Note:
- a “Fractal reef” is a location with multiple different fractals. The OG Fractal Reef is at Point Nemo, and includes a world map pointing to several other significant fractals around the world. (they will be included here in time)
- All coords on this page dropped to 3 significant places only (todo: test if I can reliably drop to 2)
- lat+long may need tweaking to provide optimal position to identify fractal
- Zooms has been standardised to 12.
- todo: improve descriptions and categorisations of links
Discord
Please join us on the Fractal Reef discord server
Sierpiński sponges (triangle)
Point Up (▲)
- https://wplace.live/?lat=-79.510&lng=-70.832&zoom=12
- https://wplace.live/?lat=-65.904&lng=54.594&zoom=12
- https://wplace.live/?lat=-45.927&lng=170.507&zoom=12
- https://wplace.live/?lat=-44.227&lng=173.097&zoom=12
- https://wplace.live/?lat=-34.137&lng=171.977&zoom=12
- https://wplace.live/?lat=-19.283&lng=-169.914&zoom=12
- https://wplace.live/?lat=12.923&lng=113.459&zoom=12
- https://wplace.live/?lat=21.780&lng=136.814&zoom=12
- https://wplace.live/?lat=25.792&lng=-81.502&zoom=12
- https://wplace.live/?lat=26.362&lng=-96.635&zoom=12
- https://wplace.live/?lat=29.474&lng=125.2588&zoom=12
- https://wplace.live/?lat=30.100&lng=-168.719&zoom=12
- https://wplace.live/?lat=31.359&lng=31.024&zoom=12
- https://wplace.live/?lat=32.392&lng=135.652&zoom=12
- https://wplace.live/?lat=37.183&lng=-122.580&zoom=12
- https://wplace.live/?lat=37.310&lng=50.098&zoom=12
- https://wplace.live/?lat=39.862&lng=-39.992&zoom=12
- https://wplace.live/?lat=40.449&lng=30.694&zoom=12
- https://wplace.live/?lat=40.649&lng=-104.820&zoom=12
- https://wplace.live/?lat=40.951&lng=-104.853&zoom=12
- https://wplace.live/?lat=42.279&lng=-87.139&zoom=12
- https://wplace.live/?lat=42.745&lng=-70.574&zoom=12 - inverted colours relative to most
- https://wplace.live/?lat=43.745&lng=-38.374&zoom=12
- https://wplace.live/?lat=46.075&lng=33.283&zoom=12
- https://wplace.live/?lat=48.766&lng=-36.836&zoom=12
- https://wplace.live/?lat=53.059&lng=2.875&zoom=12 - the famous north sea fractal. possibly the largest single fractal on wplace
- https://wplace.live/?lat=63.968&lng=-46.576&zoom=12
- https://wplace.live/?lat=67.324&lng=14.955&zoom=12
- https://wplace.live/?lat=71.250&lng=53.362&zoom=12
- https://wplace.live/?lat=77.614&lng=104.059&zoom=12
- https://wplace.live/?lat=85.035&lng=94.077&zoom=12
- https://wplace.live/?lat=-63.509&lng=-57.442&zoom=12
- https://wplace.live/?lat=-63.235&lng=-55.532&zoom=12
- https://wplace.live/?lat=-41.790&lng=148.011&zoom=12
- https://wplace.live/?lat=-19.199&lng=-169.913&zoom=12
- https://wplace.live/?lat=9.625&lng=126.237&zoom=12 - note a pixel concentric squares to the south-west too
- https://wplace.live/?lat=13.162&lng=120.870&zoom=12 - big colourful triangle, overlaid with some other art
- https://wplace.live/?lat=19.225&lng=166.854&zoom=12
- https://wplace.live/?lat=36.320&lng=-4.987&zoom=12 - pattern is poor at pixel scale
- https://wplace.live/?lat=36.498&lng=-4.017&zoom=12
- https://wplace.live/?lat=37.310&lng=50.098&zoom=12
- https://wplace.live/?lat=38.047&lng=15.111&zoom=12 - pattern fill on the main empty
- https://wplace.live/?lat=38.867&lng=17.128&zoom=12 - v. large
Note: These upwards pointing sponges should be further categorised into the different pixel patterns they use
Lower-left triangle (◣)
- https://wplace.live/?lat=16.456&lng=-60.534&zoom=12
- https://wplace.live/?lat=26.345&lng=-81.638&zoom=12
- https://wplace.live/?lat=39.637&lng=-106.776&zoom=12
- https://wplace.live/?lat=60.709&lng=-64.635&zoom=12 - inverted colours than usual. White on a black field.
