puzzle cube combinations
In class today, we had to find as many combinations as possible for various combinations of cubes ranging from 3 cubes to 6 cubes. Unfortunately, as the number of available cubes grow, the amount of combinations grows exponentially, so it was impossible to draw all 166 varied combinations of a 6 cube model.
There were only 2 combinations of blocks for 3 cubes, roughly 8 for 4 cubes, but I couldn't find them all, and over 60 combinations for 5 cubes.
CONCLUSIONS
1. Why is it so important for a designer to think of multiple solutions to a design problem?
So the engineer can pick the most efficient or the most cost productive from a large array of choices.
2. What steps did you take to determine the exact number of possible combinations for each set of cubes?
A variant of guessing and testing, and for the larger cubes, there was an exponential growth trend, so the best way to calculate the amount of cubes possible was Google.
3. Why is it important to sketch your ideas on paper and sign and date the document?
So all of your ideas and combinations would be your intellectual property, and cannot be disputed in a legal battle.
So the engineer can pick the most efficient or the most cost productive from a large array of choices.
2. What steps did you take to determine the exact number of possible combinations for each set of cubes?
A variant of guessing and testing, and for the larger cubes, there was an exponential growth trend, so the best way to calculate the amount of cubes possible was Google.
3. Why is it important to sketch your ideas on paper and sign and date the document?
So all of your ideas and combinations would be your intellectual property, and cannot be disputed in a legal battle.