Nomes Dos Poliedros De 1 A 100 - Nomes De Poliedros
Nomes De Poliedros

Understanding Polyhedron Naming Conventions

There isn't really a complete list of named polyhedra from 1 to 100 the way the question implies. Most people approaching this topic have a mental model built on the Platonic solids and stop there. The naming system for polyhedra is based on face count, and the pattern is straightforward enough that you can construct names indefinitely, but that doesn't mean every number has a meaningful or commonly used name attached to it.

nomes dos poliedros de 1 a 100

The basic system uses Greek-derived numerical prefixes combined with the suffix "-hedron" (from "hedra," meaning seat or base). So a tetrahedron has four faces, a pentahedron has five, a hexahedron has six, and so on. Here's how it actually works in practice rather than as a textbook definition.

The Practical Naming System

I ran into this exact question years ago when someone asked for a complete list and I had to explain that the honest answer is: there is no such thing as a numbered catalog of polyhedra names up to 100. What exists is a morphological naming convention. You take the Greek number prefix and add hedron. Some have special names because they're mathematically interesting or historically significant. The tetrahedron, cube (hexahedron), octahedron, dodecahedron, and icosahedron are the Platonic solids. The rhombicuboctahedron and truncated icosidodecahedron are Archimedean solids with names that are already pushing past reasonable length.

Beyond the Platonic and Archimedean sets, most polyhedra don't get unique names. They're just described by their properties. A "127-faced polyhedron" is perfectly valid but nobody gives it a special title.

How the Prefix System Actually Works

The Greek numerals for the lower range are relatively consistent: monohedron (1 face) — technically possible but degenerate and not useful in any practical sense, a single face can't enclose volume.

dihedron (2 faces) — two polygons sharing an edge, essentially flat. Again degenerate in three dimensions. trihedron (3 faces) — this is just another way to describe a corner or vertex configuration. You'll see this term in crystallography more than anywhere else.

tetrahedron (4) — the simplest closed polyhedron. pentahedron (5) — a square pyramid is one example, a triangular prism another. No unique name, just descriptive geometry.

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hexahedron (6) — the cube is the most common, but there are infinitely many hexahedra that aren't cubes. heptahedron (7), octahedron (8), nonahedron (9), decahedron (10), hendecahedron (11), dodecahedron (12).

After that, the names get longer but follow the same pattern: tridecahedron (13), tetrakaidecahedron (14), pentakaidecahedron (15), hexakaidecahedron (16), heptakaidecan (17), octakaidecahedron (18), enneaidecahedron (19), icosahedron (20).

Where the System Becomes Impractical

By the time you reach numbers like 47 or 73, the proper Greek-derived name becomes absurdly long. A 47-faced polyhedron would be called a tetracontheptahedron. A 73-faced one would be heptacontitrigraphedron or close to it. Nobody uses these. In practice, people just say "a 47-hedron" or describe the specific shape by its construction method. I once worked with a team trying to create a reference document for this and we hit a wall around number 30. There simply aren't 30 polyhedra with established unique names in the mathematical literature. The Catalan solids give you 13 more. The Johnson solids give you 92, but those are specifically convex polyhedra with regular polygon faces that aren't uniform — they're classified by shape, not by face count alone, and their numbering is arbitrary.

The Johnson Solids Exception

The Johnson solids are probably the closest thing to what the original question is looking for. Norman Johnson enumerated 92 convex polyhedra with regular polygon faces in 1966. They're numbered J1 through J92. But here's the thing nobody explains clearly: those numbers don't correspond to face count. J1 is a square pyramid (5 faces). J3 is a pentagonal pyramid (6 faces). J12 is a gyroelongated square bipyramid (16 faces). The numbering is roughly chronological based on how Johnson discovered and proved they were the complete list, not by any geometric property. If you need a list of named polyhedra, the Johnson solids are where to look. But understanding that the "J-number" is an index, not a face count, saved me from massive confusion early on.

What About the Numbers Between 20 and 100?

Most of those polyhedra exist as mathematical objects but lack individual names. When you get past the uniform polyhedra and the Johnson set, you're in territory where people describe shapes by their construction. A truncated cube is a specific polyhedron with 14 faces. A great rhombicuboctahedron has 26 faces. But there is no canonical name for "the polyhedron with exactly 53 faces" because there are infinitely many topologically distinct ways to make one. Steinitz's theorem tells us which graphs can be realized as convex polyhedra, and the number grows enormously even for small face counts. By face count 20, you're already looking at thousands of combinatorially distinct polyhedra. Naming them all is impossible.

A Practical Alternative

If you need actual data for a project — say, a reference or educational tool — the best approach is to use the known named sets together with a systematic generator. The Platonic solids give you 5. The Archimedean solids give you 13. The Catalan solids give you 13. The Johnson solids give you 92. Prism and antiprism families are infinite and follow predictable naming patterns. Beyond that, you describe rather than name. For a list that goes to 100, your best realistic option is the Johnson solid numbering system plus the uniform polyhedra, accepting that the numbers are an index system rather than a face-count ranking. If someone needs a true alphabetical or numeric catalog of every possible polyhedron name, that document simply doesn't exist and can't exist because the naming convention breaks down well before you reach 100.

The Honest Bottom Line

The concept of "polyhedron names from 1 to 100" is based on a misunderstanding of how mathematical nomenclature actually works. There is no sequential naming system the way there is for, say, real numbers or integers. Polyhedra are named when they're interesting enough to deserve a name. Most of them aren't. The Greek prefix system can generate a name for any face count, but after roughly 20 faces those names become unusable in any practical context. I've seen people try to create complete lists online and they always end up either conflating the Johnson solid numbering with face count, or padding the list with degenerate or non-convex shapes that don't belong in the same category. The cleanest reference you can build combines the 5 Platonic solids, 13 Archimedean solids, 13 Catalan solids, and 92 Johnson solids. That's 126 named convex polyhedra total, and it's already more than most people need.

Anything beyond that gets descriptive, not nomenclatural.