an article by Richard Bennett appeared in the June 1976 edition (075) of Mathematics Teaching, published by the ATM

he called them 'number plaits' rather than braids

the 'triangle totals' must be in smallest to largest order going from left to right

a variety of 'triangle totals' are (usually) possible

why is there no variety of 'triangle totals' for the 1 to 6 case?

and of course you could carry on...

6 totals occur due to the braids...

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