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From Math Images

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<div id="gallery1" class="galleryElement"> <h2>All Images</h2>

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<h3>Dihedral Symmetry of Order 12</h3>
<p><b>Author: </b>3LIAN.COM <b> // Field: </b> Algebra <br> <b>Info: </b> Each snowflake in the main image has the dihedral symmetry of a natual regular hexagon. The group formed by these symmetries is also called the dihedral group of degree 6. Order refers to the number of elements in the group, and degree refers to the number of the sides or the number of rotations. The order is twice the degree.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/17.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/17.jpg" class="thumbnail" />
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<h3>A Julia Set</h3>
<p><b>Author: </b>Anna <b> // Field: </b> Fractals <br> <b>Info: </b> This is a filled Julia Set created with a program described in this page.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Anna1.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Anna1.jpg" class="thumbnail" />
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<h3>Newton's Basin</h3>
<p><b>Author: </b>Ashley T. <b> // Field: </b> Fractals <br> <b>Info: </b> Newton's Basin is a visual representation of Newton's Method, which is a procedure for estimating the root of a function.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/NewtonBasin2.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/NewtonBasin2.jpg" class="thumbnail" />
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<h3>The Party Problem</h3>
<p><b>Author: </b>Awjin Ahn (author) <b> // Field: </b> Graph Theory <br> <b>Info: </b> You're going to throw a party, but haven't yet decided who to invite. How many people do you need to invite to guarantee that at least m people will know each other, or at least n people will not know each other?</p>
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<img src="http://mathforum.org/mathimages/imgUpload/PartyProblemA.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/PartyProblemA.gif" class="thumbnail" />
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<h3>The Golden Ratio</h3>
<p><b>Author: </b>Azhao1 <b> // Field: </b> Algebra <br> <b>Info: </b> </p>
<a href="http://mathforum.org/mathimages/index.php/The Golden Ratio" target="_blank" title="Click for more info about The Golden Ratio" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/180px-Pentagram-phi.svg.png" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/180px-Pentagram-phi.svg.png" class="thumbnail" />
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<h3>Markus-Lyapunov Fractal</h3>
<p><b>Author: </b>BernardH <b> // Field: </b> Dynamic Systems <br> <b>Info: </b> Markus-Lyapunov fractals are representations of the regions of chaos and stability over the space of two population growth rates.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Markus-Lyapunov1.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Markus-Lyapunov1.gif" class="thumbnail" />
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<h3>Seven Bridges of Königsberg</h3>
<p><b>Author: </b>Bogdan Giu?c? <b> // Field: </b> Graph Theory <br> <b>Info: </b> The Seven Bridges of Königsberg is a historical problem that illustrates the foundations of Graph Theory</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Konigsberg bridges.png" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Konigsberg bridges.png" class="thumbnail" />
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<h3>Change of Coordinates</h3>
<p><b>Author: </b>Brendan John <b> // Field: </b> Calculus <br> <b>Info: </b> The same object, here a disk, can look completely different depending on which coordinate system is used.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Coordchange.JPG" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Coordchange.JPG" class="thumbnail" />
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<h3>Fountain Flux</h3>
<p><b>Author: </b>Brendan John <b> // Field: </b> Calculus <br> <b>Info: </b> The water flowing out of a fountain demonstrates an important theorem for vector fields, the Divergence Theorem.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Fountainflux.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Fountainflux.gif" class="thumbnail" />
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<h3>Four Color Theorem</h3>
<p><b>Author: </b>Brendan John <b> // Field: </b> Graph Theory <br> <b>Info: </b> This image shows a four coloring and graph representation of the United States.</p>
<a href="http://mathforum.org/mathimages/index.php/Four Color Theorem" target="_blank" title="Click for more info about Four Color Theorem" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Usagraphfinal2.PNG" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Usagraphfinal2.PNG" class="thumbnail" />
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<h3>Drawing a Straight Line</h3>
<p><b>Author: </b>Cornell University Libraries and the Cornell College of Engineering <b> // Field: </b> Geometry <br> <b>Info: </b> </p>
<a href="http://mathforum.org/mathimages/index.php/Straight Line and its construction" target="_blank" title="Click for more info about Drawing a Straight Line" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/S35-1.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/S35-1.jpg" class="thumbnail" />
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<h3>Mobius Strip</h3>
<p><b>Author: </b>David Benbennick <b> // Field: </b> Topology <br> <b>Info: </b> A Mobius strip, also referred to as a Mobius band, is a bounded surface with only one side and one edge.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Mobius strip.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Mobius strip.jpg" class="thumbnail" />
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<h3>Perko pair knots</h3>
<p><b>Author: </b>Diana Patton <b> // Field: </b> Topology <br> <b>Info: </b> This is a picture of the Perko pair knots. They were first thought to be separate knots, but in 1974 it was proved that they were actually the same knot.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Perko knots.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Perko knots.gif" class="thumbnail" />
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<h3>Vector Field of a Fluid</h3>
<p><b>Author: </b>Direct Imaging <b> // Field: </b> Algebra <br> <b>Info: </b> The vector field shown here represents the velocity of a fluid. Each vector represents the fluid's velocity at the point the arrow begins.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/DI_vecfield.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/DI_vecfield.jpg" class="thumbnail" />
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<h3>Butterfly Curve</h3>
<p><b>Author: </b>Direct Imaging <b> // Field: </b> Algebra <br> <b>Info: </b> The Butterfly Curve is one of many beautiful images generated using parametric equations.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Butterfly1.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Butterfly1.gif" class="thumbnail" />
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<h3>Parabolic Reflector Dish</h3>
<p><b>Author: </b>Energy Information Administration <b> // Field: </b> Geometry <br> <b>Info: </b> Solar Dishes such as the one shown use a parabolic shape to focus the incoming light into a single collector.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Solardish.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Solardish.jpg" class="thumbnail" />
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<h3>The Monty Hall Problem</h3>
<p><b>Author: </b>Grand Illusions <b> // Field: </b> Algebra <br> <b>Info: </b> The Monty Hall problem is a probability puzzle based on the 1960's game show Let's Make a Deal.

