Sequences and Series Final Project
When of the most interesting things that I’ve gained from this project is learning of the basic functions that are implied in three D modeling. When we first part of the projects we were given a demonstration in Sur Penske’s triangle, an explanation of the mathematics that were used to create the triangle itself. As an active film lover and director, I immediately took an interest in 3D modeling as far as settings for abstract projects could go. I’m an avid fan of science fiction movies and what I discovered with three the modeling was something that I can implement and settings and multiple projects and it was something that I definitely want to pursue later on in my career. Many of the concepts that were later developed when we’re establishing our own personal project even push the project further in the sense that it allowed us to use our imagination as well as mathematics to create images that were both visually stunning and mathematically accurate. I was particularly impressed with Ian in Nathan’s project which was a combination of squares that would continuously decrease in area but double in perimeter.
I think that the most challenging part of this project was creating the exact mathematic equations that were necessary for the actual 3D model. For the 2D model alone, recursive and exponential definitions were required for every concept involved in the model including area, perimeter, length, number of vertices and overall size. Writing the particular equations for each of these characteristics was very challenging in the sense that every piece of data had to be perfect for every iteration. My partner and I had gone to the day of multiple times before we were able to rest on finalized equations for each aspect. Once the mathematical data had been processed, we were then able to proceed with creating the actual 3D model and two dimensional concept models.
Data
