Burkard Polster

Assoc Professor

1992 …2018
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Research Output 1992 2018

2018

Marching in Squares

Polster, B. & Ross, M., 2018, In : The College Mathematics Journal. 49, 3, p. 181-186 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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2017

A Dingo Ate My Math Book: Mathematics from Down Under

Polster, B. & Ross, M., 2017, Providence RI USA: American Mathematical Society. 253 p.

Research output: Book/ReportBookOtherpeer-review

Stacking Wine Bottles Revisited

Polster, B., 2017, The Best Writing on Mathematics 2016. Pitici, M. (ed.). Princeton NJ USA: Princeton University Press, p. 48-65 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Otherpeer-review

The Intersection Game

Polster, B., 2017, The Best Writing on Mathematics 2016. Pitici, M. (ed.). Princeton NJ USA: Princeton University Press, p. 77-85 9 p.

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Otherpeer-review

2016

Kenichi Miura's Water Wheel, or The Dance of the Shapes of Constant Width

Polster, B., 2016, The Best Writing on Mathematics 2015. Pitici, M. (ed.). Princeton NJ USA: Princeton University Press, p. 119-131 13 p.

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Otherpeer-review

2 Citations (Scopus)

One-glance(ish) proofs of Pythagoras’ theorem for 60-degree and 120-degree triangles

Polster, B. & Ross, M., Feb 2016, In : Mathematics Magazine. 89, 1, p. 47-54 8 p.

Research output: Contribution to journalArticleResearchpeer-review

2015

DO THE MATH! Fibonacci or Fairy Tale?

Polster, B. & Ross, M., Feb 2015, In : Math Horizons. 22, 3, p. 16-17 2 p.

Research output: Contribution to journalArticleOther

Stacking wine bottles revisited

Polster, B. M., 2015, In : Mathematical Intelligencer. 37, 2, p. 43-51 9 p.

Research output: Contribution to journalArticleResearchpeer-review

The Intersection Game

Polster, B., 2015, In : Math Horizons. 22, 4, p. 8-11 4 p.

Research output: Contribution to journalArticleOther

2014

DO THE MATH!: TracTricks

Polster, B., Apr 2014, In : Math Horizons. 21, 4, p. 18-19 2 p.

Research output: Contribution to journalArticleOther

Kenichi Miura's water wheel, or the dance of the shapes of constant width

Polster, B. M., 2014, In : Mathematical Intelligencer. 36, 2, p. 30 - 36 7 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Viviani a la Kawasaki: take two

Polster, B. M., 2014, In : Mathematics Magazine. 87, 4, p. 280 - 283 4 p.

Research output: Contribution to journalArticleResearchpeer-review

2013

The Movies Have Your Number

Polster, B. & Ross, M., 2013, In : Vinculum. 50, 3, p. 4-8 5 p.

Research output: Contribution to journalArticleOther

Write Your Own Recipe for Rubik’s Cube

Polster, B., Apr 2013, In : Math Horizons. 20, 4, p. 23-25 3 p.

Research output: Contribution to journalArticleOther

2012
1 Citation (Scopus)

A case of continuous hangover

Polster, B. M., Ross, M. & Treeby, D., 2012, In : American Mathematical Monthly. 119, 2, p. 122 - 139 18 p.

Research output: Contribution to journalArticleResearchpeer-review

Book Review: Essential Mathematical Methods 3&4 CAS

Polster, B. M., Ross, M. & Treeby, D., 2012, In : Vinculum. 49, p. 8-12 5 p.

Research output: Contribution to journalComment / DebateOther

4 Citations (Scopus)

Math Goes to the Movies

Polster, B. & Ross, M., 2012, Baltimore MD USA: The Johns Hopkins University Press. 286 p.

Research output: Book/ReportBookOtherpeer-review

2011

La matematica della giocoleria

Polster, B. M., 2011, La Matematica. Bartocci, C. & Odifreddi, P. (eds.). Torino Italy: Guilio Einaudi Editore, p. 573 - 601 29 p.

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Other

Minimizing the Foot print of Your Laptop (On Your Bedside Table)

Polster, B., 2011, In : Mathematical Intelligencer. 33, p. 33 - 35 3 p.

Research output: Contribution to journalArticleOtherpeer-review

2010

Mathematical rugby

Polster, B. & Ross, M., 2010, In : Mathematical Gazette. 94, 531, p. 450 - 463 14 p.

Research output: Contribution to journalArticleResearchpeer-review

2008

Eye Twisters

Polster, B. M., 2008, Ambrigrams & Other Visual Puzzles to Amaze and Entertain, p. 1 - 236 236 p.

Research output: Contribution to specialist publicationCreative WorkOther

2007

Mathematical table-turning revisited

Baritompa, B., Lowen, R., Polster, B. M. & Ross, M., 2007, In : Mathematical Intelligencer. 29, 2, p. 49 - 58 10 p.

Research output: Contribution to journalArticleResearchpeer-review

Virtual points and separating sets in spherical circle planes

Polster, B. M. & Steinke, G. F., 2007, In : Beitrage zur Algebra und Geometrie. 48, 2, p. 443 - 467 25 p.

Research output: Contribution to journalArticleResearchpeer-review

2006

The Shoelace Book - A Mathematical Guide to the Best and Worst Ways to Lace Your Shoes

Polster, B. M., 2006, 1 ed. Providence USA: American Mathematical Society. 122 p.

Research output: Book/ReportBookResearchpeer-review

2005

Linear geometries on the moebius strip: A theorem of Skornyakov type

Lowen, R. & Polster, B. M., 2005, In : Bulletin of the Australian Mathematical Society. 72, 1, p. 17 - 30 14 p.

