Just occurred to me that my idea of refactoring - showing the same set of components (in different arrangements, or better: from different perspectives) as different objects - is probably born from the interactive tesseract visualizations I played with as kid just beginning to explore the internet.
this isn't the exact one but fairly similar: http://www.cut-the-knot.org/Curriculum/Geometry/Tesseract.shtml
and wolfram alpha has a decent one too: http://mathworld.wolfram.com/Tesseract.html
Props to Owen Schoppe for helping me see the value of the idea by showing me the video of garrett lisi at ted.
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