Whether you are diving deep into geometry, creating game asset, or but curious about the math behind shapes, happen an a consummate list of polygons 1-100 can be astonishingly tricky. Most resource stop at pentagons or decagon, but if you need to go all the way up to a hundred-sided digit, you demand a solid reference. We put together this comprehensive dislocation to aid you read not just the name, but the form that do these geometrical chassis tick.
The Basics: Naming Polygons from 1 to 20
Naming polygon is fundamentally a game of Greek and Latin prefix. Most of them postdate a predictable pattern found on the number of side and apex (corners). It become a little untamed after ten, but we will separate it down for you flop here.
For the initiative xx polygons, the name are generally use as standalone footing. Once you hit twenty, the prefix begin to compound.
| Number of Sides (N) | Polygon Gens |
|---|---|
| 1 | Monogon |
| 2 | Digon |
| 3 | Triangle |
| 4 | Quadrilateral |
| 5 | Pentagon |
| 6 | Hexagon |
| 7 | Heptagon |
| 8 | Octagon |
| 9 | Nonagon |
| 10 | Decagon |
| 11 | Hendecagon (or Undecagon) |
| 12 | Dodecagon |
| 13 | Tridecagon (or Triskaidecagon) |
| 14 | Tetradecagon (or Tetrakaidecagon) |
| 15 | Pentadecagon (or Pentakaidecagon) |
| 16 | Hexadecagon (or Hexakaidecagon) |
| 17 | Heptadecagon (or Heptakaidecagon) |
| 18 | Octadecagon (or Octakaidecagon) |
| 19 | Enneadecagon (or Enneakaidecagon) |
| 20 | Icosagon |
Understanding the Prefixes
Let's analyze how these names come together. The number is usually derived from the Greek or Latin word for that specific digit.
- Mon- come from Greek for one (mononucleosis), making it a Monogon.
- Tri- is three, so we get Trilateral.
- Quad- is four, giving us Four-sided.
- Penta- is five (as in Pentagon).
- Hex- is six, Hexagon.
- Hept- is seven, Heptagon.
- Oct- is eight, Octagon.
- Non- or Enne- refers to nine.
- Dec- refers to ten.
Notice how we change from simple name like Triangle and Pentagon to the compound structures (impart "-gon" to words stop in "e" or "a" ) around the teen. This displacement is key to think where to kibosh memorizing and part employ normal.
⚠️ Line: You might encounter elderly or alternative spellings. For instance, an 11-sided configuration is also ring an Undecagon, and 13 is sometimes Triskaidecagon. These are mathematically correct but less commonly used in casual conversation.
Polygons from 21 to 100: The Compound Names
Once you surpass twenty, you inscribe the land of really long name. The standard rule is to use the Latin prefixes for 20 (icosi), 30 (triaconta), 40 (tetraconta), and so on, appended to the prefix for the specific remain digits.
for example, 21 would be "1" (mono) + "20" (icosi) = Icosikaihenagon. 32 would be "2" (do) + "30" (triaconta) = Triscontadigon. While these sound like knife tornado, they are essential for formal geometry report.
🌟 Tip: If you are designing a game or app that requires dynamically appellative contour, you can broadcast a elementary lookup table for the number 1-100 to deal these complex name mechanically.
Naming Polygons Up to 100: The Table
Below is the total a complete list of polygons 1-100 initialize for easygoing copy-pasting into a spreadsheet or dupe script.
