Phi

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For further information about the constant, see Golden ratio on Wikipedia.

For other math-related pages, see here.

Not to be confused with Pi.

For its clones, see Phi's Clones.

Phi
Full Name	ϕ φ
Alias(es)	Golden Ratio
Species	Mathematical constant, Greek letter
Alignment	Good
Status	Unknown
Related Character(s)	Its clones
Allies	Euler's identity Zeta Delta Aleph The Second Coming
Enemies	4D-Hyper Diamond
First Appearance	Animation vs. Math
Last Appearance	Animation vs. Geometry

Phi (ϕ or φ) is a minor character in Animation vs. Math and the deuteragonist of Animation vs. Geometry.

Appearance

Phi appears as a white Greek letter ϕ. It equals the golden ratio, defined as ${\frac {a}{b}}={\frac {a+b}{a}}$ or $\frac{1+\sqrt{5}}{2}$, which is approximately 1.61803399… and so on.

History

Animation vs. Math

Phi, along with Zeta, Delta, and Aleph, came at the end of the episode to comfort and possibly befriend Euler's identity and walk/bounce away.

Animation vs. Geometry

Phi appears again in Animation vs. Geometry, where it helps The Second Coming to learn geometry and defeat the 4D-Hyper Diamond.

Powers & Abilities

• Geometry Expertise:
• Shape Manipulation: Phi can generate 2D and 3D shapes using points, lines, and surfaces.
  • Point Manipulation: Phi can generate points.
  • Line Manipulation: Phi can generate a line, either for shape generation or for moving around. Using this, they created flat and three-dimensional shapes. For flat shapes, triangles, squares, and the Pythagorean theorem were expressed, and for three-dimensional shapes, tetrahedrons, octahedrons, and cubes were generated. The Pentagram was used for combat purposes.
• Shapeshifting: Phi can transform into a small dodecahedron by creating a 3D plane based on itself. After colliding with a 4D-Hyper Diamond, a small golden dodecahedron appears on it.
• Self-Replication: Phi can create a pentagram in a pentagon, which contains many golden ratios, thus multiplying itself.

Gallery

Phi becoming a square.

Phi appearing from points on the line.

Phi and The Second Coming handshaking.

Phi turning into Penrose tiling-shaped shield.

External Link

• Phi on the Heroes Wiki