http://edxpress.in/journalfiles/9cc28062017064957a86d.pdf
This PDF talks about the mathematics of dance. I only focused on the symmetry portion which actually had a lot of good information. It talked about how Choreographers use
symmetry as a stylistic feature in their dance creations. It also said that in dance all 4 of the symmetries are used. Reflectional, rotational, translational and
glide reactional symmetry.
This is another prezi on geometry and ballet it’s similar to the last prezi I used: https://prezi.com/72rlha79knaz/the-geometry-of-ballet/ but with different explanations. This prezi explains how geometry helps dancers as well as how rotation, translation, and reflection are all involved in ballet. This prezi also explains the meaning of the term transformation in geometry.
Although this prezi had a few more grammatical errors than the other one, it still had useful information. It had good explanations, and a lot of pictures to demonstrate what was being explained.
Although this is a Prezi it was still quite useful and had food information. This Prezi explains basic geometry, reflections, translations, rotation, and symmetry in ballet. When doing a pirouette a dancer is using rotation. The center of rotation is placed either on the ball of the foot or on the toes, depending on whether or not the dancer is wearing pointe shoes. If a dancer is slouching or sitting on one hip then it won’t be a proper reflection and they won’t be symmetrical.
This was useful because it had a lot of pictures and videos to go along with the information. It also had good examples and everything was explained very clearly. I didn’t have any other resource that talked about rotations and translations, so this slideshow was very useful.
Since it is getting a little harder to find sites on how ballet is related to math I decided to try a Prezi. I found this one https://prezi.com/72rlha79knaz/the-geometry-of-ballet/ and it was pretty useful so I decided to put it as one of my posts. This Prezi explains basic geometry like reflection translation rotation and symmetry. They gave lots of examples like while doing a pirouette your using rotation.
This was useful because it had examples along with pictures and videos. They explained things really well and it was really helpful. This can also help me understand why posture is so important in ballet because if you are slouching or sitting on one hip it won’t be a proper reflection or you won’t be symmetric.
http://www.mathscareers.org.uk/article/symmetry-geometry-dance/
On this website it says that dancers must understand the symmetry and geometry just as well as counting the music. Dancers use symmetry in a lot of steps, such as turns. During the turn they must whip their head around. This step is called spotting. It helps dancers turn without getting dizzy and falling and it helps with going in a straight line. This relates to symmetry because without the dancer would fall over because they can’t spin continually. If you’re spinning a ball for example there are many rotational symmetries. However the human body has none. If you don’t spot then you would probably fall. In the ballet Swan Lake the Black Swan must complete several pirouttes and fouettes. And it is very important that she spots. Every dancer uses symmetry and geometry in a performance. This helps the dances look appealing.
This helped me because if I want to focus more on symmetry and geometry for this project I will have this site. This sites provides lots of information. This also helps me understand the angles and shapes in ballet and how whipping your head in a spin is important to stay on balance. I’ve inserted a clip of the Black Swan turning and spotting.