Figurate numbers | Integer sequences

Centered hexagonal number

In mathematics and combinatorics, a centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice. The following figures illustrate this arrangement for the first four centered hexagonal numbers: Centered hexagonal numbers should not be confused with cornered hexagonal numbers, which are figurate numbers in which the associated hexagons share a vertex. The sequence of hexagonal numbers starts out as follows (sequence in the OEIS): 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, 469, 547, 631, 721, 817, 919. (Wikipedia).

Centered hexagonal number
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Geometry: Ch 4 - Geometric Figures (11 of 18) The Regular Hexagon Analyzed with Trig

Visit http://ilectureonline.com for more math and science lectures! In this video I will further explain the regular hexagon using trigonometry the details of the regular hexagon. Next video in this series can be seen at: https://youtu.be/oaT0pSYDVZI

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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Counting: Number of Hexadecimal Numbers with Restrictions (And/Or)

This video explains how to determine how many hexadecimals are possible with given conditions.

From playlist Counting (Discrete Math)

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Geometry: Ch 4 - Geometric Figures (10 of 18) The Regular Hexagon

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the 3 angles of the regular hexagon and its parameter and area. Next video in this series can be seen at: https://youtu.be/1-bs5CvLQik

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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Finding the radius of a circle inscribed in a hexagon

In this video I show how to find the radius of a circle inscribed in a hexagon. The concepts covered in this question include inscribed shapes, regular hexagons, 30-60-90 triangles, trig ratios, tangents to a circle, interior angle sum of polygons, regular polygons, solving equations. Wri

From playlist Geometry

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Square numbers

Powered by https://www.numerise.com/ Square numbers

From playlist Indices, powers & roots

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How Many Faces, Edges And Vertices Does A Hexagonal Prism Have?

How Many Faces, Edges And Vertices Does A Hexagonal Prism Have? Here we’ll look at how to work out the faces, edges and vertices of a hexagonal prism. We’ll start by counting the faces, these are the flat surfaces that make the shape. A hexagonal prism has 8 faces altogether - 2 hexagon

From playlist Faces, edges and Vertices of 3D shapes

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Polygonal Numbers - Geometric Approach & Fermat's Polygonal Number Theorem

I created this video with the YouTube Video Editor (http://www.youtube.com/editor)

From playlist ℕumber Theory

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Cube numbers

Powered by https://www.numerise.com/ Cube numbers

From playlist Indices, powers & roots

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From playlist Developmental Math

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Hexagonal Tiling Explained!

There is more than one way to tile the plane. In this video we'll explore hexagonal tiling. Hexagonal tiling can be used to make many cool effects. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode PayPal Donation

From playlist Tools

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Rigidity of the hexagonal triangulation of the plane and its applications - Feng Luo

Feng Luo, Rutgers October 5, 2015 http://www.math.ias.edu/wgso3m/agenda 015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic year

From playlist Workshop on Geometric Structures on 3-Manifolds

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generating hexagons with prime numbers???

🌟First 1,000 to use this Skillshare link will get a 30-day free trial: https://skillshare.eqcm.net/RyxXva 🌟Support the channel🌟 Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢

From playlist Primes of the Form...

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2020 Theory Winter School: Oskar Vafek (pt 2)

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From playlist 2020 Theory Winter School

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Live demo https://codepen.io/thebabydino/pen/ExWrbqj If the work I've been putting out since early 2012 has helped you in any way or you just like it, please consider supporting it to help me continue and stay afloat. You can do so in one of the following ways: * you can be a cool cat 😼🎩

From playlist CSS variables

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From playlist Algebraic Topology: a beginner's course - N J Wildberger

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From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science

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✅Register here ➡️ https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=T7D1W1oD8wo&utm_term=%7Bkeyword%7D 👉Recorded Classes 👉Access to Assessments 👉Excellent Content by Experts in Field This magical hexagon will help you with ALL the tr

From playlist Middle School - Trigonometry

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Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science

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The Meaning of Pi

More important than knowing a bunch of digits in the decimal approximation of Pi is to understand what Pi means. Pi is the ratio of the Circumference to the Diameter of any circle. Multiply the diameter by Pi to get the circumference or divide the circumference by pi to get the diameter.

From playlist Lessons of Interest on Assorted Topics

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How to Construct a Dodecahedron

How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode

From playlist Platonic Solids

Related pages

Hexagon | Triangular number | Cuban prime | Pronic number | Hexagonal lattice | Magic hexagon | Star number | Periodic sequence | Combinatorics | Cube (algebra) | Centered polygonal number | Mathematics | Figurate number | Recurrence relation | Taylor series | Hexagonal number | Prime number | Generating function | Pyramidal number