IBM Research

PUZZLE   IBM-194

25 intersecting Cubes

IBM Research · Ponder This · 2014-06

IBM Ponder This #194 · June 2014

Design 25 cubes so that each cube's six faces display integer numbers in the range 0,1,...,31 such that:

  1. On each cube, all the numbers are different
  2. Any given two cubes share exactly one common number

Please give your answer as 25 lines of six numbers.

Bonus question: Use as small a range of numbers as possible.

Solution

Best opened after a real attempt

To be added.