How to get decorating your Christmas tree "just right"!

Treegonometry creates perfect Christmas tree

Festive maths students from the University of Sheffield have created formulas for the perfectly decorated Christmas tree.




Members of the University’s Maths society, called SUMS, have put an end to bare branches, by calculating the amount of baubles, tinsel and lights needed, as well as the size of the essential star on top.

If you've found your ideal Christmas tree but want to ensure you use the appropriate amount of decorations then the calculator will have the answer.

The formulas are as follows:

For example, a 180cm (6ft) Christmas tree would need 37 baubles, around 919 cms of tinsel and 565 cms of lights and an 18cm star or angel is required to achieve the perfect look.



Height of tree (cm)

Number of baubles: 29

Height of star or fairy (cm): 14

Length of tinsel (cm): 715

Length of lights (cm): 440


Students Nicole Wrightham and Alex Craig, both aged 20, from the University of Sheffield, created the formulae.

Nicole said: “The formulae took us about two hours to complete. We hope the formulae will play a part in making Christmas that little bit easier for everyone."


The world's tallest Christmas tree would, at 2,600ft tall, need more than 16,000 baubles, over 4,000 meters of tinsel, almost 2,500 meters of lights, and an 80 meter tall star.

This year's Trafalgar Square tree is 21 meters tall, meaning it would need 433 baubles, over 100 meters of tinsel, 65 meters of lights and a two meter tall star.