 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073053708/78546/tower.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (9.0K)</a>]]>
| I. The Tower Puzzle is based on the "Tower of Brahma" legend that predicted the world would vanish after 64 disks are transferred from tower to tower according to certain rules. You are challenged to transfer 15 disks, but you may wish to generalize your solution to 64 disks to solve the time required to transfer the discs in the ancient legend.
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| II. Imagine a coordinate system that has a hidden polygon and all you are given are the slopes of its sides. How many points will it take you to determine the location of the polygon? This is a challenge you may enjoy.
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| III. Some of the most exciting breakthroughs in learning about ancient cultures have involved deciphering numbers. Here's a chance to play archeologist as you experiment with the symbols of ancient numeration systems to decipher their meaning.
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| IV. Star Polygons are a fun way to connect art and math. Not only do they provide decorative and artistic patterns, but also they illustrate the concepts of factor, multiple, greatest common divisor, and least common multiple.
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| V. See how many cards you can win in this game which involves both chance and strategy. Your understanding of fractions and knowledge of the deck of cards will help improve your strategy.
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| VI. Play against a friend or against the computer, but to win at this game you must be able to create the larger decimal from given random digits.
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| VII. As a tile moves randomly across a grid, you are challenged to predict the square at the opposite edge of a grid upon which the tile will most likely land. It is interesting that such random movements when applied to many tiles produce dependable patterns.
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| VIII. You may remember the TV game show where the contestant chooses 1 of 3 doors to try for a prize. The host then opens one of the remaining doors with junk behind it and asks if the contestant wishes to stick with the original choice or switch. Try to discover the winning strategy.
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| IX. Slicing through a cube made of clay or other material to determine the shapes of possible cross sections of a cube is time consuming and inconvenient. Now you can experiment on a cube that can be sliced and rotated on the screen to observe cross sections of a cube.
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| X. The ancient Greeks discovered many interesting relationships between volumes of 3-dimensional figures. This interactive allows you to experiment by pumping water from one figure to another to discover relationships. If you try predicting before experimenting, you may be surprised.
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| XI. If you have ever formed an Escher-type tessellation by tracing figures on paper or at a window, you will be amazed at the power of this interactive applet. You will be pleasantly surprised at how quickly figures and tessellations can be created.
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