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'Rolling That Cube' printed from http://nrich.maths.org/

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We have a cube which is a bit like a dice, with inky marks on each face.
When it goes on paper it shows these numbers one by one.
 numerals
The cube just gradually rolls over (NO SLIDING) and prints the following (I've draw squares round each number):
 
paper
Your challenge is to find where the cube starts and what route it travels to print the numbers exactly as shown above.  You may find it useful to print off a copy of the grid on this sheet.
 
Can you also say how each face of the cube looks?