Blog Post #15: Assignment 3: Draft resource list and format

-Will give an introduction about tessellations/tilings in general -> Give some background on M.C. Escher

Reference list:

Landau, T. (2019, May 10). Classifications of Frieze Groups and an Introduction to Crystallographic Groups. https://www.whitman.edu/documents/Academics/Mathematics/2019/Landau-Balof.pdf. Retrieved December 7, 2021, from https://www.whitman.edu/documents/Academics/Mathematics/2019/Landau-Balof.pdf.

O’Connor, J. J. O. (2000, May 1). Maurits Escher. MacTutor. Retrieved December 7, 2021, from https://mathshistory.st-andrews.ac.uk/Biographies/Escher/

Schattschneider, D. S. (2010). The Mathematical Side of M. C. Escher. Notices of the AMS, 706–719. https://www.ams.org/notices/201006/rtx100600706p.pdf

Films on M.C. Escher. (2021). M.C. Escher - The Official Website. Retrieved December 7, 2021, from https://mcescher.com/about/video-on-m-c-escher/

Escher in Het Paleis. (2021, August 9). Horseman. Retrieved December 7, 2021, from https://www.escherinhetpaleis.nl/story-of-escher/horseman/?lang=en

Medium: 

paint, coffee, permanent marker on canvas

"Horseman" by M. C. Escher. 

Blog Post #14: Assignment 2 takeaways from 4 presentations from each day (Nov. 10 & 15)

First day: 

1) Nadine's Presentation on Permutations on Combinations: Church bells rung based on calculated permutations to produce different tunes. 

2) Marlaina's Presentation on the History of Conic Sections: Historically recorded version of drawing circles by keeping one's elbow at the central point of the circle and rotating your hand in a circular motion.

3) Yiwei's Presentation on the History of Proportional Reasoning: The explanation about the translation of texts between Italians and Chinese on Rational Numbers to spread mathematical knowledge internationally. 

4) Alan's Presentation on Measurements and Units: 3 pieces of corn can approximate an inch. 

Second day:

 1) Ivan's presentation on the History of Modern Measurement: The measurement of distance using only time by the Indigenous people, as we still use this method casually in modern day,

2) Austin's presentation on the History of Combinatorics: A particular combinatorics puzzle existed in different cultures and eras, from Ancient Egypt to an English nursery rhyme in the early 1700's.

3) Emilie's presentation on the History of Geometric Constructions: Origami Applications in Satellites in order for the device to fold up.

4) Victor's presentation on the History of Non-Euclidean Geometry: The fact that there is no proof or disproof for the parallel postulate. 

Blog Post #13: Mathematics of medieval European universities

 Three things that surprised me from the article:

1) "Numbers were identified with the various gods. He considered the odd numbers to be male and the even ones to be female. He made a strange distinction between the "divine number," a sort of general concept of number which existed only in the mind of the creator-god, and scientific numbers, which were the common numbers known to men on earth." - pg. 267 I find it surprising that numbers were once identified with gods, as if nobody could really know where they came from. I am also curious about how they determined odd numbers to be male and even numbers to be female.

2) "The arithmetic of the schools did not receive the wholehearted approbation of all the people." - pg. 271 Considering how mathematics is used as a basis in many fields (such as science, engineering, architecture, etc...), I find it mind-boggling that it was once received as something rather trivial and not of importance. 

3) "Dialectic or logic became so important that it tended to obscure all the other arts." - pg. 270