background preloader


A generalization of the cube to dimensions greater than three is called a "hypercube", "n-cube" or "measure polytope".[1] The tesseract is the four-dimensional hypercube, or 4-cube. According to the Oxford English Dictionary, the word tesseract was coined and first used in 1888 by Charles Howard Hinton in his book A New Era of Thought, from the Greek τέσσερεις ακτίνες ("four rays"), referring to the four lines from each vertex to other vertices.[2] In this publication, as well as some of Hinton's later work, the word was occasionally spelled "tessaract." Some people[citation needed] have called the same figure a tetracube, and also simply a hypercube (although a tetracube can also mean a polycube made of four cubes, and the term hypercube is also used with dimensions greater than 4). Geometry[edit] Since each vertex of a tesseract is adjacent to four edges, the vertex figure of the tesseract is a regular tetrahedron. A tesseract is bounded by eight hyperplanes (xi = ±1). See also[edit]

Related:  TesseractsGlosarioWikipedia 2

Tesseract in A Wrinkle in Time What the heck is a tesseract? We'll let Charles Wallace explain: "Well, the fifth dimension's a tesseract. You add that to the other four dimensions and you can travel through space without having to go the long way around. Balkanization The Balkans from 1796 to 2008 Balkanization, or Balkanisation, is a pejorative geopolitical term, originally used to describe the process of fragmentation or division of a region or state into smaller regions or states that are often hostile or non-cooperative with one another.[1][2] Nations and societies[edit] The term refers to the division of the Balkan peninsula, formerly ruled almost entirely by the Ottoman Empire, into a number of smaller states between 1817 and 1912.[3] It was coined in the early 19th century and has a strong negative connotation.[4] The term however came into common use in the immediate aftermath of the First World War, with reference to the numerous new states that arose from the collapse of the Austro-Hungarian Empire and the Russian Empire.

Magic Squares Quickie Introduction A curious arrangement of numbers includes what is referred to as a “magic square”. The magic derives from the fact that numbers arranged in a square of equal sides all add to the same total, coming and going, up and down, and oft times even from an angle (diagonal). For example: Note that the total always adds to 15 (row, column or diagonal), the diagonals no longer necessarily add properly if either the row and/or columns are mixed, and the total of any three rows or columns is 45. This is a magic square of rank 3. There is Such a Thing as a Tesseract: A Wrinkle in Time Some misunderstood teenagers need to find their own way in life. Some are fortunate enough to do this while traveling through space and time. A Wrinkle in Time, probably Madeleine L’Engle’s most famous novel, and certainly one of her most profound and imaginative, begins on a dark and stormy night, as Meg Murry, an overdramatic teenager with Major Issues, is sitting and sulking in her room. (We’ve all been there.) Terrified by the storm outside, she heads downstairs for a snack, to encounter her strange little brother, Charles Wallace, her worried mother, and a tramp.

2+2=5 Humor in der Mathematik The History of 2 + 2 = 5 by Houston Euler "First and above all he was a logician. At least thirty-five years of the half-century or so of his existence had been devoted exclusively to proving that two and two always equal four, except in unusual cases, where they equal three or five, as the case may be." -- Jacques Futrelle, "The Problem of Cell 13"

A Wrinkle in Time: Chapter 5: The Tesseract Summary In response to her questioning, Mrs. Which informs Meg that her father is trapped behind the darkness. Mrs. Whatsit assures her that they are traveling to help him. Altruism Giving alms to the poor is often considered an altruistic action. Altruism or selflessness is the principle or practice of concern for the welfare of others. It is a traditional virtue in many cultures and a core aspect of various religious traditions and secular worldviews, though the concept of "others" toward whom concern should be directed can vary among cultures and religions. Altruism or selflessness is the opposite of selfishness. Altruism can be distinguished from feelings of loyalty. Pure altruism consists of sacrificing something for someone other than the self (e.g. sacrificing time, energy or possessions) with no expectation of any compensation or benefits, either direct, or indirect (e.g., receiving recognition for the act of giving).

Inside the Making of the Spectacular Tesseract in 'Inters By Bill Desowitz | Thompson on Hollywood December 10, 2014 at 2:06PM SPOILER ALERT: Christopher Nolan certainly likes puzzles and the most ingenious one in 'Interstellar' appears inside the black hole. This is where Matthew McConaughey's Cooper encounters the Tesseract: an artificial construct that allows him to perceive time as a physical dimension. The design and execution was a total collaboration between Nolan, theoretical physicist and exec producer Kip Thorne, the art department led by production designer Nathan Crowley, and VFX studio Double Negative led by co-owner/supervisor Paul Franklin. "We looked at works from Gerhard Richter, who has this technique of scraping the paint across the canvas and leaving these trails, so there's this sense of a historical record," Franklin explains.

A Wrinkle in Time: Resources for Teachers Suggest Resources Are you a teacher? Do you know of a great, free resource that you’d like to see here?