spiralofhope's logo, used for this website.

It is a combination of the golden triangle and the Fibonacci spiral.

It is based in part on PersOnLine's Golden triangle and Fibonacci spiral (public domain).

I didn't pick it for any reason other than it was interesting.

# The area ∞

The area is the Fibonacci tiling.

In my case, it is ( 1, 1, 2, 3, 5, 8, 13, 21, 34 ):

TODO - Graph paper with the Fibonacci squares.

The ratio of the sides is 34:21

# The triangle ∞

θ is Theta |

The triangle is an isosceles triangle in which

a) The two longer sides have equal lengths.

b) The angles are in 2:2:1 proportions.

c) The length of the short side is the golden ratio:

\( \phi = \frac{1 + \sqrt{5}}{2} \cdot \) | φ = (1 + √5) ÷ 2 | |

φ is Phi |

*.. making this triangle a golden triangle.*

# The spiral ∞

source, public domain |

This was created by drawing arcs connecting the opposite corners of squares in the Fibonacci tiling, described by The area, above.

*.. making this spiral a Fibonacci spiral.*

# The editing ∞

The heavy lifting was done with great thanks to geminiguy from the Unity Linux team. I conceived of it and got some graphics, he assembled it and then made an SVG version of it.

I learned about Gravatar (Globally Recognized Avatar) when I poked around my WordPress profile. However, they required a square and not rectangular image, and didn't reduce the canvas size and pad it with a transparency. I was forced to edit the image to do these things myself.

I ended up learning a little about Inkscape, the de-facto standard for SVG editing. It took me a while to figure things out, and I almost went back to GIMP (The GNU Image Manipulation Program)

At any rate, I figured out how to change the shape of the canvas and export it the way I like. I even took the time to rotate it a bit, to change where the eye focuses.

I've also been forced to have a white background instead of a transparent background, because it won't look proper on many websites.

I figured out how to have an alternate logo for the dark scheme of this website, and so I did some fiddling around to make a dark logo. It was a lot more annoying than I thought it would be!

I had been using the logo for some time, and have been forced to make various sizes of it to meet the requirements of different websites.

I later created a Favicon using Favicon by RealFaviconGenerator.

# Unrelated ∞

Contact Me if you find any other websites.

implemented mathematics for the triangle