- https://wplace.live/?lat=-14.213&lng=-169.353&zoom=12
- https://wplace.live/?lat=16.284&lng=-60.533&zoom=12
Upper-left triangle (◤)
Other variations
- https://wplace.live/?lat=46.011&lng=-3.865&zoom=12 - Up/Down mirror (pointing out)
- https://wplace.live/?lat=69.931&lng=-51.108&zoom=12 - 4x, all pointing inwards
Sierpiński carpet (square)
- https://wplace.live/?lat=-53.687&lng=-135.835&zoom=12
- https://wplace.live/?lat=-24.097&lng=82.456&zoom=12
- https://wplace.live/?lat=-18.695&lng=79.549&zoom=12
- https://wplace.live/?lat=-0.014&lng=0.128&zoom=12 - pattern inexact
- https://wplace.live/?lat=26.933&lng=-94.487&zoom=12 - textured
- https://wplace.live/?lat=31.502&lng=136.536&zoom=12
- https://wplace.live/?lat=32.826&lng=33.996&zoom=12
- https://wplace.live/?lat=37.235&lng=49.364&zoom=12 - imperfect pattern, background to other art
- https://wplace.live/?lat=42.607&lng=-76.862&zoom=12 - two very near each other (NE/SW)
- https://wplace.live/?lat=43.150&lng=-86.608&zoom=12
- https://wplace.live/?lat=43.150&lng=-86.608&zoom=12
- https://wplace.live/?lat=44.732&lng=-119.985&zoom=12 - overlaid with a great diamond patterning
- https://wplace.live/?lat=45.439&lng=-124.436&zoom=12
- https://wplace.live/?lat=46.918&lng=-53.572&zoom=12
- https://wplace.live/?lat=47.746&lng=-123.503&zoom=12 - small so far
- https://wplace.live/?lat=48.783&lng=34.424&zoom=12 - has another square based fractal-ish pattern to the left. Should this be a reef?
- https://wplace.live/?lat=48.804&lng=35.154&zoom=12
- https://wplace.live/?lat=50.267&lng=-115.633&zoom=12
- https://wplace.live/?lat=51.433&lng=-92.142&zoom=12 - quite small so far
- https://wplace.live/?lat=52.565&lng=22.070&zoom=12
- https://wplace.live/?lat=53.725&lng=28.024&zoom=12
- https://wplace.live/?lat=54.008&lng=-89.661&zoom=12 - striking cyan
- https://wplace.live/?lat=56.991&lng=-92.426&zoom=12 - quote small so far
- https://wplace.live/?lat=57.888&lng=-88.586&zoom=12
- https://wplace.live/?lat=71.366&lng=55.061&zoom=12 - missing a scale
- https://wplace.live/?lat=73.066&lng=-109.263&zoom=12
- https://wplace.live/?lat=75.987&lng=60.449&zoom=12
- https://wplace.live/?lat=85.044&lng=-33.027&zoom=12
- https://wplace.live/?lat=-69.371&lng=-67.564&zoom=12
- https://wplace.live/?lat=17.585&lng=121.108&zoom=12
- https://wplace.live/?lat=18.361&lng=95.301&zoom=12
- https://wplace.live/?lat=25.228&lng=54.813&zoom=12
Other single fractals
- https://wplace.live/?lat=-30.822&lng=-6.300&zoom=12 - Squares into golden rectangle
- https://wplace.live/?lat=-2.391&lng=141.059&zoom=12 - squares arranged in nested golden ratio (but no curve overlay)
- https://wplace.live/?lat=43.666&lng=-86.760&zoom=12 - 10 sided kaleidoscope effect
- https://wplace.live/?lat=46.165&lng=-124.373&zoom=12 - amazing flame bursts
- https://wplace.live/?lat=79.142&lng=139.739&zoom=12 - amazing spirals
- https://wplace.live/?lat=39.595&lng=128.191&zoom=12 - Pythagoras tree
- https://wplace.live/?lat=63.673&lng=-51.4962&zoom=12 - another squares/golden rectangles/spiral
- https://wplace.live/?lat=44.128&lng=-88.128&zoom=12 - Hilbert curve
- https://wplace.live/?lat=45.407&lng=-81.396&zoom=12 - square based pattern - repeat and shrink on the corners
- https://wplace.live/?lat=64.856&lng=-18.600&zoom=12 - curve thing I need to find the name for. It’s below a series of squares of increasing size (1x1, 2x2, 3x3 … 129x129 at time of writing)
- https://wplace.live/?lat=16.699&lng=-169.475&zoom=12 - koch snowflake populated with capybaras
Dragon curve
- https://wplace.live/?lat=42.692&lng=-70.761&zoom=12
- https://wplace.live/?lat=43.779&lng=-77.313&zoom=12
Mandelbrot
- https://wplace.live/?lat=41.715&lng=-39.083&zoom=12 - Mandelbrot
