The Earth Puzzle by generative design studio Nervous System has no defined borders. You put it together how you want. Start anywhere and see where your journey takes you. This puzzle is based on an icosahedral map projection and has the topology of a sphere. This means it has no edges, no North and South, and no fixed shape. Try to get the landmasses together or see how the oceans...
Look from the above at the shapes and geometry we use for cities, blocks, roads, fields, and the like, and you start to get the repeating patterns. Páraic McGloughlin and Pearse McGloughlin highlight these patterns and their connectedness in Arena by stringing together Google Earth images. Tags: geometry, Google, satellite
The Wallace–Bolyai–Gerwien theorem says that if you have two polygons of equal area, you can cut one into pieces, and then place them back together to form the second piece. Dima Smirnov and Zivvy Epstein made an interactive to demonstrate. Draw two shapes and watch the magic happen. Tags: geometry, theorem