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  • The GUI should start with a random, unsolved cube.
  • There should be three buttons:
    1. Scan my cube: Invokes a webcam-based scanner to input real-world cubes.
    2. Shuffle: Randomly shuffles the displayed cube.
    3. Solve: Invokes the solver and visualizes its progress using a progress bar. Then shows the solution using the existing GUI.
      • For extra credit, it would be nice to visualize important imermediate states of the cube during the solve, to better visualize the solver's progress.
  • When scanning the cube, the GUI should provide interactive feedback about which cubelets are yet unknown and which cubelets have already been successfully scanned.
    • The center cubelets are always known.
    • Scanning should infer all cubelets simulataneously instead of scanning faces one-by-one. (It may be useful to model the color of each cubelet as a probability distribution over all possible colors. A cubelet is then considered "known" once its distribution is sufficiently concentrated on one color, say >= 99%.)
    • In the GUI, perhaps the confidene can be visualized using color intensities. For example:
      • Colors below 50% confidence are considered completely unknown and not rendered.
      • Between 50-100% confidence, the color is rendered, ranging from pale (low confidence) to vivid (high confidence).