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Now, throw a ball on the top piece of cloth and push down until it goes through the bottom cloth. He offers a way to think of this mathematical process visually: “Imagine that you have two pieces of flat cloth floating in space an inch apart. Our system does a geometric analysis of the intersection it traces all the lines to understand what it means.” Untangling cloth Sometimes a region of cloth needs to push in reverse. The system understands, though, that pushing apart is not always right. Usually you keep cloth apart with the springs between. “Then, it determines that this region has gone through that region. While not official, having an animal sidekick and at least one musical number are often counted as requirements, but Merida didn’t care much for many of these and other characteristics shared by previous Disney princesses.“The system literally finds and traces all the intersections, and finds regions of the cloth surface,” Baraff says.

The criteria needed to become a Disney Princess is the following: the character must be human (or have a humanoid appearance, in Ariel’s case), she must have the central role, she shouldn’t be the star of a sequel, she must be royal by birth, marriage, or do a heroic deed (like Mulan). Brave not only gave Pixar its first official Princess, but it’s also the first one not taken from other literary works, legends, or real-life figures, and it also broke some of the biggest Disney Princesses rules. In order to save her and bring her back to her human form, Merida had to look within herself and discover the real meaning of bravery.

Her actions and disobedience unleashed a dark force, and her mother fell victim to a beastly curse that turned her into a bear.

Related: How Old Each Disney Princess Is (Including Frozen's Anna & Elsa)īrave followed Merida on her quest to break the age-old customs about princesses, which in turn caused chaos in the kingdom.