Infinity connects gractals to the idea of being measured. The most famous example of how fractal geometry effects measurement is the coastline of England. Euclidean geometry puts a rough outline around England and measures. Fractal geometry includes every nook and cranny of the coastline which nearly triples the length of the coast. Imagine if smaller and smaller units of measure are used the coastline would approach an infinite length.
The image on the left shows the coast of England measured with Euclidean geometry. The image on the far right shows how fractal geometry measures the coastline more accurately.
Here are some pieces of my art based on coastlines.