Heatmap of Trig Expressions

By Xah Lee. Date: . Last updated: .

The following are density plots of arbitrary expressions of one term involving trig functions.

Blood Tinge

blood tinge 2025-06-09 1e091
blood tinge 2025-06-09 1e091
1c
1c
DensityPlot[y  Sin[x],
{x, -2  Pi, 2  Pi},
{y, -2  Pi, 2  Pi},
 ColorFunction -> Function[x, Hue[0, x, 1]],
PlotPoints -> 30,
MaxRecursion -> 4]

Plot3D[
y Sin[x],
{x, -2 Pi, 2 Pi},
{y, -2 Pi, 2 Pi},
ColorFunction -> Hue,
PlotPoints -> 30,
MaxRecursion -> 4
]

B Curtain

b curtain 2025-06-09 19bc3
b curtain 2025-06-09 19bc3
b curtain 2025-06-09 2a716
b curtain 2025-06-09 2a716
DensityPlot[(Csc[x] Sin[Sin[y] Tan[x]])/x,
{x, -Pi, Pi},
{y, -Pi, Pi},
ColorFunction -> GrayLevel,
MaxRecursion -> 5,
PlotPoints -> 90]

Plot3D[(Csc[x] Sin[Sin[y] Tan[x]])/x,
{x, -Pi, Pi},
{y, -Pi, Pi},
ColorFunction -> GrayLevel,
MaxRecursion -> 5,
PlotPoints -> 90]
b curtain dzkMD
b curtain dzkMD

Lens Valley

Lens Valley 2025-06-09 298ea
Lens Valley 2025-06-09 298ea
Lens Valley 2025-06-09 299aa
Lens Valley 2025-06-09 299aa
4bw
4bw
DensityPlot[
(Sin[y] Tan[x])/(x y) ,
{x, -4 Pi, 4 Pi},
{y, -4 Pi, 4 Pi},
 ColorFunction -> Function[x, Hue[0, x, 1]],
PlotPoints -> 30,
MaxRecursion -> 4]

Plot3D[
(Sin[y] Tan[x])/(x y) ,
{x, -4 Pi, 4 Pi},
{y, -4 Pi, 4 Pi},
ColorFunction -> Hue,
PlotPoints -> 30,
MaxRecursion -> 4
]

Trough Field

3blue
3blue
DensityPlot[
Csc[x y],
{x, -2  Pi, 2  Pi},
{y, -2  Pi, 2  Pi},
PlotPoints -> 30,
MaxRecursion -> 4]
Trough Field 2025-06-09 2ac07
Trough Field 2025-06-09 2ac07
Plot3D[
Csc[x y],
{x, 0, 2 Pi},
{y, 0, 2 Pi},
ColorFunction -> GrayLevel,
PlotPoints -> 30,
MaxRecursion -> 4,
Mesh -> None
]

Fuzz Screen

5bw
5bw
DensityPlot[
Sin[y Sin[y]] Sin[Sin[x] Sin[y]],
{x, -4 Pi, 4 Pi},
{y, -4 Pi, 4 Pi},
ColorFunction -> Function[x, Hue[0, x, 1]],
PlotPoints -> 30,
MaxRecursion -> 4]
Fuzz Screen 2025-06-09 2adf3
Fuzz Screen 2025-06-09 2adf3
Plot3D[
Sin[y Sin[y]] Sin[Sin[x] Sin[y]],
{x, -4 Pi, 4 Pi},
{y, -4 Pi, 4 Pi},
ColorFunction -> Hue,
PlotPoints -> 30,
MaxRecursion -> 4
]

Sharp Cuts

6bw
6bw
DensityPlot[Tan[ Sin[x]/x] Tan[ Tan[x] Tan[y]]
,{x,10 Pi, - 10 Pi},{y,10 Pi, - 10 Pi}]

Explode Freeze

7bw
7bw
DensityPlot[Tan[ x/y] Tan[ Tan[x] Tan[y]]
,{x,10 Pi, - 10 Pi},{y,10 Pi, - 10 Pi}]

Razor Sharp

8bw
8bw
DensityPlot[Sin[x y] Tan[ y ]
,{x,10 Pi, - 10 Pi},{y,10 Pi, - 10 Pi}]

Hyperbolic Wave

9
9
DensityPlot[x y ,{x,10 Pi, - 10 Pi},{y,10 Pi, - 10 Pi}]

(* RGBColor[0.5, Abs[Sin[#]], Abs[Sin[#]]]& *)

Morie

morie
morie

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