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:

geometricspirals

Now, below is the spiral within the rectangle.

geometricspirals2

Here it’s in the triangle.

geometricspirals1

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?

One Response to “Geometry of Logarithmic Spirals”

  • David Blatner says:

    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.


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