Here is a six rod, with a mat pattern beneath.
Each line of the pattern can only have rods of the same colour. Only ‘same-coloured’ rods that fit the 6 are allowed this time and for this reason:
These same- coloured rods are FACTORS of 6… (2 and 3 are factors of 6)
6 is called the PRODUCT
The towers to the right say ‘three twos’ and ‘two threes’. They are ‘crossed rods’ and we read them as multiplications. They are equivalent to the line of red rods and the line of green rods to the left.
They are DUST
They are FACTOR TOWERS in their simplest form
They show the ATOMS of 6, if you like…
The INNER STRUCTURE of 6
6 can be re-constructed from this DUST in EVERY (multiplicative) WAY
The TOWER OF DUST shows the INNER STRUCTURE of the NUMBER 6
(in the multiplicative domain)