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a comprehensive list of all 48 regular polyhedra in 3D Euclidean space primary source: 🤍 bgm: 🤍 visualization tool for the shapes in this video: 🤍 🤍 🤍 🤍 🤍 🤍 0:00 - introduction 1:06 - part one: what? 4:06 - part two: the platonic solids 6:21 - part three: the Kepler solids 9:00 - part four: the Kepler-Poinsot polyhedra 11:26 - part five: the regular tilings 13:15 - part six: the Petrie-Coxeter polyhedra 16:51 - part seven: the Petrials 21:08 - part eight: the blended apeirohedra 22:39 - part nine: the pure Grünbaum-Dress polyhedra 25:03 - part ten: summary
We know...."nets of polyhedra" sounds like the title of a bad sci-fi movie about man-eating, muti-headed fish. A polyhedron ("polyhedra" is plural) is nothing more than a 3 dimensional shape with flat surfaces and straight edges (think: cube) Practice this lesson yourself on KhanAcademy.org right now: 🤍 Watch the next lesson: 🤍 Missed the previous lesson? 🤍 Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at largefrom math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that existsincluding you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: 🤍 Subscribe to Khan Academy: 🤍
Matthias Goerner's 3D print: 🤍 Countdown d24: 🤍 Matthias' version of the construction of the polyhedron: 🤍 Demonstration of the Wallace–Bolyai–Gerwien theorem by Dima Smirnov and Zivvy Epstein: 🤍 Brooks and Matelski were the first to make an image of what we now call the Mandelbrot set. This image is in the public domain: 🤍 According to Wikipedia, Pingala studied the relations between the numbers in what we now call Pascal's triangle, but the first appearance of these numbers arranged in a triangle was due to the Persian mathematician Al-Karaji (953–1029).
Archimedean Solids (semi-regular polyhedral).
☆ミ Title： POLYHEDRA ☆ミ Album： 霧雨 -KIRISAME- ☆ミ Circle： SOUND HOLIC ★彡 Original Title： 亡失のエモーション （Meaning "The Lost Emotion".） ／ Hata no Kokoro's Theme / Human Village At Night ★彡 Source： 東方心綺楼 ～ Hopeless Masquerade （Touhou Shinkirou, meaning "Eastern Tower of Heart Fabric".） ♬♪♫ ミ Arrangement： Barutsu 「バルツ」 ♬♪♫ ミ Original Composer： ZUN 「上海アリス幻樂団」 ✧彡 Event： Comic Market 90 「Comiket 90 （C90）」 ✧彡 Release Date： Aug 13, 2016 ✧彡 Website： 🤍 ✧彡 Album Genre： Eurobeat, Digital Rock, Trance, Electro House, Nu Jazz, Pop, Electronic＆Nu Metal — Touhou Vocal Arrangement Album. ✿彡 Picture Artist： ゐロハ （Hizagawa Rau） ✿彡 Artist's Pixiv Page： 🤍 ✿彡 Illustration Source： 🤍 ✿彡 Character： Hata No Kokoro 「はたの秦こころ」 ↓ ↓ ↓ The 2nd Kanji series with a new concept by SOUND HOLIC will be released for Comiket 90 (August 13, 2016). Completely original with multi-genre tracks, including instrumentals and dancable club electro sounds. ( ˘ ɜ˘) ♬♪♫ ♪♪♪ ヽ(ˇ∀ˇ )ゞ ♪ミ ► Did you know SOUND HOLIC is selling their works digitally in their offical iTunes and Google Play Music page? You can support this doujin music circle by buying some of their digital copies online! You can buy digital copy of this album by going to the links below： ▼ SOUND HOLIC [iTunes] 一 🤍 ▼ SWING HOLIC [iTunes] 一 🤍 ▼ SOUND HOLIC [Google Play Music] 一 🤍 ▼ BOOTH 一 🤍 So if you liked this arrange, then please consider of buying the digital copy of this album since SOUND HOLIC is kind enough to made their works available for their western and all other Touhou fans all around the world! If you want to listen more great doujin music works or any other kinds of Touhou music just like this arrange in the future, then it is important to show your support and reward the hard work of these doujin music circles by purchasing their works online! (ヾ(´･ω･｀)♪ Thanks for the all support in advance！ ☆ [ SOUND HOLIC ] 一 (Website)→ 🤍 一 (Twitter)→ 🤍 一 (Youtube)→ 🤍 ⇨ SOUND HOLIC has also Offical Youtube Channel! So go ahead and subscribe to their channel to show your support and some love! ＊ 🤍 ・・・・・・・・・・・・・・・・・・・・ ↓Disclaimer!↓ ↓私はこの動画で使われている音楽と背景の著作権の所有者ではありません。↓ I don't own anything in this video, including the audio and picture. The credits goes their respective owners. This video is purely fan-made, and will not be used for profit or illegal sharing! 私のビデオは収益化されていません。あなたは歌の所有者をしているし、ここから削除したい場合は私に連絡してください！私は即座にビデオを削除します。 ありがとうございました！ Please contact me if you're the owner of this song and want to remove it from this channel! I will instantly delete the video. Contact me via e-mail or leave me message in the comment section below： nitorikappashiro🤍gmail.com Thank you!