When the Monty Hall problem was published in Parade Magazine in 1990, approximately 10,000 readers, including nearly 1,000 with PhDs, wrote to the magazine claiming the published solution was wrong. It remains one of the most disputed mathematical puzzles of all time.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Mainimage.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Mainimage.jpg" class="thumbnail" />
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<h3>Tesseract</h3>
<p><b>Author: </b>Jason Hise <b> // Field: </b> Geometry <br> <b>Info: </b> The animation shows a three dimensional projection of a rotating tesseract, the four dimensional equivalent of a cube.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Tesseract1.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Tesseract1.gif" class="thumbnail" />
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<h3>Hyperbolic Tilings</h3>
<p><b>Author: </b>Jos Leys <b> // Field: </b> Geometry <br> <b>Info: </b> This image is a hyperbolic tiling made from alternating two shapes: heptagons and triangles.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/HyperbolicTiling.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/HyperbolicTiling.jpg" class="thumbnail" />
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<h3>Monkey Saddle</h3>
<p><b>Author: </b>Mathematica <b> // Field: </b> Calculus <br> <b>Info: </b> This image shows a surface known as a monkey saddle.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Monkey-Saddle.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Monkey-Saddle.jpg" class="thumbnail" />
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<h3>Catenary</h3>
<p><b>Author: </b>Mtpaley <b> // Field: </b> Geometry <br> <b>Info: </b> A catenary is the curve created by a theoretical representation of a hanging chain or cable held at both ends.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/SpiderCatenary2.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/SpiderCatenary2.jpg" class="thumbnail" />
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<h3>Transformations</h3>
<p><b>Author: </b>Nordhr <b> // Field: </b> Geometry <br> <b>Info: </b> This picture shows an example of four basic transformations (where the original teapot is a red wire frame). On the top left is a translation, which is essentially the teapot being moved. On the top right is a scaling. The teapot has been squished or stretched in each of the three dimensions. On the bottom left is a rotation. In this case the teapot has been rotated around the x axis and the z axis (veritcal). On the bottom right is a shearing, creating a skewed look.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Tranformations4.png" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Tranformations4.png" class="thumbnail" />
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<h3>Solid of revolution</h3>
<p><b>Author: </b>Nordhr <b> // Field: </b> Calculus <br> <b>Info: </b> This image is a solid of revolution</p>
<a href="http://mathforum.org/mathimages/index.php/Volume of Revolution" target="_blank" title="Click for more info about Solid of revolution" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Revolutionvolume1.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Revolutionvolume1.gif" class="thumbnail" />
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<h3>The Shadow Problem</h3>
<p><b>Author: </b>Orion Pictures <b> // Field: </b> Geometry <br> <b>Info: </b> In the 1991 film Shadows and Fog, the eerie shadow of a larger-than-life figure appears against the wall as the shady figure lurks around the corner. How tall is the ominous character really? Filmmakers use the geometry of shadows and triangles to make this special effect.

