Search: in
Apollonian gasket
Apollonian gasket in Encyclopedia Encyclopedia
  Tutorials     Encyclopedia     Videos     Books     Software     DVDs  
       
Encyclopedia results for Apollonian gasket

Apollonian gasket





Encyclopedia results for Apollonian gasket

  1. Apollonian gasket

    Wikibooks Fractals Apollonian fractals In mathematics , an Apollonian gasket or Apollonian net is a fractal ... An example of an Apollonian gasket An Apollonian gasket can be constructed as follows. Start with three ... gasket. The Apollonian gasket has a Hausdorff dimension of about 1.3057 http abel.math.harvard.edu ... spheres.jpg thumb left Apollonian sphere packing An Apollonian gasket can also be constructed ... s. The three dimensional equivalent of the Apollonian gasket is the Apollonian sphere packing . Symmetries ... a radius that is two thirds of this, then the Apollonian gasket has two lines of reflective symmetry ... the Apollonian gasket also has rotational symmetry of degree 2 the symmetry group of this gasket is D ..., so the Apollonian gasket also has rotational symmetry of degree 3 the symmetry group of this gasket ... are congruent. In a sense, there is therefore only one Apollonian gasket, which can be thought of as a tessellation of the hyperbolic plane by circles and hyperbolic triangles. The Apollonian gasket ... circles in an Apollonian gasket all have integer curvature then all circles in the gasket will have ... Apollonian gasket up to a scaling factor to possess D sub 2 sub symmetry. D sub 3 sub symmetry There are no integer ... is an Apollonian gasket that appears to have D sub 3 sub symmetry. The same figure is displayed ... 0, there exists an Apollonian gasket defined by the following curvatures br n ,  n     ... from finite subsets of the Apollonian gasket Notes references References Benoit B. Mandelbrot The Fractal ... title Apollonian Gasket Alexander Bogomolny, http www.cut the knot.org Curriculum Geometry ApollonianGasket.shtml Apollonian Gasket , cut the knot http closet.zao.se emilk circles.html An interactive Apollonian gasket running on pure HTML5 the link is dead en http www.mathworks.com matlabcentral ... Apollonian Gasket by Michael Screiber, The Wolfram Demonstrations Project . http code.google.com p fract iag Interactive Apollonian Gasket Demonstration of an Apollonian gasket running on Java ...   more details



  1. Gasket

    br 4. cylinder head head gasket gasket A gasket is a Seal mechanical mechanical seal which fills the space ... sheet materials, such as gasket paper , rubber , silicone , metal , Cork material cork , felt , neoprene ... exposure, non asbestos gasket materials are used when practical. It is usually desirable that the gasket ... an application of sealant directly to the gasket surface to function properly. Some piping gaskets ... . This is typical of some ring joints RJ or some other metal gasket systems such as those made by Graylock ... type joints. image PTFEseet.JPG thumb sright 250px Polytetrafluoroethylene PTFE gasket Properties image Compressed fiber jointing.JPG thumb sright 250px Compressed fiber gasket One of the more desirable properties of an effective gasket in industrial applications for compression physical compressed fiber gasket material is the ability to withstand high compressive loads. Most industrial gasket applications ... inch psi range or higher. Generally speaking, there are several truism s that allow for best gasket performance. One of the more tried and tested is The more compressive load exerted on the gasket, the longer it will last . There are several ways to measure a gasket material s ability to withstand ... manufacturers of gasket materials will provide or publish the results of these tests. Gasket design ... parameters Sheet gaskets The premise is simple in that a sheet of material has the gasket shape Punch metalworking punched out of it. This leads to a very crude, fast and cheap gasket. In previous ... and filler material. Generally, the gasket has a metal normally carbon rich or stainless steel wound ... stress gaskets The constant seating stress gasket consists of two components a solid carrier ring ... are tightened, the flange deflects radially under load, resulting in the greatest gasket compression, and highest gasket stress, at the outer gasket edge. Since the carrier ring used in constant seating ... size, pressure class, and material, the carrier ring profile can be adjusted to enable the gasket ...   more details



