My new idea is a 2d space, more dimensions in plugins, where every tool is a 1d curve that at all times can choose to move any of its pixels while continuing to be a closed loop. They will bend into shapes that push against other tools to feel the pressure on their surface as their response, including the other tools changing shape the same way as the one using it depending on what plugin or statistical learning defines its behaviors. A tool could form itself into a circle with tiny buttons representing up or down for a large binary file, readable in later versions as sparse zooming in to more detail on parts of a tools surface when needed. Tools could be social networks as you grab some tools and touch them to other tools representing the kinds of people you want to find or what has been observed of them, what they've been doing publicly. Its also designed for compatibility with signal processing, feature vectors of data, connection to any system as shapes can hold any instruction.
- Each minor (0.x) version up to at least 0.8 demonstrates a different property of math, and I'll go back and combine them all seamlessly after this research is done. Click "Browse all files" to try the various versions. They all start with you double click their jar file.
- Look in the "design docs" folder on sourceforge for detailed progress and plans.
- Version 0.8 is more like 0.6 except it flows more with mouse movements.
- Version 0.7 is about Max Clique, P vs NP.
- Version 0.6 is about a new kind of Fourier math, or something similar, that works on networks with cycles instead of flat dimensions of signal.
- Version 0.5 is about fourier math.
- Version 0.4 is about high dimensional visualization of level 2 tensors and path finding.
- Version 0.3.1 adds the ability to (internally) measure the number of dimensions defined by any set of vectors which only know their dot-products relative to eachother, and the number of dimensions is a decimal number not usually an integer, like a fractal can have a decimal number of dimensions. This results in the increased use of conditional-probability in which squares turn darker or lighter in combinations depending on which other squares, as you navigate the space of possibilities.
- version 0.2 demonstrates a kind of high dimensional wave user interface without moving, more like reflections when move the mouse.
- Version 0.1 is about how objects spread to eachother and tighten surface tension in a decentralized network.
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