The shadow problem is a standard type of problem for teaching trigonometry and the geometry of triangles. In the standard shadow problem, several elements of a triangle will be given. The process by which the rest of the elements are found is referred to as solving a triangle.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Shadows and fog.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Shadows and fog.jpg" class="thumbnail" />
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<h3>Harmonic Warping of Blue Wash</h3>
<p><b>Author: </b>Paul Cockshott <b> // Field: </b> Calculus <br> <b>Info: </b> This image is a tiling based on harmonic warping operations. These operations take a source image and compress it to show the infinite tiling of the source image within a finite space.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Harmonic warp.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Harmonic warp.jpg" class="thumbnail" />
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<h3>Blue Wash</h3>
<p><b>Author: </b>Paul Cockshott <b> // Field: </b> Fractals <br> <b>Info: </b> This image is a random fractal that is created by continually dividing a rectangle into two parts and adjusting the brightness of each resulting part.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/fs_64_100.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/fs_64_100.gif" class="thumbnail" />
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<h3>Apollonian Gasket</h3>
<p><b>Author: </b>Paul Nylander <b> // Field: </b> Geometry <br> <b>Info: </b> This an example of a fractal that can be created by repeatedly solving the Problem of Apollonius.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Apollonian.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Apollonian.jpg" class="thumbnail" />
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<h3>Euclidean Algorithm</h3>
<p><b>Author: </b>Phoebe Jiang <b> // Field: </b> Number Theory <br> <b>Info: </b> This image shows Euclid's method to find the greatest common divisor (gcd) of two integers. The greatest common divisor of two numbers a and b is the largest integer that divides the numbers without a remainder.

Here I use 52 and 36 as an example to show you how Euclid found the gcd, so you have a sense of the Euclidean algorithm in advance. As you have probably noticed already, Euclid uses lines, defined as multiples of a common unit length, to represent numbers. First, use the smaller integer of the two, 36, to divide the bigger one, 52. Use the remainder of this division, 16, to divide 36 and you get the remainder 4. Now divide the last divisor, 16, by 4 and you find that they divide exactly. Therefore, 4 is the greatest common divisor. For every two integers, you will get the gcd by repeating the same process until there is no remainder.

