Faye E Goldman
I have been doing origami since elementary school. I was drawn to modular origami by its structure and mathematical properties. This is the medium in which I work. More recently, I found the Snapology technique by H. Strobl, which allows creativity with very few rules using only strips of material. I like to use beautiful ribbon which seems to add another dimension to my work. Snapology has allowed me to dig deeply into mathematical shapes. It has provided insights into mathematical concepts and ideas. I wrote, 'Geometric Origami', published by Thunder Bay Press. It is the first book completely dedicated to the Snapology technique. The bottom line is that I make these wonderful works because they look really cool.
While I was working on the Dodecahedral 11 Hole Torus, I realized that when I was finished, no one would ever be able to see the inner structure. I thought the inner structure was almost as neat as the finished model and wanted to be able to share the inside.
I was blown away with David Honda's Dodecahedal 11 Hole Torus at the JMM 2018 Exhibition of Mathematical Art in San Diego. I wanted to try to make one of my own in order to understand the structure. The finished structure is based on a dodecahedron. Each pentagonal face has a funnel pointing into the center. These 12 funnels meet inside in another dodecahedral structure. Only triangles are used in the entire model. Most of the vertices are of degree 6 (6 triangles meet at a point). There are 120 vertices of degree 7. Half of these are barely visible. The other half are buried inside. They force the negative curvature of the model.