Julia-Mandelbrot Projection

A planisphere formed by infinite micro planispheres

Some interesting coincidental areas:

Australia:

Iceland

Newfoundland

Peloponnese

Tasmania

Kyushu...

Americas:

Mexico + Central America

S America in the N Hemisphere

Tierra del Fuego

S Africa

France + Spain

Scotland

Norway 

Western Asia

Hokkaido

Western Australia

Queensland

Te Ika-a-Māui (N Island - New Zealand)...

Africa:

Florida

Italy

Ireland

Sweden

India (Madagascar=Ceylon)

S Australia...

Asia:

Labrador Peninsula

Washington + Oregon + Idaho + Nevada + California

Nordeste (Brazil)

Horn of Africa

Angola

E Europe

England

Finland

European Russia

China

Honshu

New S Wales + Victoria...

Some fixed points on Fractaland where the areas on the micro-world-maps correspond to the areas on the macro-world-map

Banach-Caccioppoli Projection

From endless contractions we arrive at the Zhoushan archipelago