  1. Gasket (disambiguation)

    A gasket is a mechanical seal that fills the space between two mating surfaces. Gasket may also refer to Flange gasket , a type of gasket made to fit between two sections of pipe Head gasket , a gasket used in internal combustion engines Gasket sailing , a rope used to hold a stowed sail in place Apollonian gasket , a fractal generated from triples of circles Sierpinski gasket , a fractal generated from triangles disambig ...   more details



  1. Apollonian network

    also Apollonian gasket , a fractal structure formed by tangent circles with the connectivity pattern ...File Apollonian network.svg thumb 240px An Apollonian network File Goldner Harary graph.svg thumb The Goldner Harary graph , a non Hamiltonian Apollonian network In combinatorics combinatorial mathematics , an Apollonian network is an undirected graph formed by a process of recursively subdividing a triangle into three smaller triangles. Apollonian networks may equivalently be defined as the planar ... of Perga , who studied a related circle packing construction. Definition An Apollonian network may ... , are both Apollonian networks. math K sub 3 sub is formed by starting with a triangle and not performing .... The Goldner Harary graph is an Apollonian network that forms the smallest Hamiltonian cycle ... 357. ref Another more complicated Apollonian network was used by harvtxt Nishizeki 1980 to provide ... Apollonian networks are examples of maximal element maximal planar graph s, graphs to which ... that forms an Apollonian network is an elimination ordering as a chordal graph. This forms an alternative characterization of the Apollonian networks they are exactly the chordal maximal planar graphs ... . ref In an Apollonian network, every maximal clique is a complete graph on four vertices, formed by choosing ... tree math k tree , and Apollonian networks are examples of 3 trees. Not every 3 tree is planar, but the planar 3 trees are exactly the Apollonian networks. Every Apollonian network is also a uniquely ..., but also true, that every uniquely 4 colorable planar graph is an Apollonian network. Therefore, Apollonian networks may also be characterized as the uniquely 4 colorable planar graphs. Apollonian ... k 4 . ref For the characterization of Apollonian networks via unique 4 colorability, see harvtxt Fowler 1998 . The fact that Apollonian networks also minimize the number of colorings with larger numbers of colors was shown in a dual form for colorings of maps by harvtxt Birkhoff 1930 . ref The Apollonian ...   more details



  1. Head gasket

    head gasket. Image Head gasket on block.jpg thumb 250px A replacement head gasket sitting loosely on top ... gasket is a gasket that sits between the engine block and cylinder head in an internal combustion ... of non asbestos cylinder head gaskets has now become established. page 23 ref Elastomeric a gasket type ... by rolled steel fire rings in a more conventional manner. The idea behind the gasket design was to produce ... of the gasket on the smaller versions of the K Series was very successful. However, an engine redesign resulted in persistent problems with the design the joint interface became unstable and the gasket could not cope. The cost of a replacement gasket is usually not extreme, but the price of total ... the engine, then requiring even more expensive work. Gasket problems The usual internal combustion ... vital, but must never be allowed to intermix. Apart from sealing the cylinder, the head gasket ... sign of head gasket wear. Occasionally, the compression in the cylinder will cause a leak to form in the gasket and the gasket will have to be replaced, or severe damage can take place a blown head gasket . This problem has been exacerbated by the use of aluminum rather than iron cylinder heads ... a great deal more stress to be placed on the head gasket. Engine makers have responded to this by adding a non stick coating such as Teflon to the surface of the head gasket. If the gasket fails, a variety .... Sometimes, all that may happen when a head gasket is blown is excessive steam erupting from the tailpipe ... overheats. In other occurrences, compression leaks into small spaces between the gasket and either the cylinder ... creating still more voids between the gasket and the engine. Air pockets can also cause the engine ... has available to stay cool. Image Damaged head gasket.jpg thumb 250px A damaged head gasket can allow gases to leak between cylinders. The condition of a head gasket is typically investigated by checking ... gasket problems. A good sign of head gasket failure on water cooled engines is the presence of a substance ...   more details



