Category Archives: Euler

Euler Diagram

Posted on May 16, 2012 by PlatoHagel

This article is about Eulerian circles of set theory and logic. For the geometric Euler circle, see Nine-point circle. An Euler diagram illustrating that the set of “animals with four legs” is a subset of “animals”, but the set of … Continue reading →

Posted in Euler, John Venn, Venn | Tagged , , | 5 Comments

Coffee and Donut?

Posted on November 19, 2009 by PlatoHagel

A continuous deformation (homeomorphism) of a coffee cup into a doughnut (torus) and back. Similarly, the hairy ball theorem of algebraic topology says that “one cannot comb the hair flat on a hairy ball without creating a cowlick.” *** This … Continue reading →

Posted in Euler, Genus Figures, Topology, Toposense | Tagged , , , | Leave a comment

The Whole World is a Stage

Posted on January 2, 2009 by PlatoHagel

Euler product formula Now you must know what sets my mind to think in such abstract spaces. “Probability of seeing a stage in a concert.“ All The World’s A Stageby William ShakespeareFrom: As you Like It, Act II Scene VII … Continue reading →

Posted in Euler, Riemann Hypothesis, Theory of Everything, TOE | Tagged , , , | Leave a comment

Euler’s Konigsberg’s Bridges Problem

Posted on October 5, 2007 by PlatoHagel

“Liesez Euler, Liesez Euler, c’est notre maître à tous”(“Read Euler, read Euler, he is our master in everything”) – Laplace I should say here that the post by Guest post: Marni D. Sheppeard, “Is Category Theory Useful ?” over at … Continue reading →

Posted in Euler, Pascal, Riemann Hypothesis, Theory of Everything, TOE, Topology | Tagged , , , , , | Leave a comment

Lingua Cosmica

Posted on March 24, 2007 by PlatoHagel

It looks as though primes tend to concentrate in certain curves that swoop away to the northwest and southwest, like the curve marked by the blue arrow. (The numbers on that curve are of the form x(x+1) + 41, the … Continue reading →

Posted in Aliens, Colour of Gravity, Euler, Phase Transitions, Riemann Hypothesis, Symmetry Breaking, Synesthesia | Tagged , , , , , , | Leave a comment

Mersenne Prime: One < the Power of two

Posted on January 7, 2007 by PlatoHagel

It looks as though primes tend to concentrate in certain curves that swoop away to the northwest and southwest, like the curve marked by the blue arrow. (The numbers on that curve are of the form x(x+1) + 41, the … Continue reading →

Posted in Computers, Cosmology, Curvature Parameters, Euclid, Euler, Imagery dimension, Mathematics, Powers of Ten, Ramanujan, Riemann Hypothesis | Tagged , , , , , , , , , | Leave a comment

A New Way of Seeing?

Posted on January 17, 2006 by PlatoHagel

Sorry couldn’t resist. How many before us in our speculations and way of seeing? 🙂 When looking at Gaussian coordinates, the very idea that our views of “length of lines” had to have another way in which to interpret how … Continue reading →

Posted in Brain, Euler, Riemann Hypothesis, Topology | Tagged , , , | 1 Comment

Grue and Bleen

Posted on December 16, 2005 by PlatoHagel

Brian Greene: In the late 1960s a young Italian physicist, named Gabriele Veneziano, was searching for a set of equations that would explain the strong nuclear force, the extremely powerful glue that holds the nucleus of every atom together binding … Continue reading →

Posted in Albrecht Durer, Brian Greene, Euler, Mathematics, Nothing, Susskind, Veneziano | Tagged , , , , , , | Leave a comment

Lagrange points

Posted on October 16, 2005 by PlatoHagel

As always, the pictures serve as links, as well as highlighted paragraphs in blue, and having once visited, purple. Pictures and paragraphs that are highlighted in gold are in conjunction and are direct links to sites, as well as fawcetts, … Continue reading →

Posted in Earth, Euler, Grace, Grace Satellite, Gravity, L5, M Theory, Sun, Three Body Problem | Tagged , , , , , , , , | Leave a comment

Genesis Spacecraft uses Tubes as Freeways

Posted on June 6, 2005 by PlatoHagel

Without someview that would be consistent through out the cosmo, how would such points be of value? Did we not see this variation could exist when you travelled to another location, given higher dimensional comprehenisons? In order for this view … Continue reading →

Posted in Earth, Euler, L5, Moon, Sun | Tagged , , , , | Leave a comment