Projective polyhedra

Hemi-dodecahedron

A hemi-dodecahedron is an abstract regular polyhedron, containing half the faces of a regular dodecahedron. It can be realized as a projective polyhedron (a tessellation of the real projective plane by 6 pentagons), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into three equal parts. It has 6 pentagonal faces, 15 edges, and 10 vertices. (Wikipedia).

Hemi-dodecahedron
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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

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Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51

The dodecahedron is surely one of the truly great mathematical objects---revered by the ancient Greeks, Kepler, and many mathematicians since. Its symmetries are particularly rich, and in this video we look at how to see the five-fold and six-fold symmetries of this object via internal str

From playlist Universal Hyperbolic Geometry

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Dodecahedron in Geogebra

Dodecahedron in Geogebra Step by step tutorial on this link: https://youtu.be/FPDOfPhheFk In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

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Dodecahedron in Geogebra [Tutorial]

Dodecahedron in Geogebra [Tutorial] In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

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Inside-Out Logic

A fold-up, slice-and-dice dodecahedron and its complement. With a 3D printer, you can make your own using the files here: http://georgehart.com/rp/T-O-M/t-o-m.html

From playlist Odds and Ends

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2014 Hari Shankar Memorial lecture: "How to make sculptures of 4-dimensional things"

The Hari Shankar Memorial Lecture is an annual public lecture held at the University of Northern Iowa. Slides: https://www.math.okstate.edu/~segerman/talks/how_to_make_sculptures_of_4d_things.pdf

From playlist 3D printing

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Rade Zivaljevic (6/27/17) Bedlewo: Topological methods in discrete geometry; new developments

Some new applications of the configurations space/test map scheme can be found in Chapter 21 of the latest (third) edition of the Handbook of Discrete and Computational Geometry [2]. In this lecture we focus on some of the new developments which, due to the limitations of space, may have b

From playlist Applied Topology in Będlewo 2017

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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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4D MONKEY DUST

Henry Segerman shows us shadows (and dust) from the fourth dimension! More links & stuff in full description below ↓↓↓ Dr Segerman is an assistant professor in the Department of Mathematics at Oklahoma State University. More Numberphile with him: http://bit.ly/Segerman_Videos Polytopes i

From playlist Henry Segerman on Numberphile

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Playing with Platonic and Archimedean Solids by Swati Sircar and Susy Varughese

SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS POPULAR TALKS (TITLE AND ABSTRACT) June 17, Friday, 15:45 - 16:45 hrs Swati Sircar (AzimPremji University, Bengaluru, India) Title: Playing with Platonic and Archimedean Solids Abstract: While the 5 Platonic solids are quite popular

From playlist Summer School for Women in Mathematics and Statistics - 2022

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What is a rectangular prism

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

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Post 1462H / Hemmi 159 and a slide rule conspiracy!

I describe the interesting Post 1462H slide rule and its predecessor/successor. I present the theory that these slide rules inspired a certain model popular in Europe.

From playlist All Slide Rule Videos

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Frankenrule: the Hemmi 258ab slide rule

Witness an unholy combination of slide rules: the Hemmi 259 and the Versalog II.

From playlist All Slide Rule Videos

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Hemmi 260 Layout 1/2

I describe one of my favorite scale sets: the Hemmi 260 scale set.

From playlist All Slide Rule Videos

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The Pop-up Dodecahedron

Instruction to download http://singingbanana.com/popupdodecahedron.pdf More information about the dodecahedron that I would have like to have gone into in this video http://uk.youtube.com/watch?v=-lqpSpje42o Dodecahedron at wikipedia http://en.wikipedia.org/wiki/Dodecahedron Plato

From playlist My Maths Videos

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Pawn Stars: 1966 Dodge Charger with Hemi Engine (Season 14) | History

Rick takes a spin in a rare '66 Dodge Charger with a Hemi engine that might be 1 of 85 produced by NASCAR in this clip from "The Greatest Pawn on Earth!" #PawnStars Subscribe for more from Pawn Stars: http://po.st/SubscribeToPawnStars Watch more Pawn Stars on YouTube in this playlist: htt

From playlist Pawn Stars: Official Series Playlist | New Episodes Wednesdays at 8/7c | History

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Hemmi 260 Layout 2/2: Runners-Up Club

I describe two slide rules with layouts similar to the Hemmi 260: The Graphoplex 690a and the Aristo 970.

From playlist All Slide Rule Videos

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The remarkable Platonic solids I | Universal Hyperbolic Geometry 47 | NJ Wildberger

The Platonic solids have fascinated mankind for thousands of years. These regular solids embody some kind of fundamental symmetry and their analogues in the hyperbolic setting will open up a whole new domain of discourse. Here we give an introduction to these fascinating objects: the tetra

From playlist Universal Hyperbolic Geometry

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Slide Rule Roundup -- 1955* Duplex Engineering Edition

An overview of some popular engineering slide rules available in the mid '50s. Let me know your favorite below, whether or not it was one of these! * Some slide rules in the roundup were made in later production runs than 1955. Also, the Dietzgen N1733 was not available until 1956. The 17

From playlist All Slide Rule Videos

Related pages

Graph theory | Dual graph | Pentagon | Petersen graph | Schlegel diagram | 4-polytope | Projective polyhedron | Tessellation | Alternating group | Complete graph | Real projective plane | Dodecahedron | Euler characteristic | Hemi-octahedron | Hemi-icosahedron | 57-cell | Abstract polytope