Taxicab Geometry

References

Readings

Artmann, B. (2023, September 27). Euclidean geometry. Encyclopædia Britannica. https://www.britannica.com/science/Euclidean-geometry

Gardner, M. (1997). The Last Recreations. Springer Verlag, New York.

Golland, L. (1990). Karl Menger and Taxicab Geometry. Mathematics Magazine, 63 (5), 326-327.

Grunbaum, B. (1981). Shouldn't We Teach GEOMETRY?. The Two-Year College Mathematics Journal, 12(4), 232-238.

Hansha, O. (2023). When pi doesn’t equal 3.14... And Other Properties of Circles in the Lᵖ Norm Medium. https://ozanerhansha.medium.com/when-pi-doesnt-equal-3-14-73be75b2b90f

Henderson, D. W. and Taimina, D. (2023). non-Euclidean geometry. Encyclopedia Britannica. https://www.britannica.com/science/non-Euclidean-geometry

Hickey, W. (2015). How many digits of pi you have to have memorized to be special. FiveThirtyEight. https://fivethirtyeight.com/features/how-many-digits-of-pi-you-have-to-have-memorized-to-be-special/#:~:text=When%20it%20comes%20to%20how,will%20really%20need%20to%20know.&text=If%20you%20can%20get%20to,5%20percent%20of%20pi%20memorizers

Kemp, A. (2018), "Generalizing and Transferring Mathematical Definitions from Euclidean to Taxicab Geometry." Dissertation, Georgia State University. DOI: 10.57709/12521263.

Krause, E. F. (1987). Taxicab geometry: An adventure in non-euclidean Geometry. Dover Publications.

Kunwar, R. (2020). EXPLORING CONCEPTS AND APPLICATIONS OF TAXICAB GEOMETRY. International Journal of Development Research. Retrieved from https://www.researchgate.net/publication/343848173_EXPLORING_CONCEPTS_AND_APPLICATIONS_OF_TAXICAB_GEOMETRY

Oladosu, L. O. (2014). Secondary School Students’ Meaning and Learning of Circle Geometry. Doctoral dissertation, University of Calgary, Calgary, Alberta, CA.

Perball, O. (2017). On Taxicab Geometry. Retrieved from https://www.researchgate.net/publication/351365475_On_Taxicab_Geometry

Reinhardt, C. (2005). Taxi Cab Geometry: History and applications! The Mathematics Enthusiast, 2(1), 38–64. DOI: 10.54870/1551-3440.1018.

Reynolds, B. E. (1980). TAXICAB GEOMETRY. Pi Mu Epsilon Journal, 7(2), 77–88. Retrieved from http://www.jstor.org/stable/24339809

Images

Listed in the order they appear

Royal Astronomical Society/science Photo Library, (2021). Euclid [Photograph]. fineartamerica. https://fineartamerica.com/featured/euclid-royal-astronomical-societyscience-photo-library.html

O'Connor, J. J. and Robertson, E.F. (2015). Hermann Minkowski [Photograph]. MacTutor. https://mathshistory.st-andrews.ac.uk/Biographies/Minkowski/

O'Connor, J. J. and Robertson, E.F. (2014). Karl Menger [Photograph]. MacTutor. https://mathshistory.st-andrews.ac.uk/Biographies/Menger/

Bartel, W., Christian, T., Erik, G., & Gloria, L. (2023). Euclid's axioms and Euclid's common notions. Encyclopædia Britannica. https://www.britannica.com/topic/Elements-by-Euclid

Kemp, A. (2018). Visual representations of Euclidean distance and Taxicab distance, respectively. Dissertation, Georgia State University. DOI: 10.57709/12521263.

Psychonaut (2006). Taxicab geometry versus Euclidean distance. Wikipedia. https://en.wikipedia.org/wiki/Taxicab_geometry#/media/File:Manhattan_distance.svg

Hansha O. (2013). Medium. https://ozanerhansha.medium.com/when-pi-doesnt-equal-3-14-73be75b2b90f

Qef (2008). Points on three circles. Wikipedia. https://en.wikipedia.org/wiki/Taxicab_geometry#/media/File:TaxicabGeometryCircle.svg

Kemp, A. (2018). Visual representations of Euclidean and Taxicab circle each with center (3,3) and radius 2. Dissertation, Georgia State University. DOI: 10.57709/12521263.

Hansha, O. (2013). Unit circles (radius = 1) in the L¹, L^1.5, L², L³,L⁶, and L^∞ norms. Medium. https://ozanerhansha.medium.com/when-pi-doesnt-equal-3-14-73be75b2b90f

Roth, L. (2022). The Midterm Experience. Sub-Experience Two: Strange Walks. Math 3110: Discrete Mathematics. Utah State University.