Flawed construction of a finite topological space on 5 points. Combines both generative and hand-made elements. Drawn in Photoshop and glitched using PhotoMosh and human error. Algorithm: 1) Pick a natural number n; 2) Draw an n-sided convex polygon as a base space (coordinates can be found by rotating the n-th roots of unity counterclockwise by pi/2 radians); 3) Pick a natural number m <= n; 4) Draw m singleton sets on the base space; 5) Use the singleton sets as a basis to generate the open sets of the discrete topological space on m points; 6) Add any additional open sets consistent with the topological space axioms as desired; 7) Draw a frame to represent the open set around the base space; 8) Adjust composition as desired consistent with the topological space axioms. This particular space fails to be topological because it is missing a single open set required from step 5.
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Wabi-Sabi #1: Flawed Topological Space on 5 Points
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Flawed construction of a finite topological space on 5 points. Combines both generative and hand-made elements. Drawn in Photoshop and glitched using PhotoMosh and human error. Algorithm: 1) Pick a natural number n; 2) Draw an n-sided convex polygon as a base space (coordinates can be found by rotating the n-th roots of unity counterclockwise by pi/2 radians); 3) Pick a natural number m <= n; 4) Draw m singleton sets on the base space; 5) Use the singleton sets as a basis to generate the open sets of the discrete topological space on m points; 6) Add any additional open sets consistent with the topological space axioms as desired; 7) Draw a frame to represent the open set around the base space; 8) Adjust composition as desired consistent with the topological space axioms. This particular space fails to be topological because it is missing a single open set required from step 5.
SuperRare makes it easy to create, sell, and collect rare digital art. SuperRare's smart contract platform allows artists to release limited-edition digital artwork tracked on the blockchain, making the pieces rare, verified, and collectible. Filter the crypto art world's best selling works by artist name, creation type, and year of birth on OpenSea.
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