Biradial Matrix

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.