Menger slicing

Geometry Level 3

How good are your visualization skills?

The above shape is called a menger sponge.

It's been sliced through the center by a plane perpendicular to the long diagonal.

What type of shape is left on the cross section?

  • Since this is a tier two menger sponge \((M_2)\) there will be two different sizes of the same shape.
  • Do not consider the big hexagon on the outside, the one you get from slicing a regular cube. Just consider what shape is on the inside of the hexagon.

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