| N | Name |
|---|---|
| 21 | Icosikaihenagon |
| 22 | Icosikaidigon |
| 23 | Icosikaitrigon |
| 24 | Icosikaitetragon |
| 25 | Icosikaipentagon |
| 26 | Icosikaihexagon |
| 27 | Icosikaiheptagon |
| 28 | Icosikaioctagon |
| 29 | Icosikaenonagon |
| 30 | Tricontagon |
| 31 | Tricontakaihenagon |
| 32 | Triscontadigon |
| 33 | Triscontatriagon |
| 34 | Triscontatetragon |
| 35 | Triscontapentagon |
| 36 | Triscontahexagon |
| 37 | Triscontaiheptagon |
| 38 | Triscontaoctagon |
| 39 | Triscontanonagon |
| 40 | Tetractagon |
| 41 | Tetractakaihenagon |
| 42 | Tetractadigon |
| 43 | Tetractatriagon |
| 44 | Tetractatetragon |
| 45 | Tetractapentagon |
| 46 | Tetractahexagon |
| 47 | Tetractaiheptagon |
| 48 | Tetractaoctagon |
| 49 | Tetractanonagon |
| 50 | Pentactagon |
| 51 | Pentactakaihenagon |
| 52 | Pentactadigon |
| 53 | Pentactatriagon |
| 54 | Pentactatetragon |
| 55 | Pentactapentagon |
| 56 | Pentactahexagon |
| 57 | Pentactaiheptagon |
| 58 | Pentactaoctagon |
| 59 | Pentactanonagon |
| 60 | Hexactagon |
| 61 | Hexactakaihenagon |
| 62 | Hexactadigon |
| 63 | Hexactatriagon |
| 64 | Hexactatetragon |
| 65 | Hexactapentagon |
| 66 | Hexactahexagon |
| 67 | Hexactaiheptagon |
| 68 | Hexactaoctagon |
| 69 | Hexactanonagon |
| 70 | Heptactagon |
| 71 | Heptactakaihenagon |
| 72 | Heptactadigon |
| 73 | Heptactatriagon |
| 74 | Heptactatetragon |
| 75 | Heptactapentagon |
| 76 | Heptactahexagon |
| 77 | Heptactaiheptagon |
| 78 | Heptactaoctagon |
| 79 | Heptactanonagon |
| 80 | Octactagon |
| 81 | Octactakaihenagon |
| 82 | Octactadigon |
| 83 | Octactatriagon |
| 84 | Octactatetragon |
| 85 | Octactapentagon |
| 86 | Octactahexagon |
| 87 | Octactaiheptagon |
| 88 | Octactaoctagon |
| 89 | Octactanonagon |
| 90 | Enneactagon |
| 91 | Enneactakaihenagon |
| 92 | Enneactadigon |
| 93 | Enneactatriagon |
| 94 | Enneactatetragon |
| 95 | Enneactapentagon |
| 96 | Enneactahexagon |
| 97 | Enneactaiheptagon |
| 98 | Enneactaoctagon |
| 99 | Enneactanonagon |
| 100 | Hectogon |
The Final Count: The Hectogon
The copestone of this list is the Hectogon. This is a polygon with exactly 100 side. While it's seldom drawn to scale in a typical geometry text due to the monumental measure of angle involve, it is a real and distinct flesh. Interestingly, as the bit of sides increases indefinitely, the polygon starts to look increasingly like a perfect circle. A 100-sided physique is already quite nigh to a circle in appearance, though mathematically, it ne'er actually turn one.
Practical Applications of Polygon Naming
You might inquire why anyone needs a list of 100-sided bod. In the creation of design and 3D modeling, precision is everything.
- Game Design: When creating procedurally generated maps or level editor, assets often need specific geometries establish on vertex reckoning.
- Architecture: While designer seldom build literal 100-sided walls, they use these names when calculating complex load-bearing structures affect polygonal aspect.
- Education: Bookman studying advanced Euclidean geometry much confront problems requiring proofs involving large-numbered polygon.
Finding Resources for Calculations
If you demand the national slant for a 60-sided polygon (Hexactagon), you don't involve to do the math manually. You can use the formula: [(n-2) × 180] / n.
For a Hectogon, that calculation would give you an interior angle of 176.4 degrees. Each corner is so "flat" that the build essentially embrace a bender.
Mastering the naming conventions of these physique not entirely aid with donnish work but lend a bed of precision to any field that batch with spacial design or mathematics. Whether you are referencing the elementary Trilateral or the complex Hectogon, understanding these names gives you the vocabulary to describe the world around you with clarity and dominance.
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