X-Nico

4 unusual facts about geometry


A Young Man Being Introduced to the Seven Liberal Arts

Presided over by Prudentia, the circle also includes Rhetoric, Logic, Arithmetic, Geometry, Astronomy and Music, each recognizable by means of various attributes.

Education in Póvoa de Varzim

Thus the Municipal Institute with key skills in Portuguese, French, Latin, Geometry, History, and Complementary Primary Instruction was created.

Gallery Hotel

Metallic surfaces reflect the geometric roofs of former warehouses that occupied the area.

Preston Scott Cohen

Geometry is returned to its independent status after having served primarily the needs of technology during the industrialization of the West.


Andrei Bely

Nikolai Bugaev was well known for his influential philosophical essays, in which he decried geometry and probability and trumpeted the virtues of hard analysis.

ASME Y14.41-2003

Both standards focus on the presentation of Geometric dimensioning and tolerancing (GD&T) together with the geometry of the product.

Audi A4

However, this new range A4 still utilised the existing Volkswagen B6 (PL46) platform, a chassis derived from the outgoing B6, but enjoyed heavily revised steering settings, suspension geometry, new internal combustion engine ranges, navigation systems and chassis electronics (including a new advanced Bosch ESP 8.0 Electronic Stability Programme (ESP) system).

BRL-CAD

In keeping with the Unix philosophy of developing independent tools to perform single, specific tasks and then linking the tools together in a package, BRL-CAD is basically a collection of libraries, tools, and utilities that work together to create, raytrace, and interrogate geometry and manipulate files and data.

Carus Mathematical Monographs

# Algebra and Tiling: Homomorphisms in the Service of Geometry, by Sherman Stein and Sándor Szabó

Computer stereo vision

Scientific applications for digital stereo vision include the extraction of information from aerial surveys, for calculation of contour maps or even geometry extraction for 3D building mapping, or calculation of 3D heliographical information such as obtained by the NASA STEREO project.

Convex geometry

Although the first known contributions to convex geometry date back to antiquity and can be traced in the works of Euclid and Archimedes, it became an independent branch of mathematics at the turn of the 19th century, mainly due to the works of Hermann Brunn and Hermann Minkowski in dimensions two and three.

Cube 2: Hypercube

It is unknown if the Cube was actually built through the cubic honeycombs using the Schläfli symbol.

Drummond geometry

Drummond geometry is a trading method consisting of a series of technical analysis tools invented by the Canadian trader Charles Drummond starting in the 1970s and continuing to the present (2010).

Epicycloid

In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called an epicycle — which rolls without slipping around a fixed circle.

Erlangen program

Heinrich Guggenheimer (1977) Differential Geometry, Dover, NY, ISBN 0-486-63433-7.

Finitary

In the words of David Hilbert (referring to geometry), "it does not matter if we call the things chairs, tables and beer mugs or points, lines and planes."

Forest Ray Moulton

The crater Moulton on the Moon, the Adams-Moulton methods for solving differential equations and the Moulton plane in geometry are named after him.

Gaussian isoperimetric inequality

In mathematics, the Gaussian isoperimetric inequality, proved by Boris Tsirelson and Vladimir Sudakov and independently by Christer Borell, states that among all sets of given Gaussian measure in the n-dimensional Euclidean space, half-spaces have the minimal Gaussian boundary measure.

Giovanni Girolamo Saccheri

Martin Gardner, Non-Euclidean Geometry, Chapter 14 of The Colossal Book of Mathematics, W. W.Norton & Company, 2001, ISBN 0-393-02023-1

GvpA

Both the conical end caps and central cylinder are made up of 4-5 nm wide ribs that run at right angles to the long axis of the structure.

International School of Beaverton

The school offers various standard courses in the areas of English (aka. Writing, or Literature), Math (such as Algebra I, Geometry, Algebra II, Calculus, Trigonometry, et cetera), Science, (such as Biology or Chemistry), Social or Global Studies (with areas such as World History, US History, and Humanities), Physical Education and Health, as well as electives such as "Band", "Art", or "Choir".

Italian Neoclassical and 19th-century art

It places emphasis on symmetry, proportion, geometry and the regularity of parts as they are demonstrated in the architecture of Classical antiquity and in particular, the architecture of Ancient Rome, of which many examples remained.

Jali

A jali or jaali, (Gujarati: જાળી) is the term for a perforated stone or latticed screen, usually with an ornamental pattern constructed through the use of calligraphy and geometry.

Jessica Fridrich

Fascinated by puzzles and complex geometry, Fridrich even has Rubik's Cube inventor Ernő Rubik's signature in her notebook.

Joachim Cuntz

Joachim Cuntz is known for his contributions regarding the theory of operator and in the field of the non-commutative geometry, with particular contributions to the structure of simple C*-algebras, the K-theory and cyclic homology.

