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Results tagged with discrete-geometry
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user 28104
Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
4
votes
Accepted
Higher dimensional Rubik's cube group
The 4-dimensional, i.e. $3 \times 3 \times 3 \times 3$, equivalent of the
Rubik's cube has 8 three-dimensional sides, each of which consists of
$3^3 = 27$ three-dimensional colored "squares".
Of these …
- 19.6k
14
votes
Accepted
Lattice n-gons with ordered side lengths 1,2,3,...,n
There are indeed other such polygons.
-- For example there is one for $n = 11$, as follows
(the origin is in the lower left corner):
Also there is one for $n = 15$:
Further there are $21$ such p …
- 19.6k
14
votes
2
answers
876
views
Sets of evenly distributed points in the Euclidean plane
Is there a set $P \subset \mathbb{R}^2$ of points in the Euclidean plane whose intersection
with every convex subset of $\mathbb{R}^2$ of area $1$ is nonempty but finite?
If the answer is yes, can $P …
- 19.6k