  1. Apollonian and Dionysian

    The Apollonian and Dionysian is a philosophical and literary concept , or dichotomy , based on certain ... the use of the concepts of the Apollonian and Dionysian is famously related to Nietzsche s The Birth ... of Dionysian and Apollonian Kunsttrieben artistic impulses forms dramatic arts, or tragedies ... and reason robs tragedy of its foundation, namely the fragile balance of the Dionysian and Apollonian ... the Apollonian and Dionysian juxtapositions is apparent, Nietzsche claimed in The Birth of Tragedy ... to make order in the Apollonian sense of his unjust and chaotic Dionysian Fate, though he dies unfulfilled ... in Apollonian ideals, which in turn separate him from his essential connection with self. The Dionysian ... connected with the Apollonian. The Dionysian magnifies man, but only so far as he ... experience is of utmost importance in viewing the Dionysian as it is related to the Apollonian ... American humanities scholar Camille Paglia writes about the Apollonian and Dionysian in her controversial ... significantly. The Apollonian and Dionysian concepts comprise a dichotomy that serves as the basis of Paglia s theory of art and culture. For Paglia, the Apollonian is light and structured while the Dionysian ..., and unconstrained sex procreation. In contrast, the Apollonian is associated with males, clarity ..., 1990, p. 40 ref She argues that there is a biological basis to the Apollonian Dionysian dichotomy ..., and turning instead to the Apollonian trait of ordered creation. The Dionysian is a force of chaos ... of &ndash or combat with &ndash Chthonianism by socially constructed Apollonian virtues accounts ... Apollo program Apollo . As this anecdote shows, the Apollonian tendency would also seem to include ... According to Peter Sloterdijk , the Dionysian and the Apollonian form a dialectic they are contrasting ... being is determined by the Dionysian Apollonian dialectic. Extending the use of the Apollonian and Dionysian .... Stephen King s usage American novelist Stephen King uses Apollonian and Dionysian analysis in Danse ...   more details



  1. Gasket (sailing)

    unreferenced date August 2009 Image SlipperyHitchOnRoyalYard.jpg thumb right 200px A gasket holding the main royal on a modern square rigged training ship. In sailing , gaskets are lengths of rope or fabric used to hold a stowed sail in place. In modern use, the term is usually restricted to Square rig square rigged ships, the equivalent items on yachts being referred to by the more prosaic sail ties . On most ships, gaskets are made of rope . They are attached to the top of the yardarm yard and, left loose, would hang behind the sail. Gaskets should never be left dangling, however, so when the sail is set they are brought around underneath the yard and up the back of it and then tied to the jackstay metal rod where they originated. Alternatively, longer gaskets particularly the clew gaskets described below can be secured using a gasket coil . When the sail is to be stowed it is first folded and bagged neatly within itself, pulled onto the top of the yard, and then the gaskets are brought round over it and secured to the jackstay to hold it in place. Gaskets should be tied with a slippery hitch to enable them to be let off quickly, though if the yard is large there may only be enough rope to form a clove hitch when the gasket is brought round it. Most ships are equipped with clew gaskets at the outer ends of the yards. These do not pass around the sail, but through a shackle or ring on the blocks of the sheet sailing Square rig sheet . Pulled tight and secured to the jackstay or the yard s lift, this takes the load off the Clewlines and buntlines clewline and sail, and should allow the blocks to be lifted higher, dragging the sail down less and enabling a neater stow. Other related articles Sail Types Category Sailing rigs and rigging fr Garcette scn Mataciuni ...   more details



