In the article "How Cinematographers Use Geometric Shapes to Tell Stories with Visuals" and it's accompanying video the importance of geometry in animation is explained. I dislike geometry to a huge extent, but seeing it in this light interests me. Not many people realize just how important shapes can be.
For example, triangles can be used for villainous characters. Maleficent is all over sharp and built on triangles or the sharpness of "kiki". Triangles are an anger shape and are used for teeth and facial shapes and the likes. It is all because a sharp edge can cause a feeling of fear or suspicion or something. Although in animation when you see a triangle being a normal triangle for a mountain range it causes no emotion but "Oh cool a mountain range" and when the triangle is inverted it causes unease. Inverted triangles are often used for caves and the likes, to make a more fearful setting.
Squares can be used to represent stability. Like Carl in Up. But they can also be used to represent isolation or the idea of being caged. Carl's square shape also radiates isolation and a desire to be left alone. Squares are often used in The Incredibles to cage Bob in his office and car and the likes.
Circles, of course, are used as soft and inviting shapes. Like Mickey Mouse and Baloo and Ponyo and pretty much every innocent and exciting character in an animated movie. Circles' rounded edges don't instill fear or worry, but more a sense of youth and the natural state of the world. Circles relate most to real world objects, which make the movie viewers more comfortable. The round shapes of good guys and kids and the likes always subconsciously please viewers because they represent happiness and innocence.
This article was targeted towards both animated films and real life films, but the idea of geometry in films is more prominent in animation. This is because you can just draw it in, if you want a character to be a circle all you have to do is sketch out a vaguely person-shaped circled and then work off of that. In real films, it is harder because you can't just shape human flesh to your pleasure. In a way, that makes animation the easier filed to analyze geometry in. And with this concept in mind, you can also make more appealing characters as you go along in animation.
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