
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 11th, 2018, 09:54 PM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 335 Thanks: 26 Math Focus: Number theory  Edgy cube's faces paths
How many unique paths can one start at each face of a cube and move square by square (only to unused squares of shared edges) until all six faces are included?

April 13th, 2018, 02:48 PM  #2 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 335 Thanks: 26 Math Focus: Number theory  How many ways can an exploded cube's 6 faces connect together along their edges?
How many ways can an exploded cube's 6 faces connect together one by one along their edges? Start with one of (6) six bottom faces. Next, connect it continuously with one of its (4) side faces. Third, having used two already, find (3) three faces of four remaining to the second, momentarily excluding the (1) side face opposite it. There are more potential mappings, the last one dependent on the original choice. Can you find the total number of paths? 

Tags 
cube, cubefaces, edgy, faces, paths 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Faces of a convex set  Int  Real Analysis  2  May 5th, 2016 12:46 PM 
How many red cube can surround a blue cube?(all equal size)  rnck  Art  1  December 5th, 2015 03:49 AM 
math question (cube, cube volume, percent)  yano  Algebra  8  March 25th, 2010 05:40 PM 
math question (cube, cube volume, percent)  yano  Applied Math  4  December 31st, 1969 04:00 PM 