  1. Apollonian circles

    Image Apollonian circles.svg thumb right 350px Some Apollonian circles. Every blue circle intersects every red circle at a right angle. Every red circle passes through the two points, C and D , and every blue circle separates the two points. This article discusses a family of circles sharing a radical axis , and the corresponding family of orthogonal circles. For other circles associated with Apollonius of Perga , please see the disambiguation page, circles of Apollonius . Apollonian circles are two families of circle s such that every circle in the first family intersects every circle in the second family orthogonal ly, and vice versa. These circles form the basis for bipolar coordinates . They were discovered by Apollonius of Perga , a renowned Ancient Greece Greek geometer . Definition The Apollonian circles are defined in two different ways by a line segment denoted CD . Each circle in the first family the blue circles in the figure is associated with a positive real number r , and is defined as the locus of points X such that the ratio of distances from X to C and to D equals r , math left X mid frac d X,C d X,D r right . math For values of r close to zero, the corresponding circle is close to C , while for values of r close to , the corresponding circle is close to D for the intermediate value r     1, the circle degenerates to a line, the perpendicular bisector of CD ... k pi right math Pencils of circles Both of the families of Apollonian circles are called pencils ... parabolic pencil. It is relatively easy to show using inversion that, in the Apollonian circles ... of the blue Apollonian circles with respect to a circle centered on point C results in a pencil of concentric ... coordinates bipolar coordinate system defined by the Apollonian circles into a polar coordinates ..., so the original Apollonian circles also meet at right angles. Alternatively, ref harvtxt Akopyan ... pencil is hyperbolic, and vice versa in this case the two pencils form a set of Apollonian circles ...   more details



  1. Apollonian sphere packing

    Image Apollonian spheres.jpg thumb right Apollonian sphere packing Apollonian sphere packing is the three dimensional equivalent of the Apollonian gasket . The principle of construction is very similar with any four spheres that are cotangent to each other, it is then possible to construct two more spheres that are cotangent to four of them. The fractal dimension is 2.473946. ref Citation first M. last Borkovec first2 W. last2 De Paris first3 R. last3 Peikert author link publication date date year 1994 title The Fractal Dimension of the Apollonian Sphere Packing periodical Fractals series publication place place publisher volume 2 issue 4 pages 521 526 url http graphics.ethz.ch peikert papers apollonian.pdf issn doi 10.1142 S0218348X94000739 oclc accessdate 2008 09 15 ref Software for generating and visualization of the apollonian sphere packing ApolFrac. ref http thomasbonner.heliohost.org apolfrac.htm ApolFrac ref References references Category Hyperbolic geometry Category Fractals geometry stub it Impacchettamento di sfere apolloniano ...   more details



  1. Tangent circles

    In geometry , tangent circles also known as kissing circles are circles in a common plane that intersect in a single point. There are two types of tangent tangency internal and external. Many problems and constructions in geometry are related to tangent circles such problems often have real life applications such as trilateration and maximizing the use of materials. Two given circles Steiner chains main Steiner chain Pappus chains main Pappus chain Three given circles Apollonius problem main Problem of Apollonius Apollonius problem is to construct circles that are tangent to three given circles. Apollonian gasket main Apollonian gasket If a circle is iteratively inscribed into the interstital curved triangles between three mutually tangent circles, an Apollonian gasket results, one of the earliest fractals described in print. Malfatti s problem main Malfatti circles Malfatti s problem is to carve three cylinders from a triangular block of marble, using as much of the marble as possible. In 1803, Gian Francesco Malfatti conjectured that the solution would be obtained by inscribing three mutually tangent circles into the triangle a problem that had previously been considered by Japanese mathematician Ajima Naonobu these circles are now known as the Malfatti circles , although the conjecture has been proven to be false. Six circles theorem main Six circles theorem A chain of six circles can be drawn such that each circle is tangent to two sides of a given triangle and also to the preceding circle in the chain. The chain closes the sixth circle is always tangent to the first circle. Seven circles theorem main Seven circles theorem A chain of six tangent circles is given, each of which is tangent to a seventh given circle. The tangent points of the chain circles with the seventh circle are connected pairwise between opposite circles in the chain, i.e., between circles 1 and 4, 2 and 5 and 3 and 6. These lies are concurrent, i.e., they intersect in the same point. General ...   more details



