What is the formula for spacing wire around a conical Christmas tree?

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SUMMARY

The discussion focuses on calculating the spacing of lighting wire around a conical Christmas tree, specifically one that is 6 meters high with a 2-meter diameter base. The formula provided for determining the spacing is spacing = 20/(wire length), which allows for a neat finish at the top of the tree. It is suggested to start wrapping the lights from the top down for easier adjustments at the bottom. This method ensures an even distribution of lights around the cone shape.

PREREQUISITES
  • Understanding of geometric shapes, specifically cones
  • Basic knowledge of trigonometry for calculating dimensions
  • Familiarity with lighting wire specifications and lengths
  • Experience with practical applications of DIY projects
NEXT STEPS
  • Research geometric properties of cones for better understanding of spacing calculations
  • Learn about wire management techniques for large-scale lighting installations
  • Explore methods for achieving uniform light distribution on conical shapes
  • Investigate alternative lighting patterns for decorative purposes
USEFUL FOR

This discussion is beneficial for DIY enthusiasts, holiday decorators, and anyone involved in large-scale outdoor lighting projects, particularly those working with conical structures.

Rsole
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So here's my problem.
For the past few years i have built a very large christmas tree in my front yard.
1200 lights or so... looks awesome

it is 6m high, a 2m ring at the bottom and is a constant cone shape to the top point.
To install the lights i start from the bottom and progress to the top, coiling the wire around the cone at a constant spacing
i know the length of lighting wire (its written of the packet), and would like to know the formula to calculate the spacing of wire around the cone to achieve a theoretical neat finish at the top
Rus
 

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Rsole said:
So here's my problem.
For the past few years i have built a very large christmas tree in my front yard.
1200 lights or so... looks awesome

it is 6m high, a 2m ring at the bottom and is a constant cone shape to the top point.
To install the lights i start from the bottom and progress to the top, coiling the wire around the cone at a constant spacing
i know the length of lighting wire (its written of the packet), and would like to know the formula to calculate the spacing of wire around the cone to achieve a theoretical neat finish at the top
https://www.physicsforums.com/attachments/90625

Rus
There's some kind of problem with your attachment. It can't be viewed.
 
For your 2m diameter base and 6m high conical tree, a good approximation in meters is: spacing = 20/(wire length).

You might want to start at the top since final adjustments at the bottom should be easier.
 

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