Pages Needing K-12 Explanations

From Math Images

The following image pages are in need of descriptions geared toward students in grades K-12.

	Field	Author	Description
Broken Heart	Fractals	Jos Leys	A broken heart created by a variation on a fractal.
Different Strokes	Fractals	Linda Allison	Different Strokes is generated with Ultra Fractal, a program designed by Frederik Slijkerman. It consists of 10 layers and uses both Julia and Mandelbrot fractal formulas and other formulas for coloring.
Dragons 1	Geometry	Jos Leys	A tessellation created in the style of M.C. Escher. Escher was famous for his lithographs depicting tessellations or endless loops. Tessellations are images that repeat and seamlessly mesh within one another. Each image alternates color, creating a beautiful and potentially endless work of art.
Fractal Bog	Fractals	Jean-Francois Colonna	This image was obtained by means of a self-transformation of a fractal process.
Fractal Scene I	Fractals	Anne M. Burns	"Fractal Scene I" is one of Burns' "Mathscapes" and was created using a variety of mathematical forumluas, including fractal methods to generate the clouds and plant life and vector techniques for the colors.
Fun Topology	Topology	Paul Nylander	The topology is equivilent to a sphere with 30 holes. The boundary of each hole loops over itself twice with two Reidemeister-I twists and links with 6 others.
Hippopede of Proclus	Topology	Adam Coffman	Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis...
Hyperboloid	Calculus	Paul Nylander	A hyperboloid is a quadric, a type of surface in three dimensions.
Indra 432	Other	Jos Leys	A Kleinian group floating on the water.
Inside the Flat (Euclidean) Dodecahedron	Geometry	Paul Nylander	Here is a dodecahedron viewed from the inside with flat mirrored walls.
Kleinian Quasifuchsian Limit Set	Fractals	Paul Nylander	Here is a Sunset Moth “blown about” inside a Quasifuchsian limit set. Originally, Felix Klein described these fractals as “utterly unimaginable”, but today we can visualize these fractals with computers.
Kummer Quartic	Algebra	3DXM Consortium	A Kummer surface is any one of a one parameter family of algebraic surfaces defined by a specific polynomial equation of degree four.
Mateko	Fractals	Dan Kuzmenka	Mateko uses different color palettes than image designer Dan Kuzmenka's usual earth tones. He uses fractals to express a spiral without showing the same shape over again.
Mathscape	Fractals	Anne M. Burns	In Mathscape, Burns combines recursive algorithms for clouds, mountains and various imaginary plant forms into one picture.
N-sphere	Calculus	Unknown	This is a wireframe rendering of a 3 dimensional sphere.
Pretzel Surface	Algebra	3DXM Consortium	The Pretzel surface is an algebraic surface.
Siefert surface I	Algebra	Jos Leys	A Seifert surface, a subset of dynamic systems.
Skull	Fractals	Jos Leys	An abstract skull created by a variation on a fractal colored to achieve the desired image.
Strange plant 1	Fractals	Jos Leys	A fractal that looks organic in origin, much like a fern or other plant. Fractals reiterate infinitely, and real ferns seem to grow in the same sort of iterative pattern.
Tetra 1	Geometry	Jos Leys	How does one fill a sphere with smaller spheres of various sizes so that every possible void is filled? There are only five known configurations, all obtained by a sphere inversion transformation, the 3D equivalent of a circle inversion.
The Regular Hendecachoron	Geometry	Carlo Sequin	This object has 11 vertices (shown as spheres), 55 edges (shown as thin cylindrical beams), and 55 triangular faces (shown as cut-out frames). Different colors indicate triangles belonging to different cells.
Torus Knot	Geometry	3DXM Consortium	In knot theory, a torus knot is a special kind of knot which lies on the surface of an unknotted torus in R3.
Tunnel	Fractals	Jos Leys	A fractal image originating from a Mandelbrot set that Jos Leys created using Ultrafractal.
Z-Squared Necklace	Geometry	Tom Banchoff	Each subject is the graph of a function of a complex variable, first the complex squaring operation and then the cubing function...