  1. Index of fractal-related articles

    This is a list of fractal topics , by Wikipedia page, See also list of dynamical systems and differential equations topics . 1 f noise Apollonian gasket Attractor Box counting dimension Cantor distribution Cantor dust Cantor function Cantor set Cantor space Chaos theory Coastline Constructal theory Dimension Dimension theory Dragon curve Fatou set Fractal antenna Fractal art Fractal compression Fractal flame Fractal landscape Fractal transform Fractint Graftal Gravity set Iterated function system Horseshoe map How Long Is the Coast of Britain? Statistical Self Similarity and Fractional Dimension Julia set Koch snowflake L system Lebesgue covering dimension L vy C curve L vy flight List of fractals by Hausdorff dimension Lorenz attractor Lyapunov fractal Mandelbrot set Menger sponge Minkowski Bouligand dimension Multifractal analysis Olbers paradox Perlin noise Power law Rectifiable curve Scale free network Self similarity Sierpinski carpet Sierpi ski curve Sierpinski triangle Space filling curve T Square fractal Topological dimension Category Mathematics related lists Fractals Category Fractals ...   more details



  1. Indra's Pearls (book)

    Image Apollonian gasket.svg thumb right 200px The Apollonian gasket, which appears in Chapter 7. Chapter ... limit sets generated when pairs of generating circles touch. Chapter 7. The glowing gasket the Schottky group whose limit set is the Apollonian gasket links to the modular group . Chapter ...   more details



  1. Coxeter's loxodromic sequence of tangent circles

    Image Coxeter circles.png thumb right 350px Blue circle 0 is tangent to circles 1, 2 and 3, as well as to preceding circles &minus 1, &minus 2 and &minus 3. In geometry , Coxeter s loxodromic sequence of tangent circles is an infinite sequence of circles arranged such that any four consecutive circles in the sequence are pairwise mutually tangent. This means that each circle in the sequence is tangent to the three circles that precede it and also to the three circles that follow it. The radii of the circles in the sequence form a geometric progression with ratio math k varphi sqrt varphi approx 2.89005 , math where is the golden ratio . k and its reciprocal satisfy the equation math 1 x x 2 x 3 2 2 1 x 2 x 4 x 6 , math and so any four consecutive circles in the sequence meet the conditions of Descartes theorem . The centres of the circles in the sequence lie on a logarithmic spiral . Viewed from the centre of the spiral, the angle between the centres of successive circles is math cos 1 left frac 1 varphi right approx 128.173 circ . math The construction is named after geometer H.S.M. Coxeter Donald Coxeter , who generalised the two dimensional case to sequences of spheres and hypersphere s in higher dimensions. See also Apollonian gasket External links MathWorld urlname CoxetersLoxodromicSequenceofTangentCircles title Coxeter s Loxodromic Sequence of Tangent Circles http www.math.ca Events winter98 w98 abs node6.html H. S. M. Coxeter The Descartes circle theorem and Fibonacci numbers Category Euclidean plane geometry ...   more details



  1. List of mathematical shapes

    Merge to List of geometric shapes discuss Talk List of geometric shapes Merge proposal date August 2010 Following is a list of some mathematics mathematically well defined shape s. See also list of geometric shapes , list of polygons, polyhedra and polytopes , and list of curves . 0D with no surface Point geometry point 1D with 0D surface interval mathematics interval Line geometry line 2D with 1D surface B zier curve As     Bt sup n sup 0    s     1 0    t     1 s t 1, A sup n sup , A sup n   &minus   1 sup B , ..., B sup n sup are vectors circle x sup 2 sup y sup 2 sup r sup 2 sup ellipse parabola hyperbola Plane mathematics plane polygon chiliagon decagon enneagon googolgon hectagon heptagon hendecagon hexagon myriagon octagon pentagon quadrilateral triangle 3D with 1D surface helix x sin z y cos z 3D with 2D surface B zier triangle As Bt Cu sup n sup 0 s 1 0 t 1 0 u 1 s t u 1, A sup p sup B sup q sup C sup r sup vectors if p q r n and p , q , r are nonnegative integers cylinder geometry cylinder hyperplane m bius strip platonic solid dodecahedron hexahedron cube icosahedron octahedron tetrahedron torus doughnut quadric cone geometry cone cylinder geometry cylinder ellipsoid spheroid sphere hyperboloid paraboloid sphere 4D with 3D surface polychoron hecatonicosachoron hexacosichoron hexadecachoron icositetrachoron pentachoron simplex tesseract spherical cone 5D with 4D surfaces regular 5 polytopes 5 dimensional simplex 5 dimensional cross polytope 5 dimensional hypercube 5 measure polytope Fractal s Apollonian gasket Cantor set Dragon curve Koch snowflake L vy C curve Lyapunov fractal Mandelbrot set Sierpinski carpet Peano curve Sierpinski triangle See also List of mathematical topics Periodic table of shapes The Periodic table of mathematical shapes Category Mathematics related lists Shapes ...   more details



