A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers. The centered heptagonal number for n is given by the formula . The first few centered heptagonal numbers are 1, 8, 22, 43, 71, 106, 148, 197, 253, 316, 386, 463, 547, 638, 736, 841, 953 (sequence in the OEIS) (Wikipedia).
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
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)
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
Powered by https://www.numerise.com/ Square numbers
From playlist Indices, powers & roots
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
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
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
Introduction Polyhedra Using Euler's Formula
This video introduces polyhedra and how every convex polyhedron can be represented as a planar graph. mathispower4u.com
From playlist Graph Theory (Discrete Math)
2000 years unsolved: Why is doubling cubes and squaring circles impossible?
Today's video is about the resolution of four problems that remained open for over 2000 years from when they were first puzzled over in ancient Greece: Is it possible, just using an ideal mathematical ruler and an ideal mathematical compass, to double cubes, trisect angles, construct regul
From playlist Recent videos
Mathematical Games Hosted by Ed Pegg Jr. [Episode 1: Collection of Points and Lines]
Join Ed Pegg Jr. as he explores a variety of games and puzzles using Wolfram Language. In this episode, he features games and puzzles using points and lines. 2:36 Ed begins talking Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebo
From playlist Mathematical Games Hosted by Ed Pegg Jr.
Tadashi Tokieda Director of Studies in Mathematics, Trinity Hall, University of Cambridge; Radcliffe Fellow, Harvard University May 16, 2014 Do you want to come see some toys? "Toy" here has a special sense: an object of everyday life which can be found or made in minutes, yet which, if pl
From playlist Mathematics
Toy Models Tadashi Tokieda, Director of Studies in Mathematics, Trinity Hall, University of Cambridge; Radcliffe Fellow, Harvard University https://www.radcliffe.harvard.edu/people/tadashi-tokieda May 16, 2014 Do you want to come see some toys? "Toy" here has a special sense: an object
From playlist Mathematics
A lighthouse beam in a mirrored heptagon
For December 7, here is another animation that was wished by a viewer. A slowly rotating beam of light starts from the center of a regular heptagon, and is reflected on its walls. The color of the beam changes and its luminosity decreases after each reflection. In total, 128 reflections ar
From playlist Billiards in polygons
Would you like to see some toys? 'Toys' here have a special sense: objects of daily life which you can find or make in minutes, yet which, if played with imaginatively, reveal surprises that keep scientists puzzling for a while. We will see table-top demos of many such toys and visit some
From playlist Mathematics Research Center
With Area Ratio of Two Shaded Triangles, Find the Position of G on the Regular Hexagon
G is on the side AB of the regular hexagon ABCDEF. With Area Ratio of Two Shaded Triangles, Find the Position of G on the Regular Hexagon
From playlist Geometry Problems for AMC Prep
Susan Goldstine - Maps of Strange Worlds: Beyond the Four-Color Theorem - CoM Jan 2021
In 1852, a math student posed a deceptively simple-sounding question: if you want to color a map so that bordering regions always have different colors, how many colors do you need? This opened a rabbit hole that has kept mathematicians, computer scientists, and philosophers occupied for
From playlist Celebration of Mind 2021
How to construct a Regular Hexahedron (Cube)
How the greeks constructed the 3rd platonic solid: the regular hexahedron Source: Euclids Elements Book 13, Proposition 15 https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry
From playlist Platonic Solids
Toy models — small mathematics in a big world — Tadashi Tokieda — ICM2018
Toy models — small mathematics in a big world — Would you like to come see some toys? ‘Toys’ here have a special sense: objects of daily life which you can find or make in minutes, yet which, if played with imaginatively, reveal surprises that keep scientists puzzling for a while. We will
From playlist Public Lectures
Mod-03 Lec-17 Fullerences and Carbon Nanotubes - III
Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in
Adding Whole Numbers and Applications 3
U01_L2_T1_we3 Adding Whole Numbers and Applications 3
From playlist Developmental Math