What is a Partially Ordered Set?

First, let’s introduce the concept of a partially ordered set. In mathematics, this is a set, also known as a directed graph, where if any two points have a relationship, there is a definite direction to that relationship, and that direction cannot be reversed. For example, if 15 < 30 and 1 < 15, then it’s impossible for 30 < 1 to exist.

This is called a partial order (only one direction). As shown in the image below, unlike some graphs that can have reversed or bidirectional connections, or even form cycles, none of that occurs within a partially ordered set.

What is Partially Ordered Magic?

In a game, you can’t learn advanced magic without first learning the prerequisite spells. Therefore, “partially ordered magic” represents a skill tree.

Evolution of the ICON

• Magic + Partial Order + Four Elements (Earth, Water, Fire, Wind)
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• The central part uses a hexagon as a magic gem
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• Attempt to use only the hexagonal magic gem
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• Using a hollow rhombus as a magic gem
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• Changing the proportions
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• Hexagonal magic gem, hollow circle
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• Adding back the original arrow
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• Simplification to a hollow rhombus
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• Discarding the body of the arrow
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• Randomly adding color
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• Placing the four elements (Earth, Water, Fire, Wind) in the gem position
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• Complete! Of course, we need to draw a skill tree diagram.
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Original Image

Due to the concept of four elements, the original full-size image is: