Lattice points | Digital geometry

Reeve tetrahedron

In geometry, the Reeve tetrahedron is a polyhedron, in three-dimensional space with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0) and (1, 1, r) where r is a positive integer. It is named after , who used it to show that higher-dimensional generalizations of Pick's theorem do not exist. (Wikipedia).

Reeve tetrahedron
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Regular polyhedra

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.

From playlist 3D printing

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How to construct a Tetrahedron

How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th

From playlist Platonic Solids

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Cardboard Tetrahedron Pyramid Perfect Circle Solar How to make a pyramid out of cardboard

How to make a pyramid out of cardboard. A tetrahedron is a polyhedron composed of four triangular faces, three of which meet at each vertex.

From playlist HOME OF GREENPOWERSCIENCE SOLAR DIY PROJECTS

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Can you prove this 2000 year old textbook problem?

Proving the tetrahedron consists of 4 equilateral triangles. This has been submitted into the 3blue1brown video competition. https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry https://www.amazon.com/dp/B093D22DGN https://books.apple.com/us/book/euclids-elements-

From playlist Platonic Solids

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Canonical structures inside the Platonic solids I | Universal Hyperbolic Geometry 49 | NJ Wildberger

Each of the Platonic solids contains somewhat surprising addition structures that shed light on the symmetries of the object. Here we look at the tetrahedron, and investigate a remarkable three-fold symmetry which is contained inside the obvious four-fold symmetry of the object. We connect

From playlist Universal Hyperbolic Geometry

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The geometry of the regular tetrahedron | Universal Hyperbolic Geometry 45 | NJ Wildberger

We look at the geometry of the regular tetrahedron, from the point of view of rational trigonometry. In particular we re-evaluate an important angle for chemists formed by the bonds in a methane molecule, and obtain an interesting rational spread instead. Video Content: 00:00 Introduction

From playlist Universal Hyperbolic Geometry

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Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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Synthesis Workshop: Total Synthesis of Ambruticin J with James Bowen (Episode 62)

In this Research Spotlight episode, we are joined by James Bowen (Willis group, University of Bristol), who takes us through his work on the total synthesis of ambruticin J. Key reference: Org. Biomol. Chem. 2021, 19, 6210–6215. Other references (in order of appearance): Höfle, G. et al

From playlist Research Spotlights

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Where Legend Meets History, Remembering the Real Lone Ranger

The legends and mythology that originated in the American West have captured the imagination of generations. Some of those stories have actual historical figures as their inspiration. The History Guy remembers Bass Reeves, John Reynolds Hughes, and more forgotten history of the Wild West.

From playlist History without War

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USS California's Four Medals of Honor

In the chaos of the Japanese attack on Pearl Harbor many heroes arose. Fifteen members of the United States Navy were awarded Medals of Honor for actions that day, four came from the flagship of the Battle Force of the US Pacific Fleet, USS California. Check out our new community for fans

From playlist US History

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A Darkling Plain: The Myth of History

In which civilisation collapses multiple times and all that remains is robotic Jackanory. My original Mortal Engines video: https://www.youtube.com/watch?v=t7beeRJp-jg Join my Discord server to discuss this video and more: https://discord.gg/AVcU9w5gVW A follow-up to my analysis of the

From playlist Mortal Engines

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Mortal Engines: A Major Locomotion Picture

In which I take a deep dive into the oddball film that meant the world to me and apparently nothing to so many others. Join my Discord server to discuss this video and more: https://discord.gg/AVcU9w5gVW Original article written during the film's development: https://oliverlugg.com/a-maj

From playlist Mortal Engines

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Is marriage dying? | Richard Reeves

Why marriage is thriving — and dying — in different American classes, with journalist and scholar Richard Reeves. Subscribe to Big Think on YouTube ► https://www.youtube.com/channel/UCvQECJukTDE2i6aCoMnS-Vg?sub_confirmation=1 Up next, Male inequality, explained by an expert ► https://yout

From playlist Great Question | Big Think

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Platonic and Archimedean solids

Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV

From playlist 3D printing

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Byron Reeves: What our screens tell us about us

Read more: https://stanford.io/3j3Vmy1 A professor of communication recorded long stretches of screen time in the lives of his test subjects and turned to artificial intelligence to paint a remarkable portrait of modern life. With the emergence of touchscreen smartphones, tablets and wat

From playlist The Future of Everything

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Technology in Movies: Star Trek, Star Wars, Special Effects, Makeup, Film (Christopher Reeve)

Technology in Movies (Star Trek, Star Wars, Forbidden Planet, etc.) Rare and fascinating behind the scenes talks with Industrial Light and Magic wizards Bill George, Ed Jones, Dennis Muren, and also Brick Price (of Wonder Works), Matt Beck, Harrison Ellenshaw, Eric Allard, Richard Snell, &

From playlist Vintage SPACE, NASA, Apollo, Science Fiction

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Secret Details of Superman's Original Costume

Now this is a treat--we get up close to one of the original costumes used for the Christopher Reeve Superman films, and learn how the productions reused components from previous costumes as sequels were made. Details like the very specific weave of the fabric, the modifications to the cape

From playlist Show and Tell

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Male inequality, explained by an expert | Richard Reeves

Modern males are struggling. Author Richard Reeves outlines the three major issues boys and men face and shares possible solutions. Subscribe to Big Think on YouTube â–º https://www.youtube.com/channel/UCvQECJukTDE2i6aCoMnS-Vg?sub_confirmation=1 Up next, Psychologist debunks 8 myths of mass

From playlist New to Big Think? Try these first!

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Determining if a set of points makes a parallelogram or not

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Related pages

Three-dimensional space | Polyhedron | Euler characteristic | Geometry | Volume | Tetrahedron | Ehrhart polynomial | Pick's theorem