Voderberg Tiles with Unique Properties

References

[1]   Heinz Voderberg, Zur Zerlegung der Umgebung eines ebenen Bereiches in kongruente. , Jahresbericht der Deutschen Mathematiker-Vereinigung (1936), Vol. 46, pp. 229-231
digizeitschriften PPN=GDZPPN002131773

[2]   Heinz Voderberg, Zur Zerlegung der Ebene in kongruente Bereiche in Form einer Spirale, Jahresbericht der DMV, Band 47, 1937, S.159f,
digizeitschriften PPN=GDZPPN002132079

[3]   Michael Goldberg, Central tesselations, Scr. Math. 21, 1955, pp. 253-260.

[4]   Casey Mann, A tile with surround number 2, The American Mathematical Monthly, Vol. 109, No. 4, April 2002, pp. 383-388

[5]   Jadie Adams, Gabriel Lopez, Casey Mann & Nhi Tran, YourFriendly Neighborhood Voderberg Tile, Mathematics Magazine 2020, 93:2, 83-90, DOI:10.1080/0025570X.2020.1708685

[6]   Branko Grübaum, G. C. Shephard, Tilings and Patterns, Second Edition, Dover Publications, 2016

[7]   Colin Adams, The Tiling Book, American Mathematical Society, 2022

[8]   Walter Trump, A New tile with surround number 2, ResearchGate, 383533412, 2024
A New tile with surround number 2

[9]   Walter Trump, The dragon tile and other solutions for enclosure problem, ResearchGate, 383839468, 2024
The dragon tile and other solutions for enclosure problem

[10]   Alexander Thomas, Christoph Standke, Frank Göring, Eigenartige Parkette, Jugend forscht 2011,
thomas-math.wixsite.com/maths/recherche (Projets et stages 2010)

[11]   Ralph Sontag, H. Geisler: Voderbergsche Neunecke und Voderbergsche Doppelspiralen,
www.mathe-insel.de/theorie/voderberg/

[12]   Wikipedia, Heinz Voderberg (1911-1945),
en.wikipedia.org/wiki/Voderberg_tiling

[13]   Arnaud Chéritat, tiling app

[14]   Dynamic Geometry App, GeoGebra.



Acknowledgements

I would like to thank the following experts for their helpful suggestions and corrections:
- Ortwin Schenker
...


 Walter Trump, Nürnberg, Germany, ms(at)trump.de, © 2020-02-12 (last modified: 2025-03-28)