What would be your estimate of the combined volume of these boxes, in cubic metres, to the nearest 0.1? There are nineteen in total (including the flat one that you can see perched on top), of various sizes, pushed together fairly closely, though not tightly. The chair is included in the photo to give an idea of the scale.
A deceptively simple puzzle. Fill in the grid.
Maths knowledge required: Very basic – calculating means.
The solution will be available next week.
The giant crab that I have chosen to illustrate this post is not relevant to the puzzle, but bonus points go to anyone who knows why I have picked it and can provide an appropriate response… Continue reading
It turns out that my intuition was correct (the tiling is possible if and only if r is a rational number lying in the half open interval (0,1]), but the proof is not obvious. The maths involved seems to be rather lovely though, so Stephen’s comments are well worth a look.
Following my piece on tennis and probability, here is another tennis article. There is not really much maths in this one, just carefully researched irrelevance (though there may be a more mathsy follow-up at some point). Oh, and I am not really claiming that any of these players are the worst. See the disclaimer!