Home Puzzles geometry – Can you eat a four-dimensional Rubik’s Cube?

geometry – Can you eat a four-dimensional Rubik’s Cube?

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geometry – Can you eat a four-dimensional Rubik’s Cube?

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If you observe the conventional Rubik’s dice consuming conventions,

  • Start by consuming any piece besides the central one
  • Next, eat a bit orthogonally adjoining to the beforehand eaten piece
  • (repeat)
  • The final piece to get eaten on this means should be the centre piece

are you able to eat all of the 81 items of a 3x3x3x3 Rubik’s Hypercube?

To make the duty a minimum of just a little simpler to visualise, this is an animated schematic displaying what may occur to the stickers (which are literally 3d cubes glued to all of the outwards-facing sides of the four-dimensional cubelets) should you begin by consuming a nook piece:

Animation of stickers getting eaten

Original picture (public area) from Wikimedia Commons.

(Due to the inadequacies of our low-dimensional universe, solely 7 sides have their stickers proven within the image: the eighth facet is adjoining (on the “outdoors”) to all the opposite sides besides the blue one, so it could look fairly bizarre.)

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