Papers in Journals / Artikel in Zeitschriften

Euclidean Constructions And The Geometry Of Origami, Mathematics Magazine, Vol. 68, Nr. 5, Dec. 1995, pp. 357-371

Mathematics Competitions For Students Under 15 In Austria (with/mit Gottfried Perz), Mathematics Competitions, Vol. 8, Nr. 2, 1995, pp. 10-31

Folding the Regular Heptagon, Crux Mathematicorum with Mathematical Mayhem, Vol 23, Nr. 2, March/März 1997, pp. 81-88 download (click here / hier anklicken)

Folding the Regular Nonagon, Crux Mathematicorum with Mathematical Mayhem, Vol 23, Nr. 4, May/Mai 1997, pp. 210-217 download (click here / hier anklicken)

25 Years (and more) of the Austrian Mathematical Olympiad (with/mit Thomas Mühlgassner and/und Gottfried Perz), Mathematics Competitions, Vol. 10, Nr. 1, 1997, pp. 79-96

Considering a Curious Quintic, Mathematics and Informatics Quarterly, Vol. 8, Nr. 1, 1998, pp. 7-11 

Einige Interessante Parabelvervollständigungskonstruktionen, Informationsblätter für Darstellende Geometrie (IBDG), Jg. 18, Heft 1/1999, pp. 14-19

also published as / auch erschienen als

Nekoliko interesantnih konstrukcija u potpunjavanja parabole, (translated by / übersetzt von Elma Hadzovic), Triangle Vol. 6, Nr. 1, October/Oktober 2002, pp. 13-20

Deriving Some Problems in Inequalities from an Accidental Generalization, Mathematics Competitions Vol. 12, Nr. 1, 1999, pp. 27-37

Domesticating the Kangaroo at BRG Keplerstrasse, Mathematics Competitions Vol. 12, Nr. 2, 1999, pp. 42-54 download (click here / hier anklicken)

Generalized Rearrangement Inequalities (with/mit Walther Janous), The American Mathematical Monthly, Vol. 108, Nr. 2, February/Februar 2001, pp. 158-165

Internationaler Wettbewerb Känguru der Mathematik (with/mit Michael Hofer), Internationale Mathematische Nachrichten (IMN), Nr. 187, August 2001, pp. 49-56 download (click here / hier anklicken)

Raumgeometrische Aufgaben im internationalen Wettbewerb Känguru der Mathematik (with/mit Michael Hofer), Informationsblatt für darstellende Geometrie (IBDG), Jg. 21, Heft 1/2002, pp. 4-5 download (click here / hier anklicken)

Zahlengolf, Internationale Mathematische Nachrichten (IMN), Nr. 191, Dezember 2002, pp. 29-38

download (click here / hier anklicken)       also published as / auch erschienen als

Číselný Golf, (translated by / übersetzt von Filip Švrček), Matematika Fyzika Informatika, Vol. 13, Nr. 6, 2004, pp.321-331

Numerical Polyhedron Problems, Mathematics Competitions Vol. 15, Nr. 2, 2002, pp.15-57 download (click here / hier anklicken)

A Local International Mathematics Competition (Special Edition) (with/mit Jaroslav Švrček), Mathematics Competitions, Vol 18, Nr. 1, 2005, pp. 39-51

Die 48. Internationale Mathematikolympiade in Hanoi, Internationale Mathematische Nachrichten (IMN), Nr. 206, Dezember 2007, ISSN 0020-7926, pp. 25-28

also published as / auch erschienen als

Mathematik-Olympiade; Bericht von der 48. Internationalen Mathematikolympiade in Hanoi, Vietnam, news & science, Nr. 18, Ausgabe 1, 2008, ISSN: 1992-8823, pp 44-45

Derde- en Vierde-Graads Vouwen (Dutch translation of the English original Paper Folding and Mathematics - An Introduction), Pythagoras, 48ste Jaargang, Nummer 5, April 2009, ISSN 0033 4766, pp. 18-22

Arbeitsblätter zum Thema "Papierfalten und Algebra", MU - Der Mathematikunterricht, Jahrgang 55, Heft 6, Dezember 2009, ISSN 0025-5807, pp. 33-47

die Arbeitsblätter gibt es hier / the worksheets can be downloaded (in German) here

Mathematics Competitions and a Career in Mathematics – some anecdotes from Austria",  Newsletter 3 of the International Group for Mathematical Creativity and Giftedness, downloadable at https://drive.google.com/file/d/0B0me59gP4o6DeTJZVmw0ejNjZWs/view, or here at MCG_Newsletter_3.pdf 

 

reprinted in Internationale Mathematische Nachrichten (IMN), Nr. 221, Dezember 2012, ISSN 0020-7926, pp. 43-46

Suchen nach der schönsten Aufgabe – Wie entstehen mathematische Wettbewerbe, Schriftenreihe zur Didaktik der Mathematik der Österreichischen Mathematischen Gesellschaft (ÖMG), Heft 44, Jänner 2012, pp.17-25  http://www.oemg.ac.at/DK/Didaktikhefte/2011%20Band%2044/VortragGeretschlaeger.pdf

Papierfalten und Mathematik – eine Einführung, Informationsblätter für Darstellende Geometrie (IBDG), Jg. 32, Heft 1/2013, pp. 16-21

A Paper About Pentagon Problems, Mathematics Competitions Vol. 27, Nr. 2, 2014, pp.7-33

Schachbrettaufgaben vom mathematischen Duell, Schriftenreihe zur Didaktik der Mathematik der Österreichischen Mathematischen Gesellschaft (ÖMG), Heft 50, 2017, pp.1-8 https://www.oemg.ac.at/DK/Didaktikhefte/2017%20Band%2050/VortragGeretschlaeger.pdf

Using Direct and Constructive Methods for the Existence of Origami Models with Given Boundary Conditions. (with/mit Stephen L. Keeling), Espacio Matemático Vol. 1 (No. 1) 2020, (ISSN: 2711-1792), pp. 54-71

https://revistas.uan.edu.co/index.php/espaciomatematico

https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1626/1246

Math Kangaroo, (with/mit Meike Akveld, Luis F. Caceres-Duque), Mathematics Competitions Vol. 33, Nr. 2, 2020, pp.48-66  wfnmc.org/Journal 2020 2.pdf

Writing and choosing problems for a popular high school mathematics competition, (with/mit Lukas Donner), ZDM-Mathematics Education Vol. 54, Issue 5, October 2022, pp.971-982  https://link.springer.com/article/10.1007/s11858-022-01351-9

The Road from Submission to Perfection, (with/mit Lukas Donner), Mathematics Competitions Vol. 35, Nr. 1, 2022, pp.30-48    http://wfnmc.org/Journal%202022%201.pdf

Mathematical Competitions Around the World in 2024 – an Approximation, Mathematics Competitions Vol. 37, Nr. 1, 2024, pp.9-26    https://wfnmc.org/Journal%202024%201.pdf

Simple Origami Models with Boundaries on the Edges of Platonic Solids, unpublished manuscript, 2024 download (click here / hier anklicken)