WOLFRAM|DEMONSTRATIONS PROJECT

Biradial Matrix

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field structure
nodes
rays
attract
repel
hyperbola
intersection labels
D
4
R
A
24
R
B
24
ϕ
A
0
ϕ
B
0
line thickness
0.002
node diameter
0.01
line color
point color
plot range
6
image size
400
A biradial matrix consists of two sets of equally spaced radial lines separated by a distance
D
. Use the "nodes" or "rays" buttons to change the display. The rays (nodes) can be indexed from zero starting at the
D
segment, creating a biradial coordinate system with coordinate pairings at the nodes; check "intersection labels" to see their values. By adhering to specific connection algorithms, fundamental field structures are set with the "attract", "repel" and "hyperbola" buttons. The number of rays from each pole can be set using the sliders
R
A
and
R
B
, which changes the subsequent field structures. The angular phase relation between the poles (defined elsewhere) can be set with the sliders
ϕ
A
and
ϕ
B
. This geometric construct has many applications in physics. The "line thickness" and "node diameter" sliders vary the thickness of the lines and diameter of the nodes.