- https://wplace.live/?lat=42.342&lng=-70.985&zoom=12 - Boston Mandelbrot
- https://wplace.live/?lat=-8.369&lng=138.067&zoom=12 - Mandel within feather pattern spiral, and QR linking (supposedly) to a site with more info
Vicsek
- https://wplace.live/?lat=-15.652&lng=63.881&zoom=12
- https://wplace.live/?lat=-80.590&lng=-63.074&zoom=12
Other fractal reefs (multiples)
- https://wplace.live/?lat=-64.781&lng=-64.256&zoom=12 - carpet, small triangle, a hilbert, a cantor, and others
- https://wplace.live/?lat=-40.750&lng=175.039&zoom=12 - one-liner as triangle+hilbert+other
- https://wplace.live/?lat=36.680&lng=-122.536&zoom=12 - triangle inside carpet, with Vicsek to the side
- https://wplace.live/?lat=44.672&lng=-123.284&zoom=12 - carpet+sponge+Hilbert curve+Peano curve
- https://wplace.live/?lat=47.324&lng=-123.483&zoom=12 - hilbert curve inside a carpet
- https://wplace.live/?lat=47.844&lng=-123.400&zoom=12 - multiple Sierpiński triangles in different orientations, but also some appear to be cellular automata (A new kind of science kind of way), plus a spiral thing (name??) slightly to the north, plus hilbert curves, and another spiral even slightly further north and east and even a non-fractal rainbow diamond
- https://wplace.live/?lat=49.166&lng=-92.859&zoom=12 - carpet + other (twice)
- https://wplace.live/?lat=52.591&lng=-114.036&zoom=12 - tiangle + carpet + dragon
- https://wplace.live/?lat=58.881&lng=-160.042&zoom=12 - 2x Mandelbrot
- https://wplace.live/?lat=63.413&lng=-46.870&zoom=12 - Carpet + Vicsek. One of the carpet corners has a distinctive outline pattern variation
- https://wplace.live/?lat=49.705&lng=-119.074&zoom=12 - rainbow shaded triangle, and mandelbrot to the left (tangent: surrounded by graphing calculators)
- https://wplace.live/?lat=7.982&lng=122.788&zoom=12 - carpet + hexagons thing, with only small gap between
- https://wplace.live/?lat=34.057&lng=108.993&zoom=12 - triangle and hilbert
Sierpiński pair (carpet + sponge)
- https://wplace.live/?lat=22.812&lng=122.047&zoom=12
- https://wplace.live/?lat=-36.576&lng=175.802&zoom=12 - rainbow carpet
- https://wplace.live/?lat=36.995&lng=-122.831&zoom=12 - slightly seperated but close enough
- https://wplace.live/?lat=53.298&lng=-2.526&zoom=12 - Triangle+Carpet - England themed (Coat of Arms + Saint George’s Cross)
- https://wplace.live/?lat=-68.806&lng=-70.642&zoom=12 - triangle, but has a carpet appearing to be started to the west
- https://wplace.live/?lat=39.442&lng=116.634&zoom=12 - carpet with faint triangle slightly northwest
Other pixel patterns
Not fractals but stuff that is cool in a fractal-ish way, or just nice patterns
- https://wplace.live/?lat=-39.564&lng=176.732&zoom=12 - various patterns
- https://wplace.live/?lat=-40.738&lng=176.178&zoom=12 - spiral of flowers
- https://wplace.live/?lat=42.474&lng=-85.611&zoom=12 - various patterns
- https://wplace.live/?lat=66.069&lng=-167.494&zoom=12 - pixel space-invaders style, in different sizes
- https://wplace.live/?lat=44.372&lng=-160.726&zoom=12 - 7 side kaleidoscope
- https://wplace.live/?lat=61.261&lng=-47.3151&zoom=12 - QR code of QR codes
- https://wplace.live/?lat=35.569&lng=8.443&zoom=12 - “bruh” made of “bruh”
- https://wplace.live/?lat=40.353&lng=-104.756&zoom=12 - a tiling pattern of colours
- https://wplace.live/?lat=43.322&lng=-118.798&zoom=12 - a patterned compass rose
- https://wplace.live/?lat=45.662&lng=-85.775&zoom=12 - various samples of pixel based textures
- https://wplace.live/?lat=54.949&lng=-89.806&zoom=12 - palette effect of every colour checkboard with every other colour (I think). A great reference
- https://wplace.live/?lat=-58.906&lng=-72.945&zoom=12 - a zoom/tunnel impression culminating in a QR code (for a band’s site?)
