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Action scenes

 Geometry is, surprisingly, also used to choreograph the action scenes used in our favourite films. These  scenes often involve complex movements and fight choreography. Geometry helps in precisely blocking the movements of characters, ensuring smooth coordination and enhancing the visual spectacle Filmmakers use angles, distances, and trajectories to establish the spatial relationships between characters, objects, and the environment. This allows the audience to follow the action and understand the positions and movements of the characters, making the scene more coherent and engaging. Choreographed movements, repetitive actions, or symmetrical formations add aesthetic appeal and enhance the impact of the action. These geometric patterns can also contribute to the rhythm and pacing of the scene. These geometry-based simulations ensure that the action sequences adhere to the laws of physics, even in fantastical or sci-fi settings. Finally, geometric positioning of characters an...

Emotions and Geometry

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 Emotions play an important part when geometry is brought into a film. It is used to amplify emotions and create a visual language that can be closer to the spectators.  Symmetrical compositions and geometrically balanced frames can create a sense of harmony, stability, order, calmness and balance. On the other hand, we can find filmmakers that may employ geometric dissonance and symmetry to evoke feelings of chaos, unease, conflict or inestability. Then we have t he use of geometrically enclosed spaces, such as narrow hallways, small rooms, or tight mazes, that evoke feelings of claustrophobia and confinement, uneasem vulnerability and entrapment. On the contrary, open spaces give an impression of freedom. Geometric shapes and patterns can also be used to visually represent character development or emotional transformation; a character initially portrayed in rigid and angular compositions may transition to more organic and flowing geometries as they undergo personal growth an...

Architecture in cinema

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 Architecture itself is created with an incredible influence from geometry, it can't be formed without the use of it, and that's another way of relating geometry to architecture and the sets that are used while filming.  Filmmakers sometimes use geometric shapes to convey symbolic meanings or themes. Triangles, circles, squares, and other geometric forms can represent harmony, balance, order, or the contrast between different forces. An example for this can be seen in "The Da Vinci Code" (2006), where geometric patterns and symbols play a central role in decoding hidden messages and unraveling the mystery. Certain movies also explore architectural spaces that challenge perception and play with geometric illusions. These films often employ unique designs, such as Escher-like staircases or mind-bending geometries, to create a sense of disorientation or surrealism. We can also find many films set in historical periods which structures often display specific geometric ele...

Turns

 Focusing on movements in the plane, today I welcome you to the topic of turns. As we all probably know, turns are transformations of a figure, focusing in one center point and moving its different points to form another one. A very important point is that the figure itself doesn't change, it's only the directions of the points that change. We can also take into account central simmetry, since it is just a turn with an amplitude of 180º. This central simmetry acts the same as a normal turn, the figures don't change, they just move in the space.  In cinema, c amera turns or pans refer to the horizontal movement of the camera on its fixed axis. It involves rotating the camera from one side to another while keeping the camera's position unchanged. Camera turns or pans can be executed in different ways, speeds, and durations to achieve specific effects and convey meaning. The speed, smoothness, and precision of the camera movement can greatly influence the impact and effec...

Geometric animation

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 The term "Geometric animation"  in cinema refers to the use of geometric shapes, patterns, and structures in animated films. It involves the manipulation and movement of these geometric elements to create visually captivating and imaginative sequences This technique is widely used in motion graphics, such as title sequences or information graphics within films. It involves animating geometric shapes, typography, and symbols to convey information or enhance the visual appeal of the film. The character's bodie, facial features, or clothing, also have geometric elements incorporated, adding an extra layer of visual interest and uniqueness. Finally, in films where architecture plays a significant role, animating geometric structures and buildings can provide a dynamic representation of the constructed environment. This technique is often used in science-fiction or fantasy films to showcase futuristic or otherworldly architectural designs.

Triangles

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Hello everyone!! Today we are going to be talking about triangles. As we already know, triangles are three side polygons. They can be classified as equilateral (3 same sides), isosceles (only 2 sides are the same) and scalene (3 completely different sides). On the other hand, triangles can also be classified because of their angles as rectangle (some angle is straight), acute-angled (3 acute angles) and obtuse-angled (an angle is obtuse). On the other hand, triangles have 4 main elements: bisector, perpendicular bisector, height and median. The first one of these mentioned elements it's a ray that divides an angle in two same sides. A perpendicular bisector is the straight line that goes through the middle point of the side. The height is the perpendicular straight that goes from a vertex to the opposed side, Triangles are used a lot in cinema as a geometric shapes, but the most present and famous triangles are love and friendship triangles. They create suspense and keep audiences ...

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 use...