Research output: Contribution to journalArticleResearchpeer-review

2004

On the Kleinewillinghfer types of flat Laguerre planes

Polster, B. M. & Steinke, G. F., 2004, In : Results in Mathematics. 46, p. 103 - 122 20 p.

Research output: Contribution to journalArticleResearchpeer-review

Q.E.D. Beauty in mathematical proof

Polster, B., 2004, Melbourne VIC Australia: Text Publishing Company. 58 p.

Research output: Book/ReportBookOther

5 Citations (Scopus)

Variations on a theme in paper folding

Polster, B. M., 2004, In : American Mathematical Monthly. 111, 1, p. 39 - 47 9 p.

Research output: Contribution to journalArticleResearchpeer-review

2003

The Mathematics of Juggling

Polster, B. M., 2003, 1 ed. New York NY USA: Springer-Verlag London Ltd. 221 p.

Research output: Book/ReportBookResearchpeer-review

2002
2 Citations (Scopus)

Centering small generalized polygons - projective pottery at work

Polster, B. M., 2002, In : Discrete Mathematics. 256, p. 373 - 386 14 p.

Research output: Contribution to journalArticleResearchpeer-review

10 Citations (Scopus)

What is the best way to lace your shoes?

Polster, B. M., 2002, In : Nature. 520, 5 December, p. 476 - 476 1 p.

Research output: Contribution to journalArticleResearchpeer-review

2001

Ambigrams - One of Escher's blind spots

Polster, B. M., 2001, Mathematics & Design 2001. Burry, M., Datta, S., Dawson, A. & Rollo, J. (eds.). Geelong Vic Australia: Deakin University, p. 323 - 331 9 p.

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

7 Citations (Scopus)

Generalized flatland

Polster, B. M., Schroth, A. E. & Van Maldeghem, H., Sep 2001, In : Mathematical Intelligencer. 23, 4, p. 33-46 14 p.

Research output: Contribution to journalArticleResearchpeer-review

Geometries on Surfaces

Polster, B. M. & Steinke, G. F., 2001, Cambridge UK: Cambridge University Press. 490 p.

Research output: Book/ReportBookResearchpeer-review

4 Citations (Scopus)

Some constructions of small generalized polygons

Polster, B. M. & Van Maldeghem, H., 2001, In : Journal of Combinatorial Theory - Series A. 96, p. 162 - 179 18 p.

Research output: Contribution to journalArticleResearchpeer-review

Topological homology semi-biplanes

Polster, B. M. & Schroth, A. E., 2001, In : Monatshefte fur Mathematik. 132, p. 67 - 84 18 p.

Research output: Contribution to journalArticleResearchpeer-review

2000
5 Citations (Scopus)

A family of 2-dimensional Laguerre planes of generalised shear type

Polster, B. & Steinke, G. F., Feb 2000, In : Bulletin of the Australian Mathematical Society. 61, 1, p. 69-83 15 p.

Research output: Contribution to journalArticleResearchpeer-review

Squaring the Triangle

Polster, B., 2000, In : Geometriae Dedicata. 83, 1-3, p. 229-243 15 p.

Research output: Contribution to journalArticleResearchpeer-review

1999
2 Citations (Scopus)

Yea why try her raw wet hat: A tour of the smallest projective space

Polster, B., 1999, In : Mathematical Intelligencer. 21, 2, p. 38-43 6 p.

Research output: Contribution to journalArticleResearchpeer-review

1998

A Geometrical Picture Book

Polster, B., 1998, New York NY USA: Springer. 291 p.

Research output: Book/ReportBookOtherpeer-review

1 Citation (Scopus)

Integrating n-unisolvent sets of functions

Polster, B., 1 Apr 1998, In : Archiv der Mathematik. 70, 4, p. 313-318 6 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Invertible Sharply n-Transitive Sets

Polster, B., Feb 1998, In : Journal of Combinatorial Theory. Series A. 81, 2, p. 231-254 24 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

N-unisolvent sets and flat incidence structures

Polster, B., 1998, In : Transactions of the American Mathematical Society. 350, 4, p. 1619-1641 23 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Pretty pictures of geometries

Polster, B., May 1998, In : Bulletin of the Belgian Mathematical Society - Simon Stevin. 5, 2-3, p. 417-425 9 p.

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Semi-Biplanes and Antiregular Generalized Quadrangles

Polster, B. & Schroth, A. E., 1998, In : Geometriae Dedicata. 69, 2, p. 207-221 15 p.

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Toroidal circle planes that are not Minkowski planes

Polster, B., 1998, In : Journal of Geometry. 63, 1-2, p. 154-167 14 p.

Research output: Contribution to journalArticleResearchpeer-review

1997
1 Citation (Scopus)

Abstract hyperovals and Hadamard designs

Polster, B., 1997, In : Australasian Journal of Combinatorics. 16, p. 29-33 5 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Flat Circle Planes as Integrals of Flat Affine Planes

Polster, B., 1997, In : Geometriae Dedicata. 67, 2, p. 149-162 14 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Half-ovoidal flat Laguerre planes

Polster, B., Rosehr, N. & Steinke, G. F., 1997, In : Journal of Geometry. 60, 1-2, p. 113-126 14 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

On the existence of topological ovals in flat projective planes

Polster, B., Rosehr, N. & Steinke, G. F., 2 May 1997, In : Archiv der Mathematik. 68, 5, p. 418-429 12 p.

Research output: Contribution to journalArticleResearchpeer-review