Math Related ASCII Art Hypercube, Mandelbrot Set, Sierpinski Gasket

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SUMMARY

This discussion focuses on the creation and visualization of mathematical ASCII art representations, specifically the Hypercube, Mandelbrot Set, and Sierpinski Gasket. The ASCII art serves as a creative medium to illustrate complex mathematical concepts visually. Participants share their interpretations and techniques for rendering these shapes, emphasizing the artistic aspect of mathematics. The discussion highlights the intersection of art and mathematics, showcasing how ASCII art can be used to represent intricate geometric forms.

PREREQUISITES
  • Understanding of basic geometric shapes and their properties
  • Familiarity with ASCII art creation techniques
  • Knowledge of fractals, specifically the Mandelbrot Set
  • Concepts of recursive patterns as seen in the Sierpinski Gasket
NEXT STEPS
  • Explore advanced techniques for creating ASCII art using tools like FIGlet
  • Study the mathematical principles behind fractals and their applications
  • Learn about 3D projections and visualizations of geometric shapes
  • Investigate the history and evolution of ASCII art in digital culture
USEFUL FOR

Mathematicians, artists, educators, and anyone interested in the fusion of mathematics and visual art will benefit from this discussion. It is particularly useful for those looking to enhance their understanding of geometric representations and ASCII art techniques.

MarkFL
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Hypercube:

[textdraw] +___________+
/:\ ,:\
/ : \ , : \
/ : \ , : \
/ : +-----------+
+...:../:...+ : /|
|\ +./.:...`...+ / |
| \ ,`/ : :` ,`/ |
| \ /`. : : ` /` |
| , +-----------+ ` |
|, | `+...:,.|...`+
+...|...,'...+ | /
\ | , ` | /
\ | , ` | /
\|, `|/ mn, 7/97
+___________+[/textdraw]

Mandelbrot Set:

[textdraw] \
`\,/
.-'-.
' `
`. .'
`._ .-~ ~-. _,'
( )' '.( )
`._ _ / .'
( )--' `-. .' ;
. .' '.; ()
`.-.` ' .'
----*-----; .'
.`-'. , `.
' '. .'; ()
(_)- .-' `. ;
,' `-' \ `.
(_). .'(_)
.' '-._ _.-' `.
.' `.
' ; ^aNT
`-,-'
/`\
/`[/textdraw]

Sierpinski Gasket:

[textdraw] /\
/\/\
/\ /\
/\/\/\/\
/\ /\
/\/\ /\/\
/\ /\ /\ /\
/\/\/\/\/\/\/\/\
/\ /\
/\/\ /\/\
/\ /\ /\ /\
/\/\/\/\ /\/\/\/\
/\ /\ /\ /\
/\/\ /\/\ /\/\ /\/\
/\ /\ /\ /\ /\ /\ /\ /\
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\[/textdraw]
 
Mathematics news on Phys.org

. . . . . . . The Penrose Triangle
Code: 
               *---*
              / \   \
             /   \   \
            /     \   \
           /   *   \   \
          /   / \   \   \
         /   /   \   \   \
        /   /   / \   \   \
       /   /   /   \   \   \
      /   /   /---------*   \
     /   /   /               \
    *   /   *-----------------*
     \ /                     /
      *---------------------*
 

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