You may have many questions so far: "What is going on here?" "Are you sure that 4 is the gcd of 52 and 36?" Don't worry. We will talk about them precisely later. This brief explanation is just to preheat your enthusiasm for Euclidean Algorithm! It is amazing to see that he explains and proves his algorithm relying on visual graphs, which is different from how we treat number theory now.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/EA1.jpg" class="full" />
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<h3>Henon Attractor</h3>
<p><b>Author: </b>Piecewise Affine Dynamics <b> // Field: </b> Dynamic Systems <br> <b>Info: </b> This image is a Henon Attractor (named after astronomer and mathematician Michel Henon), which is a fractal in the division of the chaotic strange attractor.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/HenonMain.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/HenonMain.jpg" class="thumbnail" />
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<h3>Brouwer Fixed Point Theorem</h3>
<p><b>Author: </b>Rebecca <b> // Field: </b> Topology <br> <b>Info: </b> </p>
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<img src="http://mathforum.org/mathimages/imgUpload/mainpic134.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/mainpic134.jpg" class="thumbnail" />
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<h3>Law of Sines</h3>
<p><b>Author: </b>Richard Scott <b> // Field: </b> Geometry <br> <b>Info: </b> The law of sines is a tool commonly used to help solve arbitrary triangles. It is a formula that relates the sine of a given angle to its opposite side length.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Lawofsines copy.jpg" class="full" />
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<h3>Harter-Heighway Dragon Curve</h3>
<p><b>Author: </b>SolKoll <b> // Field: </b> Dynamic Systems <br> <b>Info: </b> This image is an artistic rendering of the Harter-Heighway Curve (also called the Dragon Curve), which is a fractal. It is often referred to as the Jurassic Park Curve because it garnered popularity after being drawn and alluded to in the novel Jurassic Park by Michael Crichton (1990).</p>
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<img src="http://mathforum.org/mathimages/imgUpload/DragonCurve.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/DragonCurve.jpg" class="thumbnail" />
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<h3>Blue Fern</h3>
<p><b>Author: </b>Sven Geier <b> // Field: </b> Algebra <br> <b>Info: </b> The Blue Fern is a fractal, similar to Barnsley's Fern fractal, that was created by Michael Barnsley using an iterated function system.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/BlueFern.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/BlueFern.jpg" class="thumbnail" />
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<h3>Tiling of the Alhambra</h3>
<p><b>Author: </b>Tessellations.org <b> // Field: </b> Geometry <br> <b>Info: </b> </p>
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<img src="http://mathforum.org/mathimages/imgUpload/Alhamb.png" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Alhamb.png" class="thumbnail" />
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<h3>4-Dimensional Torus</h3>
<p><b>Author: </b>Thomas F. Banchoff <b> // Field: </b> Algebra <br> <b>Info: </b> A torus in four dimensions projected into three-dimensional space.</p>
<a href="http://mathforum.org/mathimages/index.php/Projection of a Torus" target="_blank" title="Click for more info about 4-Dimensional Torus" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/4dtorus.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/4dtorus.jpg" class="thumbnail" />
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<h3>Standing Waves</h3>
<p><b>Author: </b>Tyler Sammann <b> // Field: </b> Dynamic Systems <br> <b>Info: </b> This image depicts a steel string acoustic guitar fret board. This is an instrument which uses standing waves in the strings to produce sounds.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/guitarblue.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/guitarblue.jpg" class="thumbnail" />
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<h3>Cross-cap and Cross-capped Disk</h3>
<p><b>Author: </b>Unknown <b> // Field: </b> Topology <br> <b>Info: </b> The cross-capped disk is one 3 dimensional model of the Real Projective Plane. The cross-capped disk is a 2 dimensional surface that is non-orientable and has only one side. The Real Projective Plane is best represented using 4 spacial dimensions, rather than 3.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/CrossCapTwoViews.PNG" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/CrossCapTwoViews.PNG" class="thumbnail" />
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<h3>Sierpinski's triangle</h3>
<p><b>Author: </b>Unknown <b> // Field: </b> Geometry <br> <b>Info: </b> Sierpinski's triangle is a simple fractal created by repeatedly removing smaller triangles from the original shape.</p>
<a href="http://mathforum.org/mathimages/index.php/Sierpinski's Triangle" target="_blank" title="Click for more info about Sierpinski's triangle" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Sierpinski clear.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Sierpinski clear.gif" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Fibonacci numbers in a sea shell</h3>
<p><b>Author: </b>Unknown <b> // Field: </b> Algebra <br> <b>Info: </b> The spiral curve of the Nautilus sea shell follows the pattern of a spiral drawn in a Fibonacci rectangle, a collection of squares with sides that have the length of Fibonacci numbers.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/NAUTILUS.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/NAUTILUS.jpg" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Parabola</h3>
<p><b>Author: </b>Unkown <b> // Field: </b> Geometry <br> <b>Info: </b> A parabola is a u-shaped curve that arises not only in the field of mathematics, but also in many other fields such as physics and engineering.</p>
<a href="http://mathforum.org/mathimages/index.php/Parabola" target="_blank" title="Click for more info about Parabola" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Fountain.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Fountain.jpg" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Creating a regular hexagon with a ruler and compass</h3>
<p><b>Author: </b>Wikipedia <b> // Field: </b> Geometry <br> <b>Info: </b> This image shows the step by step construction of a hexagon inscribed in the circle using a compass and a unmarked straightedge.</p>
<a href="http://mathforum.org/mathimages/index.php/Compass & Straightedge Construction and the Impossible Constructions" target="_blank" title="Click for more info about Creating a regular hexagon with a ruler and compass" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/HexagonConstructionAni.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/HexagonConstructionAni.gif" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Buffon's Needle</h3>
<p><b>Author: </b>Wolfram MathWorld <b> // Field: </b> Geometry <br> <b>Info: </b> </p>
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<img src="http://mathforum.org/mathimages/imgUpload/BuffonNeedle 700.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/BuffonNeedle 700.gif" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Roulette</h3>
<p><b>Author: </b>Wolfram MathWorld <b> // Field: </b> Geometry <br> <b>Info: </b> Four different roulettes formed by rolling four different shapes and tracing a fixed point on each of these shapes.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Roulette.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Roulette.jpg" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Sinusoidal waves</h3>
<p><b>Author: </b>Xah Lee <b> // Field: </b> Algebra <br> <b>Info: </b> </p>
<a href="http://mathforum.org/mathimages/index.php/Waves" target="_blank" title="Click for more info about Sinusoidal waves" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Sinusoid implicit flame.png" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Sinusoid implicit flame.png" class="thumbnail" />
</div>