- https://wplace.live/?lat=-2.683&lng=132.451&zoom=12 - a neat circle-based pixel pattern
- https://wplace.live/?lat=-2.410&lng=147.329&zoom=12 - hearts. so many years and painted-effects on many
- https://wplace.live/?lat=6.862&lng=81.156&zoom=12 - flower mandala
- https://wplace.live/?lat=8.125&lng=80.667&zoom=12 - various pixel patterns
- https://wplace.live/?lat=15.221&lng=104.415&zoom=12 - neat square/diamond grid pattern
- https://wplace.live/?lat=19.417&lng=99.762&zoom=12 - kind of a compass rose, but not traditional.
- https://wplace.live/?lat=20.456&lng=38.435&zoom=12 - kaleidoscope/mandala kinda thing? but not exactly
- https://wplace.live/?lat=26.423&lng=-82.020&zoom=12 - trail of pixel patterns and (to ESE) a large concentric squares
- https://wplace.live/?lat=32.530&lng=13.974&zoom=12 - square mandala kind of thing
- https://wplace.live/?lat=32.852&lng=13.078&zoom=12 - pixel patterns
- https://wplace.live/?lat=36.222&lng=0.479&zoom=12 - quilt of many pixel patterns (diamond orientation)
unsorted
- https://wplace.live/?lat=40.233&lng=129.430&zoom=12
- https://wplace.live/?lat=40.656&lng=109.805&zoom=12
- https://wplace.live/?lat=41.852&lng=-5.412&zoom=12
- https://wplace.live/?lat=43.395&lng=39.846&zoom=12
- https://wplace.live/?lat=43.427&lng=38.002&zoom=12
- https://wplace.live/?lat=43.955&lng=39.802&zoom=12
- https://wplace.live/?lat=44.000&lng=5.048&zoom=12
- https://wplace.live/?lat=44.249&lng=9.071&zoom=12
- https://wplace.live/?lat=44.713&lng=-122.816&zoom=12
- https://wplace.live/?lat=47.367&lng=52.062&zoom=12
- https://wplace.live/?lat=51.947&lng=107.163&zoom=12
- https://wplace.live/?lat=52.815&lng=-5.990&zoom=12
- https://wplace.live/?lat=53.522&lng=108.462&zoom=12
- https://wplace.live/?lat=53.905&lng=13.989&zoom=12
- https://wplace.live/?lat=54.167&lng=28.002&zoom=12
- https://wplace.live/?lat=54.417&lng=-9.075&zoom=12
- https://wplace.live/?lat=55.161&lng=17.207&zoom=12
- https://wplace.live/?lat=55.486&lng=21.856&zoom=12
- https://wplace.live/?lat=55.516&lng=17.964&zoom=12
- https://wplace.live/?lat=55.531&lng=80.524&zoom=12
- https://wplace.live/?lat=56.098&lng=12.261&zoom=12
- https://wplace.live/?lat=56.355&lng=12.188&zoom=12
- https://wplace.live/?lat=56.442&lng=18.316&zoom=12
- https://wplace.live/?lat=56.693&lng=13.740&zoom=12
- https://wplace.live/?lat=56.929&lng=14.585&zoom=12
- https://wplace.live/?lat=57.372&lng=24.210&zoom=12
- https://wplace.live/?lat=58.087&lng=65.500&zoom=12
- https://wplace.live/?lat=58.303&lng=17.281&zoom=12
- https://wplace.live/?lat=58.351&lng=21.920&zoom=12
- https://wplace.live/?lat=58.352&lng=21.907&zoom=12
- https://wplace.live/?lat=59.121&lng=23.985&zoom=12
- https://wplace.live/?lat=59.631&lng=111.935&zoom=12
- https://wplace.live/?lat=59.662&lng=33.894&zoom=12
- https://wplace.live/?lat=60.268&lng=31.505&zoom=12
- https://wplace.live/?lat=60.683&lng=16.928&zoom=12
- https://wplace.live/?lat=60.765&lng=30.203&zoom=12
- https://wplace.live/?lat=61.910&lng=36.908&zoom=12
- https://wplace.live/?lat=62.065&lng=32.344&zoom=12
- https://wplace.live/?lat=62.135&lng=110.309&zoom=12
- https://wplace.live/?lat=64.721&lng=22.901&zoom=12
- https://wplace.live/?lat=67.548&lng=123.906&zoom=12
- https://wplace.live/?lat=69.139&lng=80.428&zoom=12
- https://wplace.live/?lat=69.140&lng=80.442&zoom=12
- https://wplace.live/?lat=70.370&lng=125.749&zoom=12
I’m surprised that the largest Sierpinski carpet I’ve ever seen isn’t listed on the website yet. It’s a little ways to the northwest of the Philippine Sea artwork complex.