  1. Rcon

    Rcon may refer to A computer Remote administration remote control administration tool In Rijndael key schedule is the exponentiation of 2 to a user specified value R Con, in a Gasket seal, a type of joint disamb ...   more details



  1. Ford circle

    of the circles in the Apollonian gasket generated by the lines y 0 and y 1 and the circle C 0 1 . Total ...   more details



  1. List of circle topics

    This list of circle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely in physical space. It does not include metaphors like inner circle or circular reasoning in which the word does not refer literally to the geometric shape. Geometry and other areas of mathematics Image Ford circles.svg 350px right thumb Ford circle s. Annulus mathematics Talk Annulus mathematics Apollonian circles Talk Apollonian circles Apollonian gasket Talk Apollonian gasket Arbelos Talk Arbelos Archimedean circle Talk Archimedean circle Archimedes circles Talk Archimedes circles Archimedes quadruplets Talk Archimedes quadruplets Area of a disk Talk Area of a disk Bankoff circle Talk Bankoff circle Thomas Baxter mathematician Talk Thomas Baxter mathematician Belt problem Talk Belt problem Bertrand s paradox probability Talk Bertrand s paradox probability Bicentric quadrilateral Talk Bicentric quadrilateral Bipolar coordinates Talk Bipolar coordinates Bonnesen s inequality Talk Bonnesen s inequality Borromean rings Talk Borromean rings Brahmagupta s formula Talk Brahmagupta s formula Brocard circle Talk Brocard circle Buffon s needle Talk Buffon s needle Butterfly theorem Talk Butterfly theorem Carnot s theorem Talk Carnot s theorem Casey s theorem Talk Casey s theorem Centered trochoid Talk Centered trochoid Circle Talk circle Central angle Talk Central angle Circle bundle Talk Circle bundle Circle graph Talk Circle graph Circle group Talk Circle group Group of rational points on the unit circle Talk Group of rational points on the unit circle Circle map Talk Circle map Circle packing Talk Circle packing Circle packing in a circle Talk Circle packing in a circle Circle packing in an equilateral triangle Talk Circle packing in an equilateral triangle Circle packing in an isosceles right triangle Talk Circle packing in an isosceles right triangle Circle packing theorem Talk Circle packing theorem Circles of Apollonius ...   more details



  1. Descartes' theorem

    circle s Apollonian gasket Soddy s hexlet Tangent lines to circles Notes reflist External links http closet.zao.se emilk circles.html An interactive Apollonian gasket using Descartes theorem running ... visualizes Descartes theorem, in hack Apollonian . http arxiv.org abs math 0101066 Jeffrey C. Lagarias ...   more details



  1. X-Ring

    In mechanics O ring Other seals X ring , type of mechanical gasket similar to O ring In other fields St. Francis Xavier University X Ring X ring , ring awarded to students of St. Francis Xavier University disambig ...   more details



  1. Apollonius of Perga

    of the Lost Book of Apollonius Conics . By Michael N. Fried ISBN 1461401453 . See also Apollonian circles Apollonian gasket Apollonian network Circles of Apollonius Descartes theorem Problem of Apollonius ... are the ordinates. The Apollonian relationship between these abscissas and the corresponding ... & Sons, Inc. year 1991 isbn 0471543977 chapter Apollonius of Perga page 142 quote The Apollonian ... century, Fran ois Vi te Vieta presented this problem sometimes known as the Apollonian Problem ...   more details



