Thoughts on Mathematics

My continuing studies in mathematics have been invaluable to me
as a dancer, choreographer, and instructor as they lend insight and
hone intuition on how to partition space, time, music, and movement.
Additionally, mathematical inquiry has lead to a more rigorous understanding of how movement is experienced, and how that experience is an imagination of what is perceived both consciously
and unconsciously. Lastly, and most important, mathematics is a
means to behold the endless potential and radiant kinetic energy
about and within me; it reveals the dance of power and light.


Movement with a hint of Physics

Just as a dancer doesn't feel speed as she hurdles through space on
Earth, so will she not feel the speed of her movement when dancing.
What she will feel are changes in speed and changes in direction as
the language of the body is acceleration. Why, then, is dance too often
expressed in terms of speed, velocity, and position? It is because our
conscious senses (sight especially) are designed to pick up precisely
the information our bodies otherwise cannot experience velocity, speed, and position. For the calculus inclined, the dancer consciously works
from the first derivative and unconsciously from the second. If a dancer can allow these two systems to amplify one another, the result is
beautiful and athletically sound.


The Perfect Number

Perceptions of perfection are a curious phenomenon. Perfection, as
it is perceived, inspires and inhibits, happens and remains elusive.
It is chased for sake of sundry emotion. It is defined and redefined and undefined. It sometimes appears in art and sometimes in artists. It appears in math. There are perfect numbers said to be so simply
because the sum of their proper divisors add to them.

The number 6 is perfect 1+2+3=6. It is interesting.


Geometry

Deep within a person lives a geometry upon which forces of gravity, muscle, intent and desire act. Discerning the path of the bones of a
body is a simple means of determining muscle engagement as it is
and deciding muscle engagement as it should be.

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