Math Equation Christmas Tree and Graph

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Discussion Overview

The discussion revolves around creating artistic representations of Christmas trees and holiday scenes using mathematical equations, particularly through platforms like LaTeX and DESMOS. Participants share links, ideas, and their own creations, exploring various mathematical shapes and potential enhancements.

Discussion Character

  • Exploratory
  • Technical explanation
  • Creative/artistic

Main Points Raised

  • Some participants suggest using LaTeX and DESMOS to create festive mathematical art, with links to existing examples.
  • One participant proposes a specific equation, x = ± 1/(y(√y)), claiming it produces a tree-like shape.
  • Another participant encourages adding a tree trunk and color to enhance the visual appeal of the mathematical tree.
  • There are mentions of adding animation parameters to simulate trees growing and snow appearing, with links to relevant DESMOS calculators.
  • One participant describes a shape resembling a Hershey’s kiss and suggests that colorization improves its appearance.
  • A participant expresses interest in creating a graph based on the Physics Forums logo, seeking advice on how to incorporate specific features like notches on ellipses.

Areas of Agreement / Disagreement

Participants generally agree on the creative potential of using mathematics for artistic representations, but there are various approaches and ideas presented without a consensus on specific methods or outcomes.

Contextual Notes

Some suggestions involve unresolved technical details, such as the specific mathematical functions to achieve desired visual effects, and the effectiveness of proposed enhancements remains subjective.

Who May Find This Useful

Individuals interested in the intersection of mathematics and art, educators looking for creative teaching methods, and members of the Physics Forums community who enjoy mathematical challenges.

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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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