  1. Rocker cover

    Refimprove date November 2008 Image Shelby Mustang GT350 engine.jpg right thumb 250 px A Shelby Mustang Windsor V8 engine with Cobra Powered by Ford labeled rocker valve cover lower left Rocker covers , in relation to the internal combustion engine , are covers that are bolted on over rocker arm s. They are called valve covers in the United States and Canada. ref cite book title Gaskets and Gasketed Joints first John H. last Bickford publisher CRC Press year 1998 isbn 0824798775 ref and rocker boxes in the UK. In early engines, these covers did not exist. As the rocker arms are critical to having the intake and exhaust valves operate, it was necessary to keep them constantly oiled. With these early engines, the rocker arms would have to be frequently oiled as the oil was constantly being thrown off or contaminated with dirt from the outside environment. The rocker cover was invented to keep the oil in and the dirt out. This part is now found on virtually every existing internal combustion engine today. Rocker cover gasket A gasket rocker cover gasket , or valve cover gasket in the US and Canada helps seal the joint between the rocker cover and the rest of the engine. Failure of this gasket can cause oil to leak from the engine. References reflist Category Engine technology Category Engine components de Ventildeckel ja ...   more details



  1. Circle packing

    math 0407145v2 doi 10.1007 s00454 005 1172 4 issue 2 ref clear See also Circle packing in a square Apollonian gasket Kepler conjecture Malfatti circles Packing problem Bibliography cite book author Wells ...   more details



  1. Sierpinski triangle

    the knot.org triangle Tremas.shtml Sierpinski Gasket by Trema Removal ref Image Sierpinski triangle ... eventually form the Sierpinski Gasket with a few leftover points. It is interesting to do ... triangle. ref http www.kcrw.com etc programs bw bw081127david foster wallace ref See also Apollonian gasket Chaos game List of fractals by Hausdorff dimension Pascal s triangle Rule 90 Sierpinski carpet ... 12, 2004. http www.cut the knot.org Curriculum Geometry Tremas.shtml Sierpinski Gasket by Trema Removal at cut the knot http www.cut the knot.org triangle Hanoi.shtml Sierpinski Gasket and Tower of Hanoi ...   more details



  1. Slippery hitch

    Unreferenced date December 2009 Knot details name Slippery hitch image SlipperyHitchOnRoyalYard.jpg names type hitch strength origin related clove hitch releasing uses To attach a line to a rod or bar. caveat abok number A slippery hitch is a knot used to attach a line to a rod or bar. It does not provide great strength compared to some other knots, but it can be tied relatively quickly and released very easily. These characteristics mean that it is used on square rigged ships for securing the gasket sailing gasket s that bind stowed sails to the yardarm yards . The slippery hitch is effectively a clove hitch finished with a slipped loop . To tie one, begin as for a clove hitch, but instead of passing the end of the line through the loop in the final step, pass a Bight knot bight instead, leaving the end on the original side. Pulling on this end will release the hitch. If tied in a gasket, this will quickly release the sail. Image SlipperyHitch.jpg thumb left 200px A slippery hitch a clove hitch with a loop in the end. See also List of knots DEFAULTSORT Slippery Hitch ...   more details



  1. Pierrot (poem)

    Pierrot is a short poem written by the African American author Langston Hughes . It was first published in the anthology The Weary Blues in 1926. In 30 lines, it describes contrasts the characters of Simple John, who adheres to an ethic of hard work and traditional virtues, and Pierrot , who leads a Apollonian and Dionysian Dionysian and carefree life. In the end, Pierrot runs away with John s wife. References The Collected Poems of Langston Hughes . ed. Arnold Rampersad. New York Alfred A. Knopf. 1997. Category 1926 poems Category American poems poem stub ...   more details




Articles 1 - 25 of 630          Next


Search   in  
Search for Apollonian gasket in Tutorials
Search for Apollonian gasket in Encyclopedia
Search for Apollonian gasket in Videos
Search for Apollonian gasket in Books
Search for Apollonian gasket in Software
Search for Apollonian gasket in DVDs
Search for Apollonian gasket in Store


Advertisement




Apollonian gasket in Encyclopedia
Apollonian gasket top Apollonian gasket

Home - Add TutorGig to Your Site - Disclaimer

©2011-2013 TutorGig.com. All Rights Reserved. Privacy Statement