<div class="imageElement">
<h3>A polar rose (Rhodonea Curve)</h3>
<p><b>Author: </b>chanj <b> // Field: </b> Algebra <br> <b>Info: </b> </p>
<a href="http://mathforum.org/mathimages/index.php/Polar Equations" target="_blank" title="Click for more info about A polar rose (Rhodonea Curve)" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Rose2.gif" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Rose2.gif" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Arbelos</h3>
<p><b>Author: </b>csosborne <b> // Field: </b> Geometry <br> <b>Info: </b> This modern knife in the shape of an arbelos is used to make shoes.</p>
<a href="http://mathforum.org/mathimages/index.php/Arbelos" target="_blank" title="Click for more info about Arbelos" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/shoemakers Knife.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/shoemakers Knife.jpg" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Ulam Spiral</h3>
<p><b>Author: </b>en.wikipedia <b> // Field: </b> Number Theory <br> <b>Info: </b> </p>
<a href="http://mathforum.org/mathimages/index.php/Prime spiral (Ulam spiral)" target="_blank" title="Click for more info about Ulam Spiral" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Ulam_spiral.png" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Ulam_spiral.png" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Law of Cosines</h3>
<p><b>Author: </b>rscott3 <b> // Field: </b> Geometry <br> <b>Info: </b> The law of cosines is a trigonometric generalization of the Pythagorean Theorem.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Law_of_cosines_pictiure.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Law_of_cosines_pictiure.jpg" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Blue-aerial-shell</h3>
<p><b>Author: </b>skylighter.com <b> // Field: </b> Geometry <br> <b>Info: </b> This is a beautiful blue-aerial-shell firework filling the sky. Each particle of the firework follows a parabolic trajectory, and together they sweep a parabolic area.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Blue-aerial-shell.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Blue-aerial-shell.jpg" class="thumbnail" />
</div> </div>

<div id="gallery1" class="galleryElement"> <h2>Fractals</h2>

<div id="gallery1" class="galleryElement"> <h2>Calculus</h2>

<div class="imageElement">
<h3>Metaballs</h3>
<p><b>Author: </b> <b> // Field: </b> Calculus <br> <b>Info: </b> Metaballs are a visualization of a level set of an n-dimensional function</p>
<a href="http://mathforum.org/mathimages/index.php/Metaballs" target="_blank" title="Click for more info about Metaballs" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Metaball.0008.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Metaball.0008.jpg" class="thumbnail" />
</div>

<div id="gallery1" class="galleryElement"> <h2>Geometry</h2>

<div class="imageElement">
<h3>Snell's Law</h3>
<p><b>Author: </b> <b> // Field: </b> Geometry <br> <b>Info: </b> This is a picture of a spoon in a glass of water that seems to be bent. Snell's Law is a mathematical formula that predicts the amount of bend seen in the image.</p>
<a href="http://mathforum.org/mathimages/index.php/Snell's Law" target="_blank" title="Click for more info about Snell's Law" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Refraction-of-light36.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Refraction-of-light36.jpg" class="thumbnail" />
</div>

<div id="gallery1" class="galleryElement"> <h2>Other</h2>

<div class="imageElement">
<h3>Image Convolution</h3>
<p><b>Author: </b> <b> // Field: </b> Other <br> <b>Info: </b> Image Convolution is the process of applying a filter to images. Clockwise from top left, this images shows an original image, a Gaussian Blur filter, a Poster Edges filter, and a Sharpen filter. The filters were applied in Photoshop.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/ImageConvolution.jpg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/ImageConvolution.jpg" class="thumbnail" />
</div>

<div class="imageElement">
<h3>Quipu</h3>
<p><b>Author: </b> <b> // Field: </b> Other <br> <b>Info: </b> This is a picture of a quipu (or khipu), a record-keeping tool used by the Incas.</p>
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<img src="http://mathforum.org/mathimages/imgUpload/Quipu3.jpeg" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Quipu3.jpeg" class="thumbnail" />
</div> </div>

<div id="gallery1" class="galleryElement"> <h2>Algebra</h2>

<div class="imageElement">
<h3>Bump Mapping</h3>
<p><b>Author: </b> <b> // Field: </b> Algebra <br> <b>Info: </b> Bump mapping is the process of applying a height map to a lit polygon to give a polygon the perception of depth.</p>
<a href="http://mathforum.org/mathimages/index.php/Bump Mapping" target="_blank" title="Click for more info about Bump Mapping" class="open"></a>
<img src="http://mathforum.org/mathimages/imgUpload/Bump-map-demo-bumpy.png" class="full" />
<img src="http://mathforum.org/mathimages/imgUpload/Bump-map-demo-bumpy.png" class="thumbnail" />
</div>

<div id="gallery1" class="galleryElement"> <h2>Number Theory</h2>

<div id="gallery1" class="galleryElement"> <h2>Topology</h2>

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