Math Equation Christmas Tree and Graph

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SUMMARY

The forum discussion centers around creating a Christmas tree using mathematical equations, specifically utilizing tools like LaTeX and the DESMOS Calculator. Users shared links to various creative projects, including a greeting card and different equation sets that resemble Christmas trees. Notable equations mentioned include x = ± 1/(y(√y)) and ##|x| = \frac{1}{y^{\sqrt y}}##, which produce tree-like shapes. Participants encouraged further creativity by suggesting the addition of animations and color to enhance the visual appeal of the mathematical representations.

PREREQUISITES
  • Familiarity with LaTeX for typesetting mathematical equations
  • Basic understanding of graphing functions in DESMOS
  • Knowledge of mathematical equations and their graphical representations
  • Experience with animation parameters in graphing tools
NEXT STEPS
  • Explore advanced features of DESMOS for creating animated graphs
  • Learn how to use LaTeX for complex mathematical visualizations
  • Research techniques for colorizing mathematical graphs
  • Investigate methods for integrating multiple functions to create intricate designs
USEFUL FOR

Mathematicians, educators, students, and anyone interested in combining art with mathematics through graphing tools like DESMOS and LaTeX.

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That sounds like a great idea. Perhaps @Greg Bernhardt can comment on it.

I know the DESMOS Calculator has a creative art using equations section posted below:

https://www.desmos.com/art

where a student did a greeting card for Christmas:

s3iseinydf.png
https://www.desmos.com/calculator/s3iseinydf
 

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Ok math and science brains, it's time to get creative and festive! Using LaTeX or on a graph can you build an amazing christmas tree or holiday/winter scene using math equations? DESMOS is a great tool to use. Post your equation set and photo and maybe you'll get gold membership!
 
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x = ± 1/(y(√y))

Makes a nice tree kinda shape
 
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upload_2018-12-7_16-31-47.png


Just for a start, could add a tree trunk to the bottom.
 

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DeathByKugelBlitz said:
View attachment 235365

Just for a start, could add a tree trunk to the bottom.
You can type: ##|x| = \frac{1}{y^{\sqrt y}}##, that will make it one function.
 
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  • #10
upload_2018-12-8_8-4-51.png
 

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  • #11
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  • #12

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  • #13
The shape itself looks like a a Hershey’s kiss candy without the silver wrapper and pull tab.

But it looks really cool when colorized and stacked.

Next you could add some animation parameters to it to make the trees grow into place and snow appear.
 
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  • #14
jedishrfu said:
The shape itself looks like a a Hershey’s kiss candy without the silver wrapper and pull tab.
螢幕擷取畫面 (4).png

Looks kind of like what I searched online.
 

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  • #15
Last edited:
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  • #17
It’s been a while since I last work on this.I know that it is 2019 now and Christmas had gone by.

I am going to make a similar graph on PF’s logo, but I am having some trouble on making the notches on the tilted ellipses for those “electrons” .What could be the possible factor to do that? Maybe using a circle function at that spot and eliminate the lines within?
 

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