Name Of Shape With Six Sides

What do you call a six-sided shape?

Most people—even those who've brushed up on geometry—reach for "hexagon" without a second thought. But here's the thing: that's not the whole story. There's more than one shape with six sides, and whether you're sketching blueprints, solving math problems, or just puzzling over a dice in your hand, the distinction matters more than you'd expect.

So let's dig into what a six-sided shape actually is, why it's such a big deal in geometry, and what most people miss when they think they've got it figured out.

What Is a Six-Sided Shape Called?

The most common name for a six-sided shape is hexagon. Simple enough. But pause for a moment and ask: what kind of hexagon?

A regular hexagon has six equal sides and six equal angles, each measuring 120 degrees. Plus, it's that familiar honeycomb pattern you've seen a thousand times—nature's efficient packing solution. But not all six-sided shapes are created equal.

An irregular hexagon still has six sides, of course, but the lengths and angles vary. These come in all shapes and sizes, from the slightly wonky stop sign you might see on a back road to the abstract polygons in modern art.

Then there's the concave hexagon—still six sides, but at least one interior angle is greater than 180 degrees, creating a "dent" or indentation. Picture a house shape with a bay window jutting out, then imagine that window dipping inward instead. That's a concave hexagon.

And here's where it gets trickier: not every six-sided polygon counts as a proper hexagon in the mathematical sense. If the sides cross over each other or if the shape isn't properly closed, you're dealing with something else entirely—maybe a hexagram (a six-pointed star) or a complex polygon that bends the rules.

The Regular Hexagon: Nature's Perfect Packager

The regular hexagon stands apart for a reason. On top of that, it's the only polygon with more than four sides where the sum of interior angles can be evenly divided by the number of sides. Each angle hits exactly 120 degrees, creating a shape that tessellates perfectly without gaps.

This isn't just mathematical elegance—it's practical genius. On top of that, honeybees didn't randomly decide to build hexagonal cells; they discovered that this shape maximizes storage while minimizing wax usage. Sixteen thousand years of bee engineering beats most human designs.

In architecture, the hexagon appears from ancient basalt columns to modern geodesic domes. When architects want strength with minimal material, they're often reaching for hexagonal principles, whether in concrete panels or structural steel frameworks.

Why Six Sides Matters

Six-sided shapes aren't just mathematical curiosities—they're solutions to real-world problems.

Think about why computer networks often use hexagonal grids instead of square ones. Each node connects to six neighbors, providing redundancy and multiple pathways for data. Lose one connection, and information reroutes through the others. Try doing that with a square grid where each point only connects to four neighbors.

In chemistry, benzene rings adopt hexagonal structures because it's the most stable arrangement for carbon atoms. The six-membered ring creates resonance that lowers energy and increases durability. Organic chemists have literally built careers around understanding how these hexagonal arrangements determine molecular behavior.

Game designers love hexagons too. Now, board games like Settlers of Catan use hexagonal tiles because they create more balanced movement and resource distribution than squares. On a square grid, diagonal movement cheats players; hexagons treat all directions equally.

When Geometry Meets Efficiency

The efficiency of hexagonal packing goes beyond nature. Practically speaking, in urban planning, hexagonal zoning can reduce infrastructure costs while maintaining accessibility. In telecommunications, hexagonal cell towers provide better coverage with fewer gaps than rectangular grids.

Manufacturers use hexagonal bolt heads not because they're traditional, but because they provide better grip with standard tools. A six-sided head gives you six points to work with instead of four, distributing torque more evenly and reducing the chance of rounding off.

Even in art and design, hexagons offer visual stability that triangles lack and complexity that circles don't provide. They're geometric Goldilocks—balanced between simplicity and sophistication.

Common Mistakes People Make About Six-Sided Shapes

Most folks think they know hexagons, but they're making assumptions that trip them up.

The biggest mistake is assuming all six-sided shapes are the same. On top of that, i've seen students draw a perfect regular hexagon when the problem clearly stated "irregular hexagon. " They focus so hard on getting six sides that they forget the sides need to be different lengths or the angles need to be unequal.

Another common error involves counting sides on complex figures. Draw a star with six points, and you might think you have a six-sided polygon. But that's actually a hexagram—a compound of two triangles. The sides overlap, creating a fundamentally different shape.

People also confuse hexagons with other six-sided figures in everyday life. Because of that, a brick isn't a hexagon, no matter how you slice it. A nut with six sides is a hexagon, but a washer with a hexagonal hole might not be if the hole's diameter doesn't match the outer dimensions precisely.

