Mathematics and the Arts
About
Cordillera
Symmetry
Frieze Patterns
7 Frieze Groups
Mathematics and Arts, as fields of study, are viewed as separate things because they have different approaches and methods in understanding the world. The two subjects are traditionally segregated, depriving many of the knowledge of the strong, yet unexpected, connections between mathematics and art (Cooper, 2019). Despite misunderstandings and lack of information about the interconnections between Mathematics and Art, this website will show their significant relationship and how they are seen in the real world. Our aim is to let other people know that Math can produce, generate, inspire, and can also constrain Art. On the other hand, Art can illuminate and engender Mathematics. This website will look at how hidden mathematical concepts and procedures have been employed to improve the various characteristics of art, as well as how art has aided mathematics in an unexpected but crucial way.
In this website, the woven crafts of Cordillera and their relation to different mathematical concepts will be presented. In the woven craft of Cordillera, mathematical concepts such as geometric patterns, parallelism, symmetries, etc. are present. Even in the weaving process, time management, cost, and labor should be considered by the weaver.
In geometry, symmetry is defined as a balanced and proportionate similarity that is found in two halves of an object.​Symmetry establishes balance, and design balance establishes harmony, order, and aesthetically beautiful results. It can be found all over nature and even in the simple things we have in our daily lives that we barely notice. The four main types of symmetry that we will showcase in the textile of Cordillera Ethnic groups are: translation, reflection, glide reflection, and rotation.
A frieze pattern, also known as a border pattern, is a design that extends to the left and right in such a way that a horizontal translation can map it onto itself. Some frieze designs can be mapped onto themselves by additional transformations in addition to a horizontal translation.
References:
Cooper, L. (2019, August 10). Art and Mathematics. Retrieved August 24, 2021, from https://medium.com/nice-slice/art-and-mathematics-a2677a515450
​Frieze Patterns. (n.d.). Retrieved August 24, 2021, from https://mathstat.slu.edu/escher/index.php/Frieze_Patterns