Mandelbrot Set
Benoît Mandelbrot; earlier work by Robert Brooks and Peter Matelski
A simple iteration creates a boundary with extraordinary detail.
Fractals & infinity / 1926
Menger Sponge
A cube is hollowed into a three-dimensional web of repeated openings.
TRY THIS
Compare a face of the sponge with the Sierpiński carpet. Look through the intersecting channels.
THE IMAGE IN THIS ARCHIVE
Niabot
Original file & attribution · CC BY 3.0
This locally stored image is a Wikimedia Commons rendition (resized or rendered from the source file). The full original is linked from the source record. Gallery previews may be resized or converted to WebP; animated previews show the first frame.
Download imageFrequently asked questions
What is Menger Sponge?
A cube is hollowed into a three-dimensional web of repeated openings.
What should I look for in Menger Sponge?
Compare a face of the sponge with the Sierpiński carpet. Look through the intersecting channels.
What explains Menger Sponge?
Divide a cube into 27 smaller cubes. Remove the central cube and the six face-center cubes, leaving 20; repeat the process in each survivor.
Another way to see it
Explore this category
Julia Set
Gaston Julia and Pierre Fatou
Repeated complex mappings produce intricate connected shapes or dust-like sets.
