The Most Perfect Geometrical Shape, Ranked

Choose the geometrical shape you think is the most perfect!

Author: Gregor Krambs
Updated on May 21, 2024 06:28
Debates about the perfection of geometric shapes have intrigued mathematicians and philosophers alike for centuries. Each shape offers unique attributes and applications, making the task of ranking them both challenging and enlightening. This space allows enthusiasts and experts alike to contribute their perspectives and preferences through voting. By participating in this ranking, users engage with a community of like-minded individuals passionate about geometry. The dynamic results offer a continuously updated snapshot of collective opinions, illuminating shifts in preferences and emerging trends. This process not only enriches our understanding but also celebrates the diversity of thought within the field of geometry.

What Is the Most Perfect Geometrical Shape?

  1. 1
    A perfect geometric shape with infinite symmetry, the circle has no corners or edges and is often considered the most perfect shape.
    A circle is a closed curve with all points equidistant from its center. It is considered the most perfect geometrical shape due to its symmetrical properties and the infinite number of tangents it possesses. The creator of the concept of a circle is believed to be ancient Greek mathematician Euclid.
    • Equidistance: All points on the circle are equidistant from its center
    • Symmetry: The circle possesses rotational symmetry
    • Perimeter: The length of the perimeter is calculated using 2πr, where r is the radius
    • Area: The area is calculated using πr^2, where r is the radius
    • Tangents: A circle has an infinite number of tangents
  2. 2
    A three-dimensional version of the circle, the sphere has a perfectly symmetrical shape and is used to represent concepts such as unity and completeness.
    A sphere is a three-dimensional geometric shape that is perfectly round and symmetrical in every direction. It is defined as the set of all points in three-dimensional space equidistant from a common center point. The surface of a sphere is a continuous curve with no edges or corners, and it encloses a finite volume of space.
    • Shape: Round and symmetrical
    • Dimensions: Three-dimensional
    • Surface: Continuous curve
    • Edges: None
    • Corners: None
  3. 3
    A basic shape with three sides and three angles, the triangle is often used as a foundation for more complex geometric shapes and is considered perfect because of its simplicity.
    The Triangle face shape is defined by a narrow forehead and a wider jawline, creating a triangular appearance. It is also known as the inverted triangle or heart-shaped face.
    • Forehead: Narrow
    • Cheeks: Prominent
    • Jawline: Wide
    • Chin: Pointed
    • Hairline: Wider at the temples
  4. 4
    A four-sided shape with equal length sides and 90-degree angles, the square is often used to represent stability and balance.
    Square is a financial services and digital payment company. It provides a variety of tools and services that enable businesses to accept card payments and manage their transactions. Square was founded in 2009 and is based in San Francisco, California.
    • Founded: 2009
    • Headquarters: San Francisco, California
    • Industry: Financial Services, Digital Payments
    • Products: Square Register, Square Terminal, Square Point of Sale, Square Invoices, Square eCommerce, Square Appointments, and more
    • Services: Card payment processing, payment hardware, mobile credit card readers, business loans, payroll services, and analytics
  5. 5
    A three-dimensional shape with six square faces, the cube has perfect symmetry and is often used to represent solidity and reliability.
    A cube is a three-dimensional geometric shape characterized by six equal square faces, twelve straight edges, and eight vertices. It is considered to be the most perfect geometrical shape due to its symmetry and uniformity.
    • Faces: 6 square faces
    • Edges: 12 straight edges
    • Vertices: 8 vertices
    • Symmetry: All faces, edges, and vertices are symmetrical
    • Uniformity: All faces, edges, and angles are equal in size
  6. 6
    A five-sided shape with five angles, the pentagon is often used in architecture and design for its unique shape and symmetry.
    A pentagon is a five-sided geometric shape that consists of five straight sides and five angles. Each angle measures 108 degrees, and all the sides are of equal length. The pentagon is a regular polygon, meaning that all its sides and angles are congruent.
    • Sum of exterior angles: 360 degrees
    • Number of sides: 5
    • Number of angles: 5
    • Angle measure: 108 degrees
    • Side length: Equal for all sides
  7. 7
    A six-sided shape with six angles, the hexagon is often used in nature for its efficiency and symmetry, such as in the shape of honeycomb cells.
    The Hexagon is a tile pattern composed of hexagonal tiles arranged in a regular pattern.
    • Tile shape: Hexagonal
    • Regular pattern: Yes
    • Symmetry: Multiple axes of symmetry
    • Tile connectivity: Adjacent tiles share a side
    • Vertex angles: 120 degrees
  8. 8
    An eight-sided shape with eight angles, the octagon is often used in architecture for its unique shape and symmetry.
    The octagon is a polygon with eight sides and eight angles. It is a popular geometric shape known for its symmetrical and regular nature.
    • Number of sides: 8
    • Number of angles: 8
    • Symmetry: All sides and angles are equal
    • Interior angles: 135 degrees each
    • Exterior angles: 45 degrees each
  9. 9
    A three-dimensional shape with four triangular faces, the tetrahedron is often used in chemistry and crystallography for its unique shape and symmetry.
    A tetrahedron is a three-dimensional polyhedron with four triangular faces, six edges, and four vertices. It is the simplest of all the convex polyhedra. Each triangular face is connected to three other faces, and every vertex is connected to three edges.
    • Faces per Vertex: 3
    • Edges per Face: 3
    • Number of Faces: 4
    • Number of Edges: 6
    • Number of Vertices: 4
  10. 10
    A three-dimensional shape with 12 pentagonal faces, the dodecahedron has perfect symmetry and is often used in geometry and design for its unique shape.
    The Dodecahedron is a three-dimensional solid with twelve flat pentagonal faces, twenty vertices, and thirty edges. Each face is a regular pentagon, meaning all sides and angles are equal. The Dodecahedron is a highly symmetric shape, and it is one of the five Platonic solids, which are convex polyhedra with identical faces that meet at the same angles.
    • Number of Faces: 12
    • Number of Vertices: 20
    • Number of Edges: 30
    • Face Type: Pentagon
    • Symmetry: Highly Symmetric