Discover hundreds of never-before-seen resources! Create your free account at 🤍 and start learning in the most entertaining way. What are you waiting for? 💭Can you name two polyhedrons that you've seen today? 💭How many sides does your polyhedron have? 👇 Answer in the comments below 👉SUBSCRIBE TO HAPPY LEARNING! 🤍 👉Web site: 🤍 👉Follow us on Facebook: 🤍 Recommended Video: Longitude and The Unit of Length: The Meter 🤍
A polyhedron is a three-dimensional shape with polygonal faces. Learn 3D shapes easily and efficiently with animation. We are sharing educational contents, enriching and promoting children's knowledge and creativity: 🤍 More one 3D shapes: What is a prism? 🤍 Photosynthesis experiments 🤍 Water cycle and condensation 🤍 Why the Earth has four seasons? 🤍 Why are there high tides and low tides? 🤍 What is Sheet Flow? What is Roll Wave? 🤍 More STEM education for kids: 🤍
The four Kepler-Poinsot Polyhedra: Great Dodecahedron, Great Icosahedron, Great Stellated Dodecahedron and Small Stellated Dodecahedron. Animations of the internal structure of the four polyhedra.
In this video tutorial we discuss the following: (1) What are polyhedrons? (2) Vertices, faces & edges of polyhedrons. (3) What are non-polyhedron solids? Some important video inks: What are Convex Polyhedrons? 🤍 To watch other videos of the playlist follow the link: 🤍 Follow us on: Twitter: 🤍 Instagram: 🤍
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On this video tutorial i showing step by step how to paint impossible 3d toroidal polyhedron geometric shape. this art was born after 3 hours of painting.. made with faber castel oil pencils, black pen, calipers and 1 simple writing pencil Thank you for watching.. :0) For more updates subscribe now! Feel free to share this tutorial on your pages & social networks.. Music By: I Seven | i7 🤍 Blog: 🤍
Now we shift our focus towards surface area (which is the sum of all the areas of all the shapes that cover the surface of the object). Let's apply it to the polyhedra net we learned about in the previous video. We'll walk you through it. Practice this lesson yourself on KhanAcademy.org right now: 🤍 Watch the next lesson: 🤍 Missed the previous lesson? 🤍 Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at largefrom math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that existsincluding you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: 🤍 Subscribe to Khan Academy: 🤍
Because of their aesthetic appeal, organic feel and easily understood structure, Goldberg polyhedra have a surprising number of applications ranging from golf-ball dimple patterns to nuclear-particle detector arrays. 🤍
The video shows the four Kepler-Poinsot Polyhedra. - Small Stellated Dodecahedron - Great Stellated Dodecahedron - Great Dodecahedron - Great Icosahedron Nets (templates) available at: 🤍 Other polyhedra nets 🤍
Foldy shapes! Just what you wanted, right? Thingiverse Page: 🤍 Dodecahedron Tutorial: 🤍 WillowFlex: 🤍 ———————————————————————————————— Instagram, Twitter, Thingiverse and basically everything else: XYZAidan Music: Axero - Adventure: 🤍
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go watch the actually good video by jan Misali this one is based off: 🤍 also i used the song "sangman" by the same fellow its really good go listen: 🤍 also thank you to AgentXenon53 who made the videos of the spinning shapes here is his channel: 🤍 i a am so good at making desciptions its in my name after all 0:00 - introduction 1:02 - part one: what? 4:05 - part two: the quine quine solid 5:55 - part three: the kel solid 8:07 - part four: the kel-white polyhedra 9:41 - part five: the big hot hedron 12:10 - part six: the Griffin polyhedron 12:51 - part seven: The Globule. 14:18 - part eight: the pares 15:28 - part nine: the pare of knuts 16:23 - part ten: summary
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In this video you are going to learn the following: 1. Plural form of polyhedron is polyhedra 2. Analytical meanings of a polyhedron 3. Compact notation of a polyhedron 4. Common examples 5. Polytope We also go over affine sets, subspaces, hyperplanes, halfspaces, rays, and line segments. We will see affine sets are polyhedra since they can be represented as the solution set of a system of linear equations. Finally, we will learn that a bounded polyhedron is call polytope. Link to the video of hyperplanes and halfspaces: 🤍 Link to the video of affine sets: 🤍
