Mathematics

Yogurt Shop Sells Frozen Treats Using Verizon Math. Run Toppers. Science & Math. Corner Market From Martin Gardner, via Michael Stueben: Obtain a slab of gold measuring 10″ x 11″ x 1″.

Divide it diagonally and then cut a triangular notch in two corners as shown. Remove these notches as profit, and slide the remaining halves together to produce a new 10″ x 11″ x 1″ slab. The process can be repeated to yield any amount of money you like! No Attraction Kepler’s second law holds that a line segment connecting an orbiting planet to its sun sweeps out equal areas in equal periods of time: In the diagram above, if the time intervals t are equal, then so are the areas A.

If gravity were turned off, would this still be true? Click for solution … Shy Pretend that you’ve never seen this before and that it’s an actual living person whose personality you’re trying to read. “This explains its elusive quality — you literally can’t catch her smile by looking at it. (From her book Vision and Art: The Biology of Seeing, 2002.) Worth Remembering William D. First Things First Unquote Hans Bethe:

Time Well Spent. PatrickJMT. Think or Thwim » Mathematical Porn. Tanya Khovanova?s Math Blog. Probabilities in the Game of Monopoly® Probabilities in the Game of Monopoly® Table of Contents I recently saw an article in Scientific American (the April 1996 issue with additional information in the August 1996 and April 1997 issues) that discussed the probabilities of landing on the various squares in the game of Monopoly®.

They used a simplified model of the game without considering the effects of the Chance and Community Chest cards or of the various ways of being sent to jail. I was intrigued enough with this problem that I started working on trying to find the probabilities for landing on the different squares with all of the rules taken into account. I ran into some interesting problems but finally came up with the right answers, which you will find here along with some other useful derived data. I first wrote a C program that simulates a single person rolling the dice and moving around the board a great number of times. I discovered that it is really necessary to model two different strategies.

Back to my homepage. Folding Paper in Half Twelve Times. Folding Paper in Half 12 Times: The story of an impossible challenge solved at the Historical Society office Alice laughed: "There's no use trying," she said; "one can't believe impossible things.

" "I daresay you haven't had much practice," said the Queen. Through the Looking Glass by L. Carroll The long standing challenge was that a single piece of paper, no matter the size, cannot be folded in half more than 7 or 8 times. The most significant part of Britney's work is actually not the geometric progression of a folding sequence but rather the detailed analysis to find why geometric sequences have practical limits that prevent them from expanding.

Her book provides the size of paper needed to fold paper and gold 16 times using different folding techniques. Britney Gallivan has solved the Paper Folding Problem. In April of 2005 Britney's accomplishment was mentioned on the prime time CBS television show Numb3rs. The task was commonly known to be impossible. A few references: