You can find images of nautilus shells and spirals all over the Internet that are labeled as golden ratios and golden spirals, but this golden spiral constructed from a golden rectangle is nothing at all like the spiral of the nautilus shell, as shown below. The golden spiral is then constructed by creating an arc that touches the points at which each of these golden rectangles are divided into a square and a smaller golden rectangle. This process is repeated to arrive at a center point, as shown below: The rectangle is then divided to create a square and a smaller golden rectangle. This can be constructed by starting with a golden rectangle with a height to width ratio of 1.618. This resulting Golden Spiral is often associated with the Nautilus spiral, but incorrectly because the two spirals are clearly very different.Ī Golden Spiral created from a Golden Rectangle expands in dimension by the Golden Ratio with every quarter, or 90 degree, turn of the spiral. The Golden Spiral constructed from a Golden Rectangle is NOT a Nautilus Spiral.Ī traditional Golden Spiral is formed by the nesting of Golden Rectangles with a Golden Rectangle. Let’s look at this objectively and solve this mystery and debate. Another university professor says no, but only measured height and width of the entire shell. Several university math professors say no, but they only compared the nautilus spiral to the spiral created from a golden rectangle. Some show examples of spirals, but incorrectly assume that every equi-angular spiral in nature is a golden spiral. There is a fair amount of confusion, misinformation and controversy though over whether the graceful spiral curve of the nautilus shell is based on this golden proportion. The Nautilus shell if often associated with the golden ratio. Nautilus shell spirals may have phi proportions, but not as you may have heard.
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |