 | FroZenLightJava utility for math education |
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FroZenLight Description
FroZenLight is a Java-based tool that can interrelate line arts, mathematics and cryptography. FroZenLight is an instrument that can be used for math education. Circular shaped mirrors that are arranged in a grid like manner reflect a light ray according to the reflection law of geometric optics. While random positions of the light source produce chaotic reflection patterns it is possible to position the light source so that symmetric reflection patterns are created. The simple reflection model of this application is very chaotic: The uncertainty of the height of the initial ray height increases quickly with every further reflection calculation. Therefore arbitrary precision mathematics is needed to completely determine the reflection patterns. Main features: A lot of light patterns are already available . A GUI for creating and editing light patterns. An arbitrary precision calculator. Exercises are available tsupport the usage of this application in math education. Take a look at the sample solution. A Scanner that makes images showing for example the reflection counts. A character map that defines a mapping between text characters tsimple reflection shapes (light characters) which can be used tencrypt text as the whole reflection pattern very sensibly depends on the radius of the circles. The image shows a cite from Newtons Principia Mathematica: Every body preserves in its state of rest or of uniform motion in a straight line, except in sfar as it is compelled tchange that state by impressed forces. Animation which rotates the circles at different predefined speeds. Detailed documentation.
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