Struggling
I struggle with description tasks #
I read, and reread this description, and I struggle with starting/comprehending what it asks! A good exercise that comes to mind, is to focus the eyes to a point for about 30s-1min. Also, to think of all the good things that achieving the goal I am working on will result in. (Or, if the I am not motivated, then to think about how miserable I will feel if I don't work on the goal). Also, to practice growth mindset, and to know, that "I can learn anything", and if reading this task gives me struggle, then this is the task to persist at solving.
Learning mathematics seems like a simple endeavor, I guess it is the kind of Q2 activity Stephen Covey writes about. Not urgent, but deeply important. The playfulness, uselessness, and mystery in mathematics seems therapeutic, because it seems to free me from the invented/superficial problems that I believed important. I struggle with expressing this, but it is a recurring thought that I would like to write express, so I try to. For example, I used to see mathematics in the formal education I experienced, as something that we learn to become very serious agents of society. Yet, now, that I am revisiting the same content, I see it as an infinite playground.
Solving problems from the Harold Jacobs book is like doing mini projects.
6C4 == 6C2?
I become so excited doing these problems, I must be careful with my dopamine reserve! Though I guess this activity is dopamine well spent.
The task is to find the number of ways to raise dots on a 6 dot Braille sign.
I see that 6C2 and 6C4 result in the same value, so, obviously, I wonder if they mean the same thing. After asking around on Discord, a kind helper showed the cool fact that we can arrange two zeros in 001111 the same number of ways we can arrange two 1-s in 001111. We encounter our old friends symmetry, and surprise! Yet, 6C2 seems to refer to the two elements, the two 0s, explicitly, and 6C4 to the four elements.
I guess an analogous problem is 2+1=3 3+0=3 4-1=3 are different expressions, resulting in the same value.
I found this magical question: are these two expressions topologically equivalent?
Are 6C4 and 6C2 the same, and are they topologically equivalent?
Impromptu 66 Op #
Starting with bar 5, cycling the left hand pattern. I find it difficult to remember the fingerings -> I CELEBRATE 🎉 having found something I struggle with, so that my nervous system can grow!
532124 542123
Symmetry! Topology! 🎹
Wow, this Tai Chi walk style piano playing is very nice. It is a bit like climbing, holding on to the keys, balancing, supporting the wiehg of the hand and arm on the fingers, allowing the hands become very active.