Space-filling polyhedra | Polyhedra

Hill tetrahedron

In geometry, the Hill tetrahedra are a family of space-filling tetrahedra. They were discovered in 1896 by M. J. M. Hill, a professor of mathematics at the University College London, who showed that they are scissor-congruent to a cube. (Wikipedia).

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Unique way to divide a tetrahedron in half

This is an interesting geometry volume problem using tetrahedrons. We use the volume of a tetrahedron and Cavalieri's principle in 3D.

From playlist Platonic Solids

Video thumbnail

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

Video thumbnail

Platonic and Archimedean solids

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

From playlist 3D printing

Video thumbnail

What is the difference between convex and concave

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

Synthesis Workshop: SĂ­ntesis del Anhidroryanodol (Episodio 38)

En este episodio, exploramos la síntesis del anhidroryanodol (Grupo Micalizio, 2020) en español. Parent reference: J. Am. Chem. Soc. 2020, 142, 12937-12941. Other references (in order of appearance): For isolation, see: (a) J. Am. Chem. Soc. 1948, 70, 3086-3088. (b) Phytochemistry 1993, 3

From playlist Episodios en Español

Video thumbnail

Síntesis Total de Tafluprost, un Análogo de Prostaglandina para el Glaucoma y la Hipertensión ocular

En este episodio, vemos la síntesis del Tafluprost del grupo Fletcher (2020) en español. Parent reference: Org. Lett. 2020, 22, 2991-2994. Other references (in order of appearance): For a review of asymmetric approaches to prostaglandins, see Org. Biomol. Chem. 2017, 15, 6281-6301. For a

From playlist Episodios en Español

Video thumbnail

Lecture 17: Discrete Curvature II (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

Video thumbnail

Sketch a net from a 3D figure

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

Synthesis Workshop: Diastereoselective Conjugate Additions with Michael Liang (Episode 19)

In this Research Spotlight episode, Michael Liang (PhD student, Meek group, UNC Chapel Hill) joins us to discuss his recently published work on the diastereoselective conjugate addition of boron-stabilized allylic nucleophiles. Parent reference: J. Am. Chem. Soc. 2020, 142, 9925-9931. Ot

From playlist Research Spotlights

Video thumbnail

Too Many Triangles - Numberphile

How many triangles are too many? Featuring Henry Segerman from Oklahoma State University. More links & stuff in full description below ↓↓↓ Check Henry's book about 3D printing math: http://amzn.to/2cWhY3R More Henry videos: http://bit.ly/Segerman_Videos Henry's hinged doilies were joint

From playlist Triangles on Numberphile

Video thumbnail

What are four types of polygons

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

Jianwei John Miao - Computational Microscopy: Coherent Diffractive Imaging to Electron Tomography

Recorded 10 October 2022. Jianwei (John) Miao of the University of California, Los Angeles, presents "Computational Microscopy: From Coherent Diffractive Imaging to Atomic Electron Tomography" at IPAM's Diffractive Imaging with Phase Retrieval Workshop. Learn more online at: http://www.ipa

From playlist 2022 Diffractive Imaging with Phase Retrieval - - Computational Microscopy

Video thumbnail

Jessica Sklar - Mathematical Art Inspirations, Instantiations, and Installations - CoM Feb 2022

During 2020, while the world shut down, creativity flourished. Choral groups sang over Zoom, friends attended virtual cocktail hours, and mathematicians and artists spent their lockdown hours knitting, painting, and constructing wonders. In this talk, I’ll show and discuss pieces by QED A

From playlist Celebration of Mind

Video thumbnail

Synthesis Workshop: Synthesis of Acridinium Photoredox Catalysts with Dr. Alex White (Episode 67)

In this Research Spotlight episode, Dr. Alex White takes us through his work on the synthesis of acridinium dyes for photoredox catalysis. This episode has been made possible through a collaboration with Thieme Chemistry (Twitter: @thiemechemistry) and is made in recognition of Prof. Dave

From playlist Research Spotlights

Video thumbnail

2003 AIME II problem 4 (part 1) | Math for fun and glory | Khan Academy

Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-4-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-g

From playlist AIME | Math for fun and glory | Khan Academy

Video thumbnail

Finding the volume and surface area of a pyramid with a rectangular base

👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

From playlist Volume and Surface Area

Video thumbnail

Psych9B. Psychology Fundamentals. Lecture 10

UCI Psych 9B: Psych Fundamentals (Fall 2015) Lec 10. Psych Fundamentals View the complete course: http://ocw.uci.edu/courses/psych_9bpsy_beh_11b_psychology_fundamentals.html Instructor: Mark Steyvers, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info. More cou

From playlist Psych 9B: Psych Fundamentals

Related pages

Ludwig Schläfli | Space-filling polyhedron | Mathematics | Prism (geometry) | Hugo Hadwiger | Cube | Geometry | Schläfli orthoscheme | Hilbert's third problem | Tetrahedron | Hypercube | Simplex