Publications

    Books

  1. A Geometrical Picture Book

    2. Universitext Series, Springer-Verlag, New York, 1998.
     
  2. Geometries on Surfaces (with GF Steinke)

    3. Encyclopedia of Mathematics and its Application 84, Cambridge University Press, 2001.
     
  3. The Mathematics of Juggling

    4. Springer-Verlag, New York, 2003.
     
  4. Q.E.D.: Beauty in Mathematical Proof

    5. Walker, New York, 2004.
     
  5. Les ambigrammes: l'art de symetriser les mots

    6. Editions Ecritextes, New York, 2004.
     
  6. The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace Your Shoes

    7. The American Mathematical Society, Providence, 2006.
     
  7. Eye Twisters: Ambigrams & Other Visual Puzzles to Amaze and Entertain

    8. Constable & Robinson, London, 2007.
     

    Book Chapter

  8. Halbe Doppeldecker-Anschauliche Modelle von Semibiplanes (with A Schroth)

    9. Uberblicke Mathematik 1998, A Beutelspacher et al. eds., pp. 128-137, Vieweg, Braunschweig, 1997.
     

    Papers

  9. The groups of projectivities of B-ovals

    10. Geom. Dedicata 41, (1992), 337-359.
     
  10. Topological ovals in 4-dimensional translation planes (with D. Betten)

    11. Arch. Math. 63, (1994), 284-288.
     
  11. Criteria for two-dimensional circle planes (with G. F. Steinke)

    12. Beitr. Alg. Geom. 35 (1994), 181-191.
     
  12. Elementary constructions of locally compact affine planes

    13. Geom. Dedicata 56 (1995), 155-175.
     
  13. Characterizations of analytic planar functions

    14. J. Combin. Theory Ser A 71 (1995), 335-339.
     
  14. Integrating and differentiating two-dimensional incidence structures

    15. Arch. Math. 64 (1995), 75-85.
     
  15. A sufficient condition for planar partition functions

    16. Arch. Math. 65 (1995), 176-184.
     
  16. Integrating completely unisolvent functions

    17. J. Approx. Theory 82 (1995), 434-439.
     
  17. Semi-biplanes on the cylinder

    18. Geom. Ded. 58 (1995), 145-160.
     
  18. Cut and paste in 2-dimensional projective planes and circle planes (with G. F. Steinke)

    19. Canad. Math. Bull. 38 (1995), 469-480.
     
  19. Maximal arcs in the complex projective plane

    20. J. Geom. 54 (1995), 115-122.
     
  20. Recycling circle planes

    21. Bull. Austral. Math. Soc. 53 (1996), 325-340.
     
  21. The piecewise projective group as group of projectivities

    22. Results Math. 30 (1996), 122-135.
     
  22. Continuous planar functions

    23. Abh. Math. Sem. Univ. Hamburg 66 (1996), 113-129.
     
  23. Abstract hyperovals and Hadamard designs

    24. Australas. J. Comb. 16 (1997), 29-34.
     
  24. Flat circle planes as integrals of flat affine planes

    25. Geom. Dedicata 67 (1997), 149-163.
     
  25. The inner and outer space of 2-dimensional Laguerre planes (with G. F. Steinke)

    26. J. Austral. Math. Soc., Series A 62 (1997), 104-127.
     
  26. On the existence of topological ovals in flat projective planes (with N. Rosehr and G F Steinke)

    27. Arch. Math. 68 (1997), 418-429.
     
  27. Half-ovoidal flat Laguerre planes (with N. Rosehr and G. F. Steinke)

    28. J. Geom. 60 (1997), 113-126.
     
  28. Split Semi-Biplanes in Antiregular Generalized Quadrangles (with A. Schroth)

    29. Bull. Belg. Math. Soc. 4 (1997), 625-637.
     
  29. N-unisolvent sets and flat incidence structures

    30. Trans. Amer. Math. Soc. 350 (1998), 1619-1641.
     
  30. Invertible sharply n-transitive sets

    31. J. Combin. Theory Ser. A 81 (1998), 231-254.
     
  31. Toroidal circle planes that are not Minkowski planes

    32. J. Geom. 63 (1998), 154-167.
     
  32. Integrating n-unisolvent sets of functions

    33. Arch. Math. 70 (1998), 231-254.
     
  33. Plane models of semi-biplanes (with A. Schroth)

    34. Beitr. Alg. Geom. 39 (1998), 135-153.
     
  34. Semi-biplanes and antiregular generalized quadrangles (with A. Schroth)

    35. Geom. Dedicata 69 (1998), 207-221.
     
  35. Pretty pictures of geometries

    36. Bull. Belg. Math. Soc. 5 (1998), 415-425.
     
  36. Separating sets in interpolation and geometry

    37. Aequationes Math. 56 (1998), 201-215.
     
  37. Four-dimensional compact projective planes of orbit type (1,1) (with D. Betten)

    38. Results Math. 36 (1999), 208-236.
     
  38. Yea why try her raw wet hat: a tour of the smallest projective space

    39. Math. Intelligencer 2 (1999), 38--43.
     
  39. A family of 2-dimensional Laguerre planes of generalised shear type (with G.F. Steinke)

    40. Bull. Austral. Math. Soc. 61 (2000), 69-83.
     
  40. Squaring the triangle.

    41. Geom. Dedicata 83 (2000), 229-243.
     
  41. Mathemagical Ambigrams

    42. Proceedings of the Mathematics and Art Conference 2000, Bond University, 10-12 December 2000, pp. 21-32.
     
  42. Topological homology semi-biplanes (with A. Schroth)

    43. Monatsh. Math. 132 (2001), 67-84.
     
  43. Ambigrams-one of Escher's blind spots

    44. Proceedings of the 3rd International Conference on Mathematics and Design 2001, Deakin University Geelong, 3-5 July 2001, pp. 323-331.
     
  44. Some Constructions of small generalized polygons (with H. Van Maldeghem)

    45. J. Combin. Theory Ser. A. 96 (2001), 162-179.
     
  45. Generalized Flatland (with H. Van Maldeghem and A. Schroth)

    46. Math. Intelligencer 23 (2001), 33-47.
     
  46. Centering small generalized polygons-projective pottery at work

    47. Discrete Math., 254 (2002), 373-386.
     
  47. What is the best way to lace your shoes

    48. Nature, 420 (2002), 470.
     
  48. Variations on a theme in paper folding

    49. Amer. Math. Monthly, 111 (2004), 39-47.
     
  49. On the Kleinewillinghöfer types of flat Laguerre planes (with G. F. Steinke)

    50. Results Math., 46 (2004), 103-122.
     
  50. Linear geometries on the Möbius strip: a theorem of Skornyakov type (with R. Löwen)

    51. Bull. Austral. Math. Soc., 72 (2005), 17-30.
     
  51. Mathematical table turning revisited (with B. Baritompa, R. Löwen and M. Ross)

    52. Math. Intelligencer, 29 (2007), 49-58.
     

    Miscellaneous

  52. Mathsnacks (with Marty Ross)

    53. A regular column since 2004 in Vinculum, the quarterly magazine for secondary teachers published by the Mathematical Association of Victoria.
     
  53. Maths Masters (with Marty Ross)

    54. A (semi-)regular weekly column in the Education Age (Melbourne) since July, 2007.