wplace fractals

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 (▲)

Note: These upwards pointing sponges should be further categorised into the different pixel patterns they use

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

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

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

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.

https://wplace.live/?lat=23.619&lng=135.655&zoom=12

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.