MHB Math Related ASCII Art Hypercube, Mandelbrot Set, Sierpinski Gasket

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The discussion features ASCII art representations of mathematical concepts, including a hypercube, the Mandelbrot set, and the Sierpinski gasket. Each piece of art visually illustrates complex mathematical ideas, showcasing the creativity in combining art and math. The hypercube is depicted with three-dimensional perspectives, while the Mandelbrot set emphasizes fractal patterns. The Sierpinski gasket demonstrates recursive geometric patterns. Overall, the thread highlights the intersection of mathematics and artistic expression through ASCII art.
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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: 
               *---*
              / \   \
             /   \   \
            /     \   \
           /   *   \   \
          /   / \   \   \
         /   /   \   \   \
        /   /   / \   \   \
       /   /   /   \   \   \
      /   /   /---------*   \
     /   /   /               \
    *   /   *-----------------*
     \ /                     /
      *---------------------*
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

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