, K. Mecke and G.E. Schröder-Turk, “Morphology and Linear-Elastic Moduli of Random Network Solids”, Advanced Materials 23, 2633-2637 (2011)
  61. H. Mitschke, J. Schwerdtfeger, F. Schury, M. Stingl, C. Körner, R.F. Singer, V. Robins, K. Mecke, and G.E. Schröder-Turk, “Finding auxetic frameworks in periodic tessellations”, Advanced Materials 23, 2669-2674 (2011)
  62. M. Saba, M. Thiel, M.D. Turner, S.T. Hyde, M. Gu, K. Grosse-Brauckmann, D.N. Neshev, G.E. Schröder-Turk, “Circular dichroism in biological photonic crystals and cubic chiral nets”, Phys. Rev. Lett. 106, 103902 (2011)
  63. G.E. Schröder-Turk, W. Mickel, S.C. Kapfer, M.A. Klatt, F.M. Schaller, M.J.F. Hoffmann, N. Kleppmann, P. Armstrong, A. Inayat, D. Hug, M. Reichelsdorfer, W. Peukert, W. Schwieger and K. Mecke, “Minkowski Tensor Shape Analysis of Cellular, Granular and Porous Structures”, Advanced Materials 23, 2535-2553 (2011)
  64. M.D. Turner, G.E. Schröder-Turk and M. Gu, “Fabrication and characterization of three-dimensional biomimetic chiral composites”, Optics Express, 19(10), 10001-10008 (2011)
  65. S.C. Kapfer, S.T. Hyde, K. Mecke, C.H. Arns, and G.E. Schröder-Turk, “Minimal surface scaffold designs for tissue engineering”, Biomaterials 32(29), 6875-6882 (2011)
  66. G.E. Schröder-Turk, S. Wickham, H. Averdunk, F. Brink, J. Fitz-Gerald, L. Poladian, M.C. Large and S.T. Hyde, “The chiral structure of porous chitin within the wing-scales of Callophrys rubi”, J. Struct. Biol. 174, 290-295 (2011)
  67. S.C. Kapfer, W. Mickel, F.M. Schaller, M. Spanner, C. Goll, T. Nogawa, N. Ito, K. Mecke and G.E. Schröder-Turk , “Local anisotropy of fluids using Minkowski tensors”, J. Stat. Mech: Theory and Exp. 2010 , 11010 (2010)
  68. R.G.E. Kimber, A.B. Walker, G.E. Schröder-Turk and D.J. Cleaver, “Bicontinuous minimal surface nanostructures for polymer blend solar cells”, Phys. Chem. Chem. Phys. 12, 844 (2010)
  69. M. Spanner, F. Höfling, G.E. Schröder-Turk, K. Mecke and Th. Franosch, “Anomalous transport of a tracer on percolating clusters”, J. Phys.: Condens. Matter. 23, 234120, (2010)
  70. G.E. Schröder-Turk, W. Mickel, K. Mecke, G. Delanay, M. Saadatfar, T. Senden, T. Aste, “Disordered Spherical Bead Packs are Anisotropic”, Europhys. Lett. 90 (3), 34001 (2010)
  71. G.E. Schröder-Turk, S. Kapfer, B. Breidenbach, D. Hug, C. Beisbart and K. Mecke, “Tensorial Minkowski functionals and anisotropy measures for planar patterns”, Journal of Microscopy, 238 (1), 57-74 (2010)
  72. G.E. Schröder-Turk, S. Kuczera, D. Hörndlein, F. Krach, T. Hiester and K. Mecke, “Monte-Carlo simulations of confined hard sphere fluids”, in Proceedings of the 2009 UGA CCSP Workshop, Elsevier Procedia 3, 1493-1497 (2010)
  73. W. Mickel, S. Münster, L.M. Jawerth, D.A. Vader, D.A. Weitz, A.P. Sheppard, K. Mecke, B. Fabry and G.E. Schröder-Turk, Robust Pore Size Analysis of Filamentous Networks From 3D Confocal Microscopy, Biophysical Journal 95 (12), 6072-6080 (2008)
  74. G.E. Schröder-Turk, A. Fogden, and S.T. Hyde, “Local v/a variations as a measure of structural packing frustration in bicontinuous mesophases, and geometric arguments for an alternating Im(-3)m (IWP) phase in block-copolymers with polydispersity” , Eur. Phys. J. B 59 , 115-126 (2007)
  75. S.T. Hyde and G.E. Schröder-Turk, “Tangled (up in) cubes”, Acta Cryst A63 , 186-197 (2007)
  76. G.E. Schröder-Turk, A. Fogden and S.T. Hyde, “Bicontinuous geometries and molecular self-assembly: comparison of local curvature and global packing variations in genus-three cubic, tetragonal and rhombohedral surfaces”, European Journal of Physics B 54, 509-524 (2006)
  77. G.E. Schröder, “Skeletons in the Labyrinth – Medial Representations and packing properties of bicontinuous space partitions” , PhD thesis, Australian National University (2005)
  78. G.E. Schröder, A. Fogden and S.T. Hyde, “A rhombohedral family of minimal surfaces as a pathway between the P and D cubic mesophases”, Physica A 339, 137-144 (2004)
  79. S.T. Hyde and G.E. Schröder, “Novel surfactant mesostructural topologies: between lamellae and columnar (hexagonal) forms”, Curr. Opin. Colloid Interf. Sci. 8, 5-14 (2003)
  80. G.E. Schröder, S.J. Ramsden, A.G. Christy and S.T. Hyde, “Medial Surfaces of Hyperbolic Structures”, Eur. Phys. J. B 35, 551-564 (2003)
  81. G.E. Schröder, T. Knetter, M.A. Alava and H. Rieger, “Ground states versus low-temperature equilibra in random field Ising chains”, Eur. Phys. J. B 24, 101-105 (2001)
  82. T. Knetter, G.E. Schröder, M.A. Alava and H. Rieger, “Disorder-induced roughening transition of many elastic lines in a periodic potential”, Europhys. Lett. 55, 719-725 (2001)

(see also publication list on

Other written material

  1. David Salt, “Star Blocks – Nature’s Fantastic Brick” Popular Science Magazine ‘The Helix’ 91, 16-19 (2002), describing a art/science exploration of saddle shaped polyhedra between Stephen Hyde, Gilbert Riedelbauch an myself

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