Triangles | Topology

Penrose triangle

The Penrose triangle, also known as the Penrose tribar, the impossible tribar, or the impossible triangle, is a triangular impossible object, an optical illusion consisting of an object which can be depicted in a perspective drawing, but cannot exist as a solid object. It was first created by the Swedish artist Oscar Reutersvärd in 1934. Independently from Reutersvärd, the triangle was devised and popularized in the 1950s by psychiatrist Lionel Penrose and his son, prominent Nobel Prize-winning mathematician Sir Roger Penrose, who described it as "impossibility in its purest form". It is featured prominently in the works of artist M. C. Escher, whose earlier depictions of impossible objects partly inspired it. (Wikipedia).

Penrose triangle
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Impossible triangles

Exploring some ways to create the illusion of an impossible triangle. Impossible triangle (helix): http://shpws.me/TggA https://www.printables.com/model/292131-impossible-triangle-helix tato_713's "Penrose triangle like figure" https://www.printables.com/model/157441-penrose-triangle-li

From playlist 3D printing

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Label the parts of a triangle ex 1

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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How do you find all of the sides for a equilateral triangle

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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Using the Isosceles triangle theorem to find the measure of x

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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Finding the measure for each side of an isosceles triangle

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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Given an isosceles triangle, find the measure of all of the side lengths

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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Determine the measure of each side of a isosceles triangle

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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Eschermatics - Roger Penrose

Oxford Mathematics Public Lectures : Roger Penrose - Eschermatics Roger Penrose's relationship with the artist M.C. Escher was not just one of mutual admiration. Roger's thinking was consistently influenced by Escher, from the famous Penrose tiling to his groundbreaking work in cosmology.

From playlist The Roger Penrose Playlist

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Robert Fathauer - Tessellations: Mathematics, Art, and Recreation - CoM Apr 2021

A tessellation, also known as a tiling, is a collection of shapes (tiles) that fit together without gaps or overlaps. Tessellations are a topic of mathematics research as well as having many practical applications, the most obvious being the tiling of floors and other surfaces. There are n

From playlist Celebration of Mind 2021

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Roger Penrose on Mathematics, Physics, and the World (Part 1) | Closer To Truth Chats

Closer To Truth has just launched a new website! We can't wait for you to see what we've been working on. New seasons (including the web debut of Season 21), interviews, topic guides, curated playlists, candid conversations, book excerpts, essays, and announcements. Visit today: www.Closer

From playlist Closer To Truth Chats

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Why Did The Mathematician Cross The Road? - with Roger Penrose

Sir Roger Penrose is one of the biggest names in mathematics AND physics. Here he talks about sibling rivalry, Stephen Hawking, having ideas, and toilet paper. Roger Penrose Wikipedia - https://en.wikipedia.org/wiki/Roger_Penrose Roger Penrose books - Amazon - https://amzn.to/2XIpNBo Th

From playlist The Numberphile Podcast

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Find the missing measure of angles for an isosceles triangle

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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How to determine all of the measure of angles for an equilateral triangle

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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How to See Black Holes + Kugelblitz Challenge Answer

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE Find out how scientists are mapping the black holes throughout the Milky Way and beyond as well as the answer to the Escape the Kugelblitz Challenge Question. Were you

From playlist Space Time Challenge Videos! (And Answers!)

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Lecture 4 | Topics in String Theory

(January 31, 2011) Leonard Susskind gives a lecture on string theory and particle physics that focuses on the geometry of a black hole near the horizon. He describes how standard concepts from quantum physics can explain the physics that occur at this point. In the last of course of this

From playlist Lecture Collection | Topics in String Theory (Winter 2011)

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The Illumination Problem - Numberphile

Featuring Professor Howard Masur from the University of Chicago. Filmed at the Mathematical Sciences Research Institute (MSRI). Part 2 of this interview: https://youtu.be/AGX0cLbHaog Patreon: http://www.patreon.com/numberphile Numberphile is supported by the Mathematical Sciences Researc

From playlist Animations by Pete McPartlan

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Determine the missing angles using complementary and triangle angle sum

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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Julian Barbour on Time, the Universe, and Reality | Closer To Truth Chats

Julian Barbour, physicist, talks the illusion of time, the origin of the universe, and what is reality. He also discusses his newest book, "The Janus Point: A New Theory of Time," which makes the radical argument that the growth of order drives the passage of time -- and shapes the destiny

From playlist Closer To Truth Chats

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Waterfall (M. C. Escher) | 3-manifold | Triangle | Euclidean space | Three hares | Möbius strip