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0answers
41 views

What is the shape of the set of integer sided acute triangles with largest side n? [migrated]

I played around with Gauss circle problem and found that if you take a certain sum in reverse and "in forward" and subtract the resulting sequences you get the OEIS sequence: https://oeis.org/A247588 ...
1
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0answers
53 views

creating a lattice using periodicity [duplicate]

i have 2 atoms A and B the coordinates of the A atoms are $ r1A= (0,-2d) $ and $ r2A= (\sqrt{3}/2 ,-d/2) $ the coordinates of B atoms are $ r1B= (0,-d) $ and $ r2B= ( \sqrt{3}/2,d/2) $ now i would ...
11
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2answers
752 views

How to create an hexagonal lattice structure

Given an array of atoms A-B-A-B-A-B in an hexagonal pattern, how can I use Mathematica to create with an hexagonal lattice (infinite) with this array so each atom A is sorrounded only by B atoms and ...
1
vote
0answers
219 views

Triangular lattice with periodic boundary conditions

I am trying to generate an equilateral triangular lattice with fixed vertices and periodic boundary conditions. I am supposed to assign an index (starting from 0) to each vertex in my lattice and then ...
2
votes
1answer
164 views

Cropping a non-cubic lattice unit cell

I would like to crop the hexagonal close-packed system as a hexagon and not as a cube. I would like to use the following volumetricPlot already given on this ...
8
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3answers
481 views

1D quasicrystal: points on a line nearest to points on a lattice

I have a simple lattice / line manipulation: ...
0
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0answers
138 views

How plot the lattice QCD visualization figure? [duplicate]

The following is the 3D grid to visualize the lattice QCD simulations. Please help me, how to plot this fig. employing Mathematica. Thank you very much.
1
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1answer
283 views

Finding 111 plane of Carbon Diamond

All, I looked at the example on the Mathematica Website with the Carbon Diamond Lattice. Example I am referring to I am wondering is there a way to highlight an individual plane such as the 111 or ...
0
votes
1answer
347 views

Using LatticeData to fill a space with spheres in a face-centered cubic (fcc) lattice packing arrangement

I have a large sphere of radius $R_1$ which I would like to pack with $N$ smaller radius of radius $r_2<R_1$ arranged in a face-centered cubic (fcc) packing arrangement (i.e. Kepler's optimal ...
0
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2answers
203 views

Visualizing multi-state lattice from a data set

Is there any way to make Mathematica visualize a multistate square lattice? That is, I have a data set from a simulation that is x coloumns wide and y rows tall (just a simple .dat file), where each ...
8
votes
1answer
248 views

How can I sequentially apply different graph embeddings?

Imagine I have some graph G, and I perform a graph embedding using a command like: ...
3
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2answers
1k views

How to generate a 3-d simple cubic lattice of length 4 in each dimension?

LatticeData["SimpleCubic", "Image"] The above line gives me a single cube (2 lattice points in each direction). But I want a lattice with 4 lattice points in ...
11
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1answer
460 views

Can a LatticeData image be displayed in a space filled fashion

I'd like a FaceCenteredCubic image as in the in LatticeData docs, but space packed, and cropped on all the boundaries, so that it illustrates the geometry of the calculation that leads to the ...