Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with euclidean-lattices
Search options not deleted
user 39521
3
votes
0
answers
43
views
Periodicity of density of laminated lattices
In Sphere Packings, Lattices and Groups, Conway and Sloane explore laminated lattices. If we let $X_d$ be the set of $d$-dimensional Euclidean lattices where every pair of points are separated by dist …
- 12.4k
1
vote
Accepted
Closest vertex in a 3D fcc lattice
Recall that the face-centred cubic lattice comprises all vectors in $\mathbb{Z}^3$ whose coordinate sum is even.
Let $(x, y, z) \in \mathbb{R}^3$. For each coordinate, define the discrepancy to be th …
- 12.4k
11
votes
0
answers
335
views
Lattices and stable homotopy groups of spheres
The number $65520$ arises in two very different scenarios:
It occurs in the formula for the theta series of the Leech lattice:
$$ \Theta_{\Lambda_{24}}(q) = 1 + \sum\limits_{m=1}^{\infty} \dfrac{655 …
- 12.4k
7
votes
Accepted
Is there a 3d equivalent of this picture?
The restriction to conformal maps is a natural one, as it means that there is no affine distortion in the neighbourhood of a point. Specifically, the Voronoi cells of the points will not be oblated or …
- 12.4k
47
votes
Accepted
Can we find lattice polyhedra with faces of area 1,2,3,...?
I found a 32-face example with face areas $\{ 1, 2, \dots, 32 \}$:
It took a reasonable amount of experimentation to stop it from self-intersecting.
- 12.4k