drawing knots
I thought maybe I could draw these #
knots I learn, and even though the fisherman's knot proved to be difficult to draw at first, I found maybe I could try and draw an overhand, and it proved to be satisfying! In fact it is very cool, in my experience, to be able to draw an overhand knot! 🌅
sitting at the piano, and sometimes I am still anxious #
at the piano, so I thought it would be a good idea to use stretch bands, as well as a medicine ball, and it proved to be awesome exercise. Yesterday I heard about the use of stretch bands:
The workout that builds muscle, boosts your brain, and slows down aging with Dr. Andy Galpin
does drawing, and making knots #
train a sense of symmetry, and a sense of algebra?
- I'd guess so, as perhaps the same brain functions are responsible for seeing the common patterns
I struggle to draw / make knots, but its also fun
drawing with the left hand good for #
brain improvment also
i can see there is symmetry to knots #
lots of symmetry knots are also seem to be sort of arrows and graphs,
I don't know if it is significant but #
nevertheless I noticed and I find it interesting, : that drawing a crossing of two strings, or two lines, is drawn using 3 line segments, while in space these are two things so in ℝ² these are 3 things maybe, while in ℝ³ they are 2. perhaps with algebra we can highlight these 3 things are really two even in the plane
🧱 basic building blocks #
of music, I still find it difficult to see what are the basic building blocks of music
- perhaps intervals are
sitting at the piano one day #
I wondered why they say music is mathematics, or rather that music has mathematical patterns, or something like that I was interested in the algebraic, I heard Eugenia Cheng mention in a podcast that a algebraic pattern like commutativity is interesting in music, collaborating with computer agent while sitting at the piano I tried to find what mathematical patterns are there, and as I was pressing the keys, I experienced as if sort of I was sitting inside mathematics, like as I was pressing the keys I was making mathematics. If I remember well it was the idea of, well actually I might have been inspired by the Peano axioms, because I was just learning and understading something about making the natural numbers from 0, and the successor function: so I thought if all you need is axioms to construct mathmeatical worlds, then what are the axioms at the piano to construct mathematical worlds, and I realised that "wow, I can construct mathematical world at the piano!", which simultaneously felt like making mathematics in the world, or something like that. Like sitting at a mathematical instrument and it was like sitting inside mathematics, the world was mathematics, or something like that, you know?
a book on the axioms of Piano #
It seemed like a cool idea to me to maybe write a book on the foundational patterns of Piano. Then I thought I must keep this idea to myself, because this idea is great. But then I thought (which is the sort of insight I often experience lately and I attribute this to learning mathematics) if I share an idea, and it is realised, well, then I did not have to expend much effort, so this in fact might be a very effective way to do things. Why, I think of a beautiful book laying down the axioms of Piano, connecting mathematics with music through piano play and categories - and it just manifests, all I had to do was to share the idea! If all else fails, I can still write the book.
these are some of the drawings I made today #
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