One of Yackel’s math crafting books
Carolyn Yackel is a math teacher who uses the principles of mathematics to make crochet and needlework art. Crochet presta-se surpreendentemente bem para uma representação tridimensional de conceitos matemáticos. E os números resultantes se prestam bem a arte, uma vez que são baseadas em princípios que são visualmente atraentes. Let’s explore all this a bit more …
Crochet and Math
Yackel is not the first mathematician to use crochet to express the principles of math. One of the people who is most well known in this area is Daina Taimina. In the late ’90s she realized that she could use crochet to take mathematic ideas that were difficult to grasp because the concepts were elusive and show them in a tangible way so that they would make more sense. Mais especificamente, Taimina realized that using a simple algorithm when crocheting could create mathematically pure figures that could help explain the complexities of geometry in a highly visual format. Margaret and Christine Wertheim used her ideas to create hyperbolic crochet pieces, which are the math-based crochet items used in their most famous project, the Hyperbolic Crochet Reef project. So to put it simply, math can be expressed through crochet.
The Beauty of Math
The next thing we have to consider here is that math naturally creates beauty. That sounds arguable but it’s actually got a basis. While beauty is in the eye of the beholder, there are certain things to which we are naturally drawn and those things are often based in math. The Fibonnaci sequence and the Golden Ratio are frequently correlated with things we find attractive and of course are both based on math. What this suggests then is that if you use mathematical principles to create visual items then you may increase your chances of creating an item that is visually appealing. And that’s how using crochet to express math can lead to crochet art.
Carolyn Yackel’s Crochet Art
Carolyn Yackel came to my attention because her work is part of a fiber art exhibit ending this week at 567 Center in Macon, Georgia. Here are some examples of her math in crochet action:
Fortunatus’s Purse Hat, a four-dimensional item which is tough for us to understand since we live in a three-dimensional world!
The Dual Seven Colored Tori, one knitted and one crocheted, que “o que implica que um gráfico de um toro requer no máximo sete cores, a fim de colorir os vértices, de modo que não há vértices ligados por uma aresta são da mesma cor.”
O Lorenz Manifold, malha à Yackel mas a idéia original de matemática-crochet para este vem Hinke M. Osinga & Bernd Krauskopf
Você já usou a matemática para fazer crochê, talvez tentando crochet hiperbólico?