Schläfli symbol calculator
Hem / Historia, Vetenskap & Forskning / Schläfli symbol calculator
Do we need to mention the Star of David, a hexagram, or the shared symbolism associated with the pentagram from Hinduism to Neo-paganism?
You can also notice that the constructions of a star-shaped polygon create many triangles, the simplest bi-dimensional shape.
To make the game more entertaining, connect the outside points of the n-gram!
The formula for the perimeter of a pentagram shape is:
where is the length of the side of the "rays" of our star. if was in e.g. It’s familiar. This tool is built with learning in mind — for anyone who benefits from more explanation, structure, or time to connect the dots.
While most tools expect perfect input, Symbolab meets students in real life, scribbled pages, screenshots, and all, making help just a photo or screenshot away.
Here’s what sets this AI tool apart:
Step-by-Step Explanations: Many problems are broken down into clear, structured steps — helping students understand not just what to do, but why it works.
Covers a Wide Range of Subjects: From pre-algebra through calculus, from trigonometry to physics and statistics—Symbolab’s AI-powered tool is a useful companion at different learning stages.
Interactive Practice and Feedback: Offers a variety of practice problems, customizable quizzes, and real-time feedback designed to reinforce learning over time.
Built-in Learning Tools: Includes Notebooks, cheat sheets, group study options, and solution verification, quiet support for independent learners who just need a little structure.
Simple and Accessible: A clean design, an intuitive math keyboard, and support for both symbols and plain language help keep the focus on learning — not on figuring out how to use the tool.
Symbolab was built with one belief at its core: everyone deserves a way to understand math, not just survive it.
Its features were built with the student experience in mind: the stress of not knowing where to start, the frustration of getting stuck halfway, the quiet relief when something finally makes sense.
From the way it breaks down complex steps to how it gently explains why each one matters, Symbolab’s AI Math Calculator helps make math problems feel more approachable and manageable.
It is the first regular star polygon we can build by extending the sides of a polygon (try to do that with a square or a triangle, and you will understand), and also one of the most drawn shapes in the world. That’s what Symbolab’s AI Math Solver is built for.
Instead of just giving a final answer, Symbolab’s AI Math Solver breaks problems down step-by-step.
The flag of Jordan depicts a heptagram; the shape was also part of the old Georgian coat of arms. Only Azerbaijan contains an octagram!
Many countries have pentagrams in their flags: there is quite a constellation from the US to Somalia!
An old flag of Australia contained six-pointed stars, while the modern one has both a pentagram and some heptagrams!
A generalization of the formulas is hardly helpful since every new odd-numbered polygon is associated with an additional boundary: for the enneagram, we can identify the Schläfli symbol 9/4, for the hendecagram, we have the boundary 11/5, and so on.
Some facts about star shapes!
Star polygons are simple shapes, but somehow they keep appearing all around us.
Consider flags, for example.
If a limit needs the chain rule, it explains why. our star shape calculator will calculate all of the important elements of a star polygon in the blink of an eye!
Here you will learn everything about star-shaped polygons. Add, subtract, maybe handle a few functions if it’s advanced. 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 .
What is the side of a hexagram built from a hexagon with side 3?
The answer is .
It provides step-by-step explanations tailored to the type of problem at hand. Of course, you can build irregular star polygons, but they would be impossible to calculate, and we are here for this!
We can uniquely identify every star polygon using the Schläfli symbol.
The designers of the national colors couldn't make up their minds!
Our favorite starred flag is the flag of Nepal: the only non-rectangular flag in the world also has a beautiful 12-pointed star which really makes it stand out!
Star-shaped polygons appear widely through sacred geometry.
It’s slow, layered, sometimes stubborn, and it needs space to grow.
Why Choose Symbolab Over Other Math Calculators?
Plenty of calculators can compute an answer. Let's see the ones for the pentagram:
l=a⋅φb=φac=φb
φ is the golden ratio:
φ=21+5≃1.618
Only the pentagram among the star polygons has sides that relate to the ratio.
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.
What is the perimeter of a pentagram with side 5?
This perimeter is . Symbolab uses AI to analyze each problem to generate step-by-step, solutions aimed at supporting learning— not just computation.