Sorry for the very vague title but my brother and I had a long chat the other day and we could not come to a conclusion. Our question was, can every object be split into 3 equal parts? Scenario 1: If you split a 60cm ruler into 3 20cm parts you would say that yes the object is in 3 completely equal parts. Scenario 2: Now when you try to split a 100cm ruler into 3 parts it doesn't seem possible, no matter how accurate you measure it, one part will always measure longer than the other 2 parts. Now the question is can every physical property be split into 3 equal parts or is maths misleading us. We imagined changing the scale of the maths involved, i.e. calling the 100cm ruler 60(whatever units), now the ruler is still the same size but maths now tells us that it can be split into 3 equal parts, but how can this be? I know that I am talking ridiculously small distances and accurate measuring beyond imagination, but the picture in my head that all the pieces line up against the (whatever scale) and that one of the pieces is always bigger against the cm scale is really confusing! Its the same piece So what are your opinions, are we missing something simple?