Rigid Motion

 Today we have talked about the way of moving points in a plane and the four different rigid motions that we can use in it. These are: 

• Translation: everything is moved as a whole and in the same direction. Every translation has direction and distance.
• Rotation: is about rotating a figure around a fixed point (rotocenter). Everything is rotated altogether the same distance. All rotations have a rotocenter and an angle.
• Reflection: every reflection has a mirror line. This fixed mirror line in the plane lets us move points from one side of the line to the other. The exchanged point are at the same distance from the mirror as the original points.
• Glide reflection: is a combination of two of the previous movements. It consists on a mirror reflection followed by a translation parallel to the mirror. Every glide reflection has a mirror line and a translation distance. 

To relate this topic with cinema, we are going to focus on the reflection. This is something that has been used in different arts for a long time and it's something that directors try to include in their images to give their movies a unique aspect. We are talking, specially, about central reflection, that starts from a central point and it's difficult to reach. 

Wes Anderson's movies, for example, have a recurrent interest in a central axis where objects or characters are exactly in the middle of the image. This way, the character's weight increases considerably and the image leads us to focus on what the subject is feeling.

Stanley Kubrik creates a tense and scary atmosphere using this central axis, focusing attention and isolating the character from the context in which they can be found. 

This composition is another world inside this world of cinema, allowind the different director to create their own world basing it in simple mathematical aspects that can introduce us inside this strange worlds.