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Results tagged with euclidean-geometry
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user 20186
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.
6
votes
Metrics for lines in $\mathbb{R}^3$?
This is probably obvious for everybody who contributed here, but I thought it bares saying explicitly. If you forego invariance with respect to isometries of $\mathbf{R}^3$, you can still have a metri …
- 5,971
2
votes
11
votes
Accepted
2-layer tilings with a center-of-gravity constraint
The pentagon $(0,0)(0,1)(1/2,1+x)(1,1),(1,0)$ with $x=(\sqrt{21}-3)/4$ gives a double coverage fraction of $x/2=0.1978\ldots$.
UPDATE: The triangle can get you $1/8=0.125$
- 5,971