Cheese Cube Unlimited V1.0

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Hildegard Lobach

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Aug 3, 2024, 4:13:00 PM8/3/24

to mantnarmateng

The mathematics part is understood. Like in Linear programming / linear algebra, we can add fit volume of all smaller cubes to find out the best fit for the volume of the larger cube.The actual requirement is to show or allow this fitting graphically on a web-page, preferably in 3d. If possible, to allow user to interact with the fitting, i.e. shuffling the placement of the cubes, etc.

NB: Weight is also a concern (parameter). There is a maximum weight which can be stacked in any given storage unit.Also, since storage units can be accessed without permission (by thieves), cost of the cubes stacked in one unit is also limited. The user may desire to fit cubes of higher cost in one unit which has higher security and vice versa.

Example: allow fitting many rectangular boxes containing household electronics in a given room. The boxes maybe of TVs, refrigerators, washing machines, dishwashers, playstations, xbox 360s, etc. The different dimensions of these boxes, is to give you an idea of what to expect while fitting to the limited volume.

Disclaimer: Okay, I know it does not 100% answer your question and also the code it veeery old (as can be concluded from the old-fashioned CVS comments) and today I would not write it that way anymore. It does still run on Java 8, though, I tested it. But in addition to solving the little informatics challenge problem of water flowing through a 3D matrix of cuboids from top to bottom depending how "leaky" the matrix (symbolising some kind of Swiss cheese) is, it also uses some very simple 3D visualisation via Java 3D. Thus, you need to install Java 3D and put the corresponding libraries onto your classpath.

You will probably want to use Javascript, and specifically WebGL. Javascript is the de facto language for interactive web pages, and WebGL is a Javascript API for rendering 2D and 3D scenes on an HTML5 canvas element. A solution using WebGL should be compatible with all major browsers. Programming even simple scenes in WebGL can be pretty involved though, so I'd recommend using a framework such as three.js to simplify things.