My formula is the De Broglie Equation.
$$λ=h/mv$$
Simply put De Broglie stated that not only does light use the idea of particle wave duality but all things can also display this relationship and have wavelengths. The wavelength of any one thing is dictated inversely by its mass, therefore almost always negligible except in the case of an electron. this equation allows one to interpret the wave nature of electrons. The wavelength found through this formula is then named the DeBroglie wavelength of what is being observed.
here is an illustration of what it looks like visually
My favorite formula comes from a system of equations called the Gray-Scott model for Reaction Diffusion
The formulas utilize a current distribution of two substances, a kill rate, a feed rate, a diffusion equation using the 2D Laplace function
$$A' = A + (D_{A}\nabla - AB^2 + f(1-A)\Delta t$$
$$B' = B + D_{B}\nabla - AB^2 + f(k+f)\Delta t$$
where A and B are the two chemicals (usually represented by a contrasting color difference in pixels), A' and B' are the new values, D is the diffusion rate, f is the feed rate, k is the kill rate, and delta t is the change in time so all terms are scaled.
this yields images such as this:
generated using all texture operators in an environment called TouchDesigner (working on the webGL version that everyone can play with on here )
This pattern is extremely significant in both computer graphics and when observing the natural world. It appears in many different facets of life including the visual appearance of sound waves in a fluid medium (cymatics), coral growth, and of course chemical interactions
Comments
My formula is the De Broglie Equation.
$$λ=h/mv$$
Simply put De Broglie stated that not only does light use the idea of particle wave duality but all things can also display this relationship and have wavelengths. The wavelength of any one thing is dictated inversely by its mass, therefore almost always negligible except in the case of an electron. this equation allows one to interpret the wave nature of electrons. The wavelength found through this formula is then named the DeBroglie wavelength of what is being observed.
here is an illustration of what it looks like visually
My favorite formula comes from a system of equations called the Gray-Scott model for Reaction Diffusion
The formulas utilize a current distribution of two substances, a kill rate, a feed rate, a diffusion equation using the 2D Laplace function
$$A' = A + (D_{A}\nabla - AB^2 + f(1-A)\Delta t$$
$$B' = B + D_{B}\nabla - AB^2 + f(k+f)\Delta t$$
where A and B are the two chemicals (usually represented by a contrasting color difference in pixels), A' and B' are the new values, D is the diffusion rate, f is the feed rate, k is the kill rate, and delta t is the change in time so all terms are scaled.
this yields images such as this:
generated using all texture operators in an environment called TouchDesigner (working on the webGL version that everyone can play with on here
)
This pattern is extremely significant in both computer graphics and when observing the natural world. It appears in many different facets of life including the visual appearance of sound waves in a fluid medium (cymatics), coral growth, and of course chemical interactions