Schläfli symbol calculator

Our star shape calculator can help you calculate all of the characteristic lengths of the four most common star-shaped polygons:

• Pentagram;
• Hexagram;
• Heptagram; and
• Octagram.

Select the desired number of sides at the top of the calculator and insert the value of one of the available variables there: we will calculate all the others!

The pentagram is nothing but a five-pointed star shape. Well, everything apart from occultism: we deal with geometry, not magic! Whether it’s solving an equation, simplifying an expression, or working through a calculus limit, Symbolab’s AI Math Solver is designed to help learners follow the logic and build confidence along the way.

Here’s how they compare:

Features of Symbolab’s AI Math Calculator

Symbolab’s AI Math Calculator isn’t just a tool for solving math.

Try to follow these tips:

• Identify the components of the shape: other stars or convex polygons.
• If there are separated elements, start from an intersection.
• Retrace an already drawn shape.

This perimeter is . That’s a quiet but powerful difference.

In fact, you can consider the hexagram itself as the result of the intersection of two equilateral triangles with side times larger than the side of the hexagram.

This interesting symmetry comes from the extreme regularity of hexagons. It’s designed to break things down clearly, to make complex parts feel more manageable— without rushing or skipping essential steps.

And when the path still feels tangled, there’s help without judgment:

1. Chat with Symbo: You can ask about any step — big or small.

   By definition, they are:

   • Non-convex;
   • Self-intersecting;
   • Equilateral; and
   • Equiangular polygons.

   Let's look at all of these features one by one!

• Non-convex means that you can draw a line between two points inside the star-shaped polygon that passes outside its perimeter.
• Self-intersecting means that you can build all the different star shapes starting from a regular polygon and prolonging its vertexes until the extensions cross each other.
• Equilateral signifies that all the outer sides of the star-shaped polygon have the same length (latus is the Latin for side).
• Equiangular means that all the angles lying in the same "region" are equal.

The last two attributes of the star polygons automatically qualify them as regular polygons.

It doesn’t notice when a step is skipped or suggests a better path forward.

That’s where a math solver can offer more.

Symbolab’s AI Math Solver is built not to just compute, but to explain. The flag of Jordan depicts a heptagram; the shape was also part of the old Georgian coat of arms. This AI-powered tool is designed to do more — by helping students understand the steps behind the solution, gives something more understanding.

That’s the key difference.

It provides step-by-step explanations tailored to the type of problem at hand. It looks like someone really put a lot of thought into such a simple geometric shape.

Since there are five rays, with two sides each, to calculate the perimeter of the pentagram, it suffices to count ten times the length of .

The answer is . It’s about building understanding, one step at a time.

Step-by-Step Solutions

This is where Symbolab’s AI Math Calculator stands out.

Learn more with the star shape calculator at Omni Calculator!