Holiday 2023-2024 Decorative Border Information
Basic Information
The process by which the tinsel was produced reduces to an application of a the random walk, where each strand of tinsel begins from a the center, and then is displaced a random distance up or down and right and left.
This process mimics the randomness in the arrangement of tinsel and the differences in distance from the center. This lends a quasi-three-dimensional feel to the resultant image, with the longer lines corresponding to a strand in a plane perpendicular to the viewer and the shorter ones to strands at some angle between the plane and directed at the viewer.
Each strand alternates between the Memphis colors---University Blue and University Gray. A sinusoidal function was then added to all the points to provide the wave.
Note that every time this code is run, it will generate a different border design, highlighting the stochastic nature of the generative process.
The spheres were produced using a 3-dimensional rendering package. The code (and additional details) used to produce the border is provided here:
This code can be run on a computer with the R Programing Language installed, or on a website such as rdrr.io/snippets (although I have not tested how the images are displayed).