My Math Forum Edgy cube's faces paths
 User Name Remember Me? Password

 Probability and Statistics Basic Probability and Statistics Math Forum

 April 11th, 2018, 09:54 PM #1 Senior Member   Joined: May 2015 From: Arlington, VA Posts: 435 Thanks: 28 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: 435 Thanks: 28 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 Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Int Real Analysis 2 May 5th, 2016 12:46 PM rnck Art 1 December 5th, 2015 03:49 AM yano Algebra 8 March 25th, 2010 05:40 PM yano Applied Math 4 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top