# Property:Description

This is a property of type Text.

A

In her Mathscape images, Anne M. Burns combines recursive algorithms for clouds, mountains, and various imaginary plant forms into one picture.
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The image to the right shows the shortest distance from the center to the midpoint of one side in various regular polygons. +

B

The Barnsley Fern was created by Michael Barnsley using an iterated function system. +

The same object, here a circle, can be completely different when viewed in other vector spaces. +

Take a piece of paper. Now try to fold it in half more than 7 times. Is it possible? What is the ultimate number of folds a flat piece of material can achieve? This image shows Britney Gallivan’s success at folding a sheet 12 times. +

A Bezier Curve involves the use of two anchor points and a number of control points to control the form of a curve. +

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. +

A box bounding the Stanford Bunny mesh. +

This is a 9-inch diameter table-top sculpture made of acrylic plastic (plexiglas). ''Bouquet'' has a very light and open feeling and gives very different impressions when viewed from different angles. +

Boy's Surface was discovered in 1901 by German mathematician Werner Boy when he was asked by his advisor, David Hilbert, to prove that an immersion of the projective plane in 3-space was impossible. Today, a large model of Boy's Surface is displayed outside of the Mathematical Research Institute of Oberwolfach in Oberwolfach, Germany. The model was constructed as well as donated by Mercedes-Benz. +

While trying to prove that an immersion (a special representation) of the projective plane did not exist, German mathematician Werner Boy discovered Boy’s Surface in 1901. Boy’s Surface is an immersion of the projective plane in three-dimensional space. This object is a single-sided surface with no edges. +

The bridge of peace in Tbilisi ,Georgia, possesses a glass and steel covering frame which possesses a unique tiling structure, conic sections in its roof. Mapping a complicated pattern onto an uneven surface. +

A broken heart created by a variation on a fractal. +

These are Borromean Rings... +

The Buffon's Needle problem is a mathematical method of approximating the value of pi <math>(\pi = 3.1415...) </math>involving repeatedly dropping needles on a sheet of lined paper and observing how often the needle intersects a line. +

Bump mapping is the process of applying a height map to a lit polygon to give a polygon the perception of depth. +

C

A Cardioid is a pattern defined by the path of a point of the circumference of a circle that rotates around another circle. +

This greedy little worm wants to eat the poor apple. He can only go to the east and to the north in this 8 by 8 grid. Since there is stain on the grid, he cannot pass above the diagonal connecting the worm and the apple. How many ways could he get there? The main image shows only one way of reaching the apple.
:This is a very famous grid problem in combinatorics, which could be solved by Catalan numbers. +