Amorphous Ruminations

"Mathematics is as much an aspect of culture as it is a collection of algorithms."  ~ Carl Boyer I suffer from insomnia on a regular basis.  I usually go two or three nights without sleep.  Then, on the third or fourth night, I get some, but not a lot.  On some nights that I have slept, I have dreamed of fractals.  I've already mentioned one such dream elsewhere on this blog.  Earlier this week, I dreamed of a beautiful fractal that had lots of mandelbrots.  Each mandelbrot was labeled with a different name of fractal software.  It was a very beautiful and colorful fractal image. (Fractal file: UltraFractal-210403-22)

  "I believe that scientific knowledge has fractal properties, that no matter how much we learn, whatever is left, however small it may seem, is just as infinitely complex as the whole was to start with.  That, I think, is the secret of the Universe." ~ Isaac Asimov, I Asimov, 1995 I had an interesting dream last night.  In reality, I haven't used the Apophysis software to make fractals since 2016 or 2017.  In my dream, I was using it again. That's it.  That's the dream.  It was short and sweet. In other news, we are now living in the condo we bought.  We moved in on January 24th.  It was delayed a little bit from the first estimated date because we didn't close on the house until December 15th.  Then, it took a while for the painters and flooring contractors to finish the place. It's a much bigger house than the apartment we were living in.  Our cats Sheba and Loki love to run around like wild cats, chasing each other around because there is so much room

  “They always say time changes things, but you actually have to change them yourself.” ― Andy Warhol, The Philosophy of Andy Warhol Speaking of change, a big one is coming my way.  My husband and I are buying a condo.  I've lived in apartments since 2010 when I divorced my first husband.  I hate to think of all the money I've lost on rent, money that could have been used to build equity in a house.  At the same time, I have appreciated living in an apartment because the grass is cut, the snow is shoveled, and the maintenance is taken care of.  We've been wanting a condo, but there is a shortage of them in the area we live in.  Finally, one became available, and we fell in love with it.  It will be nice because, like an apartment, the grass is cut, the snow is shoveled, and outdoor maintenance is taken care of by the homeowners' association.  This is important to me because I have MS, and need someone else to take care of the yardwork and outside home maintenance.  My h

"Wealth consists not in having great possessions, but in having few wants."  ~Epictetus

“The older a wizard grows, the more silent he becomes, like a woody vine growing over time to choke a garden path, deep and full of moss and snakes, running everywhere, impenetrable.” ~ F.T. McKinstry, Crowharrow Two nights ago I had a dream that was very realistic.  I did what seemed like astral projection.  I floated through the walls and up through the ceiling.  I went up into the sky and through the atmosphere.  I was floating in space and I saw shooting stars and constellations.  Then, a magic walking stick appeared in my hand and I knew that I was a wizard.  I discovered that I could use the wand to steer my way through the stars.  This dream was very exhilarating and in the dream, I was the happiest I have been in years.  

“If you remember me, then I don’t care if everyone else forgets.” ~Haruki Murakami