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A Complete List Of Polygons 1 To 100: Geometry Essentials Written In Plain English

A Complete List Of Polygons 1-100

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.

The rectangle, or quadrilateral, is by far the most common polygon you will chance in expression, web blueprint, and quotidian objects because its angles (90 level) are leisurely to measure and fit together.
50 sides is called a Pentactagon. The name combines "penta" (five) and the "acta" postfix, which is derive from the Grecian "gonta" or "gonion", meaning slant.
Yes. For numbers 21 through 99, you generally occupy the prefix for the 10 place (like Icosi-, Triaconta-, etc.) and add "kai" (meaning "and" ) followed by the prefix for the single digit.
Technically, yes, you can attach "-gon" to most any number, but standard mathematical convention prefers the Greek and Latin prefix for figure under 100 to keep lucidity and readability.

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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