The Tessellation Trap

Here's something that catches even math teachers sometimes: assuming that because hexagons tessellate, all hexagons tessellate. Think about it: only regular hexagons tile a plane without gaps or overlaps. Irregular hexagons might fit together in some patterns, but they're not guaranteed to work.

I remember a student once trying to create a hexagonal mosaic with irregular pieces and wondering why the gaps kept appearing. The teacher had to explain that tessellation isn't a property of "hexagons" in general—it's a property of specific types of hexagons.

Similarly, people assume that because honeycombs are hexagonal, any structure with six sides is automatically optimal. But bee cells are formed through a specific biological process that creates those perfect 120-degree angles. Hand-cut six-sided blocks won't necessarily fit together the same way.

For more on this topic, read our article on the angle of incidence is that acute angle formed by or check out the first law of thermodynamics tells us.

Practical Tips for Working With Six-Sided Shapes

Whether you're doing homework, designing something, or just curious about geometry, here are some concrete approaches that actually work.

First, when identifying a hexagon, count carefully and trace each side. On top of that, don't get distracted by the angles or lengths—focus on getting exactly six straight sides that form a closed shape. If you're drawing one, start with a simple circle and divide it into six equal parts, then connect the dots.

For calculating properties, remember that the sum of interior angles for any hexagon is always 720 degrees. That's six times 180 minus 360. From there, you can find individual angles if you know the shape is regular, or solve for missing angles in irregular hexagons.

Working With Coordinates

If you're plotting hexagons on a coordinate plane, place one vertex at the origin and work counterclockwise. Because of that, for a regular hexagon centered at the origin with side length s, the vertices fall at (s, 0), (s/2, s√3/2), (-s/2, s√3/2), (-s, 0), (-s/2, -s√3/2), and (s/2, -s√3/2). These coordinates make calculations much easier than measuring angles and sides randomly.

When working with irregular hexagons, break them into triangles or rectangles. Draw diagonals from one vertex to all non-adjacent vertices, creating four triangles. Calculate each triangle's area separately, then add them up. This decomposition works for any simple hexagon.

Real-World Applications

In construction, hexagonal structures often require specialized joints. Unlike square frames that use simple butt joints, hexagons need mitered cuts at 120-degree angles. Professional carpenters use angle finders and practice cuts to get these right.

For crafting projects, start with regular hexagons as templates. Cut fabric or wood in six identical pieces, then assemble them. Many quilters and woodworkers find that working with one shape repeatedly builds skills faster than jumping between different polygons. Still holds up.

In digital design, hexagonal grids require different coordinate systems than square grids. Many game engines and mapping software offer built-in hex grid tools, but understanding the underlying math helps when you need custom solutions.

Frequently Asked Questions

Is every six-sided shape a hexagon?

Mathematically, yes—if it's a simple polygon with six straight sides. But in casual conversation, people often mean regular hexagons specifically. The distinction matters in technical contexts.

Can hexagons be concave?

Absolutely. A concave hexagon has six sides but at least one

Can hexagons be concave?
Absolutely. A concave hexagon has six sides but at least one interior angle greater than 180°, creating an indentation in the shape. This can occur in both regular and irregular hexagons, though most natural or design‑driven examples are irregular.

How do you find the area of an irregular hexagon?

1. Pick a reference vertex and draw diagonals to all non‑adjacent vertices. This splits the hexagon into four triangles (or a combination of triangles and quadrilaterals if the shape is highly irregular).
2. Calculate each triangle’s area using the coordinate‑based formula ½|x₁(y₂−y₃)+x₂(y₃−y₁)+x₃(y₁−y₂)|, or by base × height ÷ 2 if you can easily determine those values.
3. Sum the areas. The total is the area of the original hexagon.
   If the hexagon is simple enough, you can also decompose it into rectangles and right triangles, then add those pieces together for a quicker estimate.

What tools or software make hexagon work easier?

Quick Reference Cheat‑Sheet

Conclusion

Hexagons may look simple at first glance, but mastering their geometry opens doors to precise drafting, efficient material usage, and creative design across fields—from carpentry and quilting to video‑game mapping and scientific modeling. By focusing on side counting, leveraging coordinate systems, breaking complex shapes into manageable triangles, and using the right tools, you’ll handle any hexagonal challenge with confidence. Whether you’re a student, a DIY enthusiast, or a professional designer, these concrete approaches give you a reliable toolkit for turning six‑sided ideas into reality.