The Top 10 Shapes

Hey everyone, Trent here. Today let’s learn about the ten best shapes in the history of the universe.  There will be polygons and polyhedrons, and I may just throw you a curve ball or two.  Be sure to leave a comment about what your favorite shape is!

10. Hexagon

A regular hexagon has 6 equal sides and 6 equal angles.

The regular hexagon is cool because it has the most sides out of all the polygons that can be tiled on a flat plane without overlapping or leaving spaces. This is illustrated in nature by the bee’s honeycomb.

9. Dodecahedron

A regular dodecahedron has 12 pentagonal faces.

The pentagular faces of regular dodecahedrons have more sides than the faces of any other regular polyhedron (which can have 3, 4, or 5 sides, but not any more).

8. Square

The square is a regular quadrilateral, meaning it has four equal sides and four equal angles.

The square is simply a classic shape.

7. Tesseract

The tesseract is the 4-dimensional analog of the cube.

Did you know there were 4-dimensional shapes?  The tesseract is also known as a regular octachoron, or a hypercube.

6. Mobius Strip

A Mobius strip is a surface with only one side and only one boundary component.

How mind-blowing is it that this shape only has one side and edge?  When looking at any part of it, it certainly appears to have two.

5. Triangle

The triangle is a polygon with three sides. This is an equilateral triangle.

Well known for its structural integrity, the triangle ranks high for its beautiful simplicity. It is the polygon with fewest sides.

4. Cube

The cube is a regular polyhedron with 6 square faces.

The cube ranks high for being representative of the number of the universe, 27.

3. Spiral 

The spiral is a curve emanating from a central point, getting progressively farther away as it revolves around the point.

The spiral can be seen over and over again in nature…in fingerprints, seashells, and even galaxies.

2. Circle

The circle is all the points in a plane equidistant from a given point, the center.

Like the triangle, the circle scores high for its simplicity. All it requires is a given center and  radius. However, within this simple symbol lies the amazingly complex number Pi.

1. Mandelbrot

The Mandelbrot set is a fractal.

While the circle is a simple shape that can generate a complex number, the Mandelbrot set is perhaps the opposite, a complex shape generated by a simple formula zn+1 = zn2 + c.  And yes, fractals count as shapes.

Thanks for reading!  Stay tuned for more!

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