h
Kiana Khansmith
Sade Olutola
Acquired Stardust
PR's Tumblrdome
Sweet Seals For You, Always
trying on a metaphor
Love Begins
"I'm Dorothy Gale from Kansas"
i don't do bad sauce passes
DEAR READER
Keni
Three Goblin Art
hello vonnie
Stranger Things
❣ Chile in a Photography ❣
occasionally subtle
Misplaced Lens Cap
he wasn't even looking at me and he found me
seen from T1
seen from United States
seen from China
seen from Brazil
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seen from Israel
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seen from India
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seen from United States
seen from TĂĽrkiye
seen from Netherlands
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@valxyz
Parametric Grid Curve on 3D Surfaces A single parametric curve q(t) = (x(t), y(t)) that traces an entire 2D grid without lifting the pen, then mapped onto 3D surfaces like spheres and tori. On the left, the surface rotates in 3D showing the grid wrapped around it. On the right, the x(t) and y(t) components update in real time as the surface rotates. The challenge was finding a closed-form parametric function that draws a complete grid as one continuous path. code
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Wave Equation
The wave equation is a partial differential equation that describes the propagation of various types of waves.
The equation appears throughout many fields in physics, including acoustics, fluid dynamics, electromagnetism, and quantum mechanics. With some modifications, it can even describe the spread of traffic jams on busy highways!
The one-dimensional equation was first discovered by d’Alembert in 1746 as he studied how vibrations propagated through a string, and the two- and three-dimensional equations were solved soon after by Euler during his study of acoustics.
The simulations above show the propagation of a disturbance on a two-dimensional surface for two different sets of boundary conditions [1]Â [2].
Mathematica code posted here.