Missing your favorite geometrical shape?


Ranking factors for perfect geometrical shape

  1. Symmetry
    The shape should have a high degree of symmetry, meaning it should have equal angles and sides that can be rotated, flipped, or mirrored without changing its overall appearance.
  2. Regularity
    A perfect shape should be a regular shape, meaning all its sides and angles are equal. This is critical for uniformity and balance.
  3. Tiling or Tessellation
    The ability to cover a flat surface without gaps or overlaps using only the given shape is an important factor. Tessellation may include translation, rotation, or reflection of the shape.
  4. Structural Stability
    The strength and stability of the shape is another important factor. A shape with uniform stress distribution and increased strength is more desirable as it can maintain its form under various forces.
  5. Aesthetic appeal and simplicity
    A perfect shape should have an inherent beauty and simplicity that is visually appealing.
  6. Three-Dimensional or Two-Dimensional
    Whether the shape is a 3D solid or a 2D plane figure can impact its perfection. A 3D shape may be more versatile and complex than a 2D shape, but also more difficult to create and analyze.
  7. Universality
    A perfect shape should be found or applicable in various areas of mathematics, physics, and nature, demonstrating its universality and importance.

About this ranking

This is a community-based ranking of the most perfect geometrical shape. We do our best to provide fair voting, but it is not intended to be exhaustive. So if you notice something or shape is missing, feel free to help improve the ranking!


  • 174 votes
  • 10 ranked items

Movers & Shakers

Voting Rules

A participant may cast an up or down vote for each shape once every 24 hours. The rank of each shape is then calculated from the weighted sum of all up and down votes.


More information on most perfect geometrical shape

Geometrical shapes have fascinated humans for centuries, dating back to ancient civilizations such as the Greeks and Egyptians. These shapes are not only aesthetically pleasing but also have significant mathematical properties that make them useful in various fields such as architecture, engineering, and art. The most perfect geometrical shape has been a subject of debate for a long time. While many believe that the circle is the most perfect due to its symmetry and infinite number of sides, others argue that the triangle or hexagon is more perfect due to their unique properties. Regardless of which shape is considered the most perfect, it is undeniable that geometrical shapes have played a crucial role in human development and continue to be an essential part of our daily lives. From the design of buildings to the creation of art, geometrical shapes are a fundamental aspect of our world.

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