Adam Blatner
Words and Images from the Mind of Adam Blatner
Geometry of Logarithmic Spirals
Originally posted on September 17, 2016
One of my low-priority hobbies is a bit of geometry, as it helps me contemplate the intricacies of God’s creation. The phenomenon of “geometric spirals” grabbed my attention recently. Both rectangles and triangles can be constructed so that their vertices describe a shrinking (or expanding) spiral. Here’s the big picture:
Now, below is the spiral within the rectangle.
Here it’s in the triangle.
What is the meaning of all this? Does it have anything to do with the God-Cosmos being infinitely large and also ultra-tiny? Does it hint at the symmetry in out own anatomical structures (such as the cochlea, the spiral-shaped hearing organ)? What do you think it means?
How do you define the curves in these forms? Are they circles with a center at one of the vertices and a radius of… I’m unclear.