March 23rd, 2017, 04:52 PM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 464 Thanks: 29 Math Focus: Number theory  Cube center inverted through sides
A cube can be divided into six equal, regular right pyramids. What outward shape results when their bases form an empty cube, that is, when their apexes are inverted through their bases?

March 23rd, 2017, 07:19 PM  #2 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,304 Thanks: 961 Math Focus: Wibbly wobbly timeywimey stuff. 
Spiky. Somebody check this for me (my Geometry never was good) but I belive that you get a cube. Dan Last edited by topsquark; March 23rd, 2017 at 07:23 PM. 

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