Six orders of magnitude have been completed, forming a 729x729 square, and work is underway on a seventh, making the full attempted extent 2187x2187 pixels - one of the most ambitious undertakings on the website.
- https://wplace.live/?lat=41.082&lng=20.707&zoom=12
- https://wplace.live/?lat=43.922&lng=17.871&zoom=12
- https://wplace.live/?lat=46.542&lng=18.382&zoom=12
- https://wplace.live/?lat=47.854&lng=13.656&zoom=12
- https://wplace.live/?lat=47.860&lng=13.656&zoom=12
- https://wplace.live/?lat=44.202&lng=25.000&zoom=12
- https://wplace.live/?lat=41.082&lng=20.707&zoom=12
- https://wplace.live/?lat=43.922&lng=17.871&zoom=12
- https://wplace.live/?lat=46.542&lng=18.382&zoom=12
- https://wplace.live/?lat=47.079&lng=10.619&zoom=12
- https://wplace.live/?lat=47.052&lng=13.317&zoom=12
- https://wplace.live/?lat=50.268&lng=13.835&zoom=12
- https://wplace.live/?lat=45.572&lng=27.944&zoom=12
- https://wplace.live/?lat=46.006&lng=28.169&zoom=12
- https://wplace.live/?lat=46.970&lng=30.014&zoom=12
- https://wplace.live/?lat=50.857&lng=24.946&zoom=12
- https://wplace.live/?lat=55.824&lng=29.266&zoom=12
- https://wplace.live/?lat=51.771&lng=30.532&zoom=12
- https://wplace.live/?lat=54.167&lng=28.002&zoom=12
- https://wplace.live/?lat=57.958&lng=36.955&zoom=12
- https://wplace.live/?lat=50.892&lng=42.185&zoom=12
- https://wplace.live/?lat=56.266&lng=45.215&zoom=12
- https://wplace.live/?lat=63.658&lng=54.037&zoom=12
- https://wplace.live/?lat=40.350&lng=73.405&zoom=12
- https://wplace.live/?lat=21.569&lng=113.399&zoom=12
- https://wplace.live/?lat=0.414&lng=33.297&zoom=12
- https://wplace.live/?lat=21.568&lng=113.399&zoom=12
- https://wplace.live/?lat=15.801&lng=18.723&zoom=12
- https://wplace.live/?lat=48.788&lng=-36.984&zoom=12
- https://wplace.live/?lat=-35.941&lng=-19.724&zoom=12
- https://wplace.live/?lat=-68.911&lng=39.375&zoom=12
- https://wplace.live/?lat=-68.815&lng=40.199&zoom=12
- https://wplace.live/?lat=-69.162&lng=40.078&zoom=12
- https://wplace.live/?lat=-67.994&lng=43.937&zoom=12
- https://wplace.live/?lat=-65.905&lng=54.594&zoom=12
- https://wplace.live/?lat=-68.453&lng=70.192&zoom=12
- https://wplace.live/?lat=-72.991&lng=59.852&zoom=12
- https://wplace.live/?lat=-67.207&lng=84.615&zoom=12
- https://wplace.live/?lat=-66.622&lng=88.478&zoom=12
- https://wplace.live/?lat=-66.338&lng=100.490&zoom=12
- https://wplace.live/?lat=-66.767&lng=108.365&zoom=12
- https://wplace.live/?lat=-69.824&lng=68.118&zoom=12
Bookmarks
- https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle
- https://en.wikipedia.org/wiki/Sierpi%C5%84ski_carpet
- https://en.wikipedia.org/wiki/Vicsek_fractal
- https://en.wikipedia.org/wiki/Hilbert_curve
- https://en.wikipedia.org/wiki/Dragon_curve
- https://en.wikipedia.org/wiki/Mandelbrot_set