### Arizona Desert z = (x-y)/(sin(x)+1/cos(y))

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Reminds me of Sedona, and all the westerns filmed there.

### Bamboo Forest Density plot: z = sin(2x)-cos(x/2)+tan(x)

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It took a long time to find just the right zoom on this one.

Notice the extreme scale. In the end, I went north of 10^120 before being satisfied that I'd found the best possible zoom.

Apparently, working with numbers 100 times larger than a trillion-trillion-google was a bit too much for the software. I broke Grapher in the process, and will have to reinstall it.

Worth it!

### Bed o' Nails z = sin(4y)+cos(4x)

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Looks like nails. Actually, this is the simple egg carton plot graphed at a different scale.

### Black and White Julia Found online.

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Removing color enhances detail.

### Blue Signal Density plot: z = sin(x)^2*cos(y)^2

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Simple expressions with interesting graphs are the best.

"Things should be as simple as possible, but no simpler."

### Carpet rtan(sin(x)+cos(y))^2 < xlog(y)

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Reminds me of a rug design, somehow.

### Celery Row z = sin(x)cos(y)/(x-y)

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Mathematical veggies.

### Cells Under Magnification Density plot: z = sin(ncos(x+y)/tan(xy))

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Note the intricate complexity of material within cell walls (like real cells).

### Convergence y = kx/3
k = 1..18

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Dirt-simple linear equations. Interesting effect.

[Idea borrowed from another math artist; I've forgotten who.]

### Corrugated V-Roof z = abs(sin(2x)-y)

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Like the inexpensive, corrugated metal roofs covering many Balinese homes, including that of my in-laws.

### Curtains tan(x)cos(rysin(x)) < xcos(y)

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At the opera ...

Plush.

### Dangling Green Density plot: z = tan(x)sin(y)cos(xy)

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Houseplants?

Really like this one. Curious mid-century aesthetics. Reminds me of "cartoon art" of the 1960's.

### Diffraction 1 cot(sin(xy)) < atan(cos(xy))

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Interesting diffraction effects caused by the limited resolution of the graphing tool.

### Diffraction 3 Density plot: z = 0.5sin(xyarctan((x/y)tan(x/y)))

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A complex expression. Zooming out creates a series of interesting diffraction patterns.

### Dimpled Vase z^2 = x^6-x^2+y^6+y^2

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I was utterly surprised by this plot. Reminds me of ceramic art.

### Double-Back r = t^2-t
𝜃 = tsin(t)
t = 0..40

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Intriguing variation on the spiral theme.

### Dripping Paint tan(.5ycos(x)) ≤ -cos(sin(y-2x))

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I owned and operated a house painting business as a young man. Before sprayers, it was all rollers and brushes. Dried drips were a scourge.

Shaded areas of the plot above were too complex for Desmos to graph. Makes a nice effect.

### Egg Carton z = sin(x/2)+cos(y/2)

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Who doesn't like eggs?

### Egg Carton Contours Contour plot: z = tan(xy)sin(y)cos(x)

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4-up collage of egg carton contour plots.

### Electric Rain 1 Density plot: z = sin(x)+cos(3x+y)

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One problem with Grapher is that it's a bit unstable. Changing window dimensions will force a recalculation, and you end can end up with a completely different picture, unable to return to the original.

Such was the case with this relation, but I ended up with a couple of nice plots, anyway.

### Electric Rain 2 Density plot: z = sin(x)+cos(3x+y)

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A different zoom.

### Eye of Red cos(ry^2+x^2) < 0

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Had to use a close zoom, otherwise the shimmering effect was too annoying. As it is, it's just stimulating enough.

### Green and Blue Found online.

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A common fractal with unusual and beautiful coloring.

### Green Belt Density plot: z = y(arcsin(cos(x^2)))+x(arccos(y^2))

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Nice point symmetry.

### Green Checkers Density plot: z = tan(xy)sin(y)cos(x)

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Anyone for checkers?

### Green Longhorn Density plot: z = arcsin(ncos(x)+y)/tan(7.1xy)

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Exquisitely symmetrical.

### Grey Vibrations ycos(x) ≤ xcos(y)

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I wish this thing would hold still ...

### Hand-Drawn Hilbert Found online.

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You can draw fractals by hand, if you have the patience. The Hilbert Curve above is one continuous line. (Can you find its endpoints?)

Lots of us doodle using fractal designs, for instance. (Do you?)

### Laser-Etched LP Density plot: z = sin(x)^2-cos(y)^2

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Reminds me of the laser-etched version of the True Colours LP released by New Zealander pop group Split Enz in 1980.

An awesome record, both musically and physically. When light shined on the rotating lp, the reflected laser-etched designs would dance around the room.