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 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

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