Knaster–Kuratowski fan

In topology, a branch of mathematics, the KnasterKuratowski fan (also known as Cantor's leaky tent or Cantor's teepee depending on the presence or absence of the apex) is a connected topological space with the property that the removal of a single point makes it totally disconnected.

Lester Dubins

Besides probability, some of these were on curves of minimal length under constraints on curvature and initial and final tangents (see Dubins path), Tarski's circle squaring problem, convex analysis, and geometry.

Mirror image

In geometry, the mirror image of an object or two-dimensional figure is the virtual image formed by reflection in a plane mirror; it is of the same size as the original object, yet different, unless the object or figure has reflection symmetry (also known as a P-symmetry).

Organic field-effect transistor

The most commonly used device geometry is bottom gate with top drain and source electrodes, because this geometry is similar to the thin-film silicon transistor (TFT) using thermally grown gate dielectric.

Peter Thullen

He obtained a subsequent research fellowship with Professor Francesco Severi in Rome to explore how algebraic geometry could be integrated into the theory of functions of several complex variables.

Quadrivium

Morris Kline classifies the four elements of the quadrivium as pure (arithmetic), stationary (geometry), moving (astronomy) and applied (music) number.

Ralph Button

On the outbreak of the First English Civil War in 1642, Button, who sympathised with the parliamentarians, moved to London, and on 15 November 1643 was elected Professor of Geometry at Gresham College, in the place of John Greaves.

Realize Bradenton

"Harry Potter" book series illustrator Mary GrandPré produced an iconic soft-geometry style poster for the event, the proceeds of which went to support local children's music programs.

Reciprocation

Reciprocation in geometry, an operation with circles that involves transforming each point in plane into its polar line and each line in the plane into its pole

Séminaire de Géométrie Algébrique du Bois Marie

In the 1990s it became obvious that the lack of availability of the SGA was becoming more and more of a problem to researchers and graduate students in algebraic geometry: not only are the copies in book form too few for the growing number of researchers, but they are also difficult to read because of the way they are typeset (on an electric typewriter, with mathematical formulae written by hand).

Simplicial manifold

This notion of simplicial manifold is important in Regge calculus and Causal dynamical triangulations as a way to discretize spacetime by triangulating it.

Stellar parallax

It is clear from Euclid's geometry that the effect would be undetectable if the stars were far enough away, but for various reasons such gigantic distances involved seemed entirely implausible: it was one of Tycho Brahe's principal objections to Copernican heliocentrism that in order for it to be compatible with the lack of observable stellar parallax, there would have to be an enormous and unlikely void between the orbit of Saturn and the eighth sphere (the fixed stars).

Structure

Chemical structure refers to both molecular geometry and electronic structure.

Tadao Oda

Oda wrote "Algebraic Geometry, Sendai, 1985" with Hisasi Morikawa, a former professor at Nagoya University.

The Prince's School of Traditional Arts

It was the brainchild of Dr. Keith Critchlow, the Professor Emeritus at the School, who is also the author of several books on Sacred Geometry.

Tin Mine Falls

If we additionally assume that the image plane is perpendicular to the ground plane (an imaginary plane Tangential to the surface of the Earth), and that the waterfall flows on a plane that is parallel to the image plane, we can estimate the height by measuring the vertical separation of waterfall head and base in

Tomasz Mrowka

The first paper in 1995 deals with Donaldson's polynomial invariants and introduced Kronheimer–Mrowka basic class, which have been used to prove a variety of results about the topology and geometry of 4-manifolds, and partly motivated Witten's introduction of the Seiberg–Witten invariants.

Tummyrub

In 1990 Tummyrub was one of the first to produce and compose music with Fractal geometry software, known as Fractal Music which are Algorithmic compositions.

Uncertainty Parameter U

This uncertainty is related to several parameters used in the orbit determination process including the number of observations (measurements), the time spanned by those observations (data arc), the quality of the observations (e.g. radar vs optical), and the geometry of the observations.

Uniform 2 k1 polytope

In geometry, 2k1 polytope is a uniform polytope in n dimensions (n = k+4) constructed from the Coxeter group.

Variable Geometry Acoustical Dome

“Variable geometry acoustical domes” is a design concept developed by David Serero in 2004, at the Villa Medici in Rome.

Vladimir Varićak

In 1910, following a 1909 publication of Sommerfeld, he applied hyperbolic geometry to the special theory of relativity.

Well known

Well-known text, text markup language for representing vector geometry objects

William Messing

In his thesis, Messing elaborated on Grothendieck's 1970 lecture at the International Congress of Mathematicians in Nice on p-divisible groups (Barsotti–Tate groups) that are important in algebraic geometry in prime characteristic, which were introduced in the 1950s by Dieudonné in his study of Lie algebras over fields of finite characteristic.

Wythoff construction

In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.


see also