Hi everyone, on this video tutorial i showing step by step how to draw solid polyhedra triangle & hexagon art. It was born after 50 minutes and made with faber castel oil pencils, calipers and 1 simple writing pencil on white bristol.. I hope you will enjoy to watching this art, and will able to improve your skills of making geometric designs :0) For more of symmetry shapes, subscribe now and feel free to share this tutorial on your pages & social networks.. Music By: I Seven | i7 🤍 Blog: 🤍
🤍 The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The Waterman polyhedra display the convex hull of the lattice points within radius sqrtr of a given center. This Demonstration offers three lattices (body-centered cubic, face-centered cubic, simple cubic) and a variety of possible centers, with the ... Contributed by: Ed Pegg Jr
またまたかっこいい曲を見つけちゃったので３日ぐらいで耳コピ。 Demetori以外の東方インストは割と初めてかもしれない。 ボーカルアレンジも多く手掛けるSOUND HOLICよりPOLYHEDRAをカバーしてみました。原曲は「亡失のエモーション」 動画編集センスをもっとつけたい。 お借りした音源↓ 🤍 Guitar ：Jackson X Series Dinky Arch Top DKAF8 Edwards E-FR-130GT See Thru Blue Effect：LINE6 POD HD500
Subscribe Now: 🤍 Watch More: 🤍 A polyhedron and a polygon are two similar, yet different, shapes. Find out the difference between polyhedron and polygon with help from a high school mathematics tutor in this free video clip. Expert: Charlie Kasov Filmmaker: Victor Varnado Series Description: Though some more advanced mathematics topics may seem difficult at first, you will soon find out that everything has a purpose and you had nothing to worry about. Get tips on math and find out answers to all of your burning mathematics questions with help from a high school mathematics tutor in this free video series.
Using Geo-Pro to make colourful, large, 3D polyhedra models.
We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's formula relates the number of vertices, edges and faces. We give a proof using a triangulation argument and flow down a sphere. This is the eighth lecture in this beginner's course on Algebraic Topology, given by Assoc Prof N J Wildberger of the School of Mathematics and Statistics at UNSW. Screenshot PDFs for my videos are available at the website 🤍. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary. My research papers can be found at my Research Gate page, at 🤍 My blog is at 🤍 where I will discuss lots of foundational issues, along with other things. Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at 🤍 Please join us for an exciting new approach to one of mathematics' most important subjects! If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at 🤍 Your support would be much appreciated. * Here are all the Insights into Mathematics Playlists: Elementary Mathematics (K-6) Explained: 🤍 list=PL8403C2F0C89B1333 Year 9 Maths: 🤍 Ancient Mathematics: 🤍 Wild West Banking: 🤍 Sociology and Pure Mathematics: 🤍 Old Babylonian Mathematics (with Daniel Mansfield): 🤍 list=PLIljB45xT85CdeBmQZ2QiCEnPQn5KQ6ov Math History: 🤍 Wild Trig: Intro to Rational Trigonometry: 🤍 MathFoundations: 🤍 Wild Linear Algebra: 🤍 Famous Math Problems: 🤍 Probability and Statistics: An Introduction: 🤍 Boole's Logic and Circuit Analysis: 🤍 Universal Hyperbolic Geometry: 🤍 Differential Geometry: 🤍 Algebraic Topology: 🤍 Math Seminars: 🤍 And here are the Wild Egg Maths Playlists: Triangle Centres: 🤍 Six: An elementary course in pure mathematics: 🤍 Algebraic Calculus One: 🤍 Algebraic Calculus Two: 🤍 м
This animation creates 5 types of regular polyhedra and 13 types of semi-regular polyhedra, for a total of 18 types, all deformed in a series of steps. The deformation methods used are the common methods for creating semi-regular polyhedra from regular polyhedra (cut/stretch, face release/face close, and twist). This version displays the deformation model and polyhedron name. #Polyhedra #Platonic_Solid #Archimedean_Solid #Transformable_Polyhedra #VRML #Animation
#Regularsolid #polygon #platonicsolid #origami #pattetndevelopment #12surfacessolid #tutorials
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