Zonenubia 3D Graphing Calculator
3D Graphing Calculator
Plot of 3D Functions
This procedure is similar to X-Y-Z Grid Plot except that instead of reading the grid values from the data matrix, it will produce its own grid from a function and intervals supplied by the user.
All controls except F(X,Y) and Plot Frequency will work in exactly the same way as they do in 3D Plots procedure. The F(X,Y) field is used for entering a formula in terms of the variables X and Y. No other variable names can be used. Either type the formula directly into the text box or double-click on it to open the Formula Editor dialogue. Plot of Functions.
The Plot Frequency control will regulate the resolution of plots. The highest resolution is obtained when this field is set to 1. In this case the function will be evaluated 50 times for each axis giving a total of 2,500 function evaluations. The lowest resolution is 10, which means that the maximum grid size 50 will be divided by 10, giving 5 polygons (or 5 bars or 5 points) for each axis.
Since computing the grid elements from the supplied function may be a time consuming process, it will not be repeated whenever a graph property is changed. For instance the grid will not be recomputed if changes are made in the main title, sub title, X, Y and Z axis labels, minimum, maximum and interval values of the Z axis, type, rotation, grid and colours fields. If changes are made in one of minimum, maximum X or Y-axis values, the definition of function or the Plot Frequency, then the whole grid will be recomputed.
All Available Functions
Operators
Addition operator
+
Subtraction operator
-
Multiplication operator
*
Division operator
/
Exponent (Power) operator
^
Base operator
_
Functions
Square Root of a value or expression.
sqrt
sine of a value or expression
sin
cosine of a value or expression
cos
tangent of a value or expression
tan
inverse sine (arcsine) of a value or expression
asin
inverse cosine (arccos) of a value or expression
acos
inverse tangent (arctangent) of a value or expression
atan
Hyperbolic sine (sinh) of a value or expression
sinh
Hyperbolic cosine (cosh) of a value or expression
cosh
Hyperbolic tangent (tanh) of a value or expression
tanh
e (the Euler Constant) raised to the power of a value or expression
exp
The natural logarithm of a value or expression
ln
The base-10 logarithm of a value or expressioN
log
Returns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer.
floor
Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer.
ceil
Round to the nearest integer. Examples: round(-2.5) = -2, round(-0.1) = 0, round(0.1) = 0, round(2.5) = 3
round
Sign (+1 or -1) of a value or expression
sign
Absolute value (distance from zero) of a value or expression
abs
Try these awesome Graphs
Water Ripple 3D Equation
sin(10(x^2+y^2))/10
![](https://www.benjoffe.com/img/functions3d/examples/ripple.png)
Paper Plane 3D Equation
sign(x) * atan(x*80)/6 * sign(-y-x+1) * sign(-y+x+1)*5 - 1.01
![](https://www.benjoffe.com/img/functions3d/examples/paperplane.png)
Mosque Dome 3D Function
0.7/log(x^2+y^2)+.6
![](https://www.benjoffe.com/img/functions3d/examples/mosquedome.png)
Top Hat 3D Equation
(sign(0.2-(x^2+y^2)) + sign(0.2-(x^2/3+y^2/3)))/3-1
![](https://www.benjoffe.com/img/functions3d/examples/tophat.png)
Paper Plane 3D Equation
sign(x) * atan(x*80)/6 * sign(-y-x+1) * sign(-y+x+1)*5 - 1.01
![](https://www.benjoffe.com/img/functions3d/examples/windmill.png)
Intersecting Fences
0.75/exp((x*5)^2*(y*5)^2)
![](https://www.benjoffe.com/img/functions3d/examples/intersectingfences.png)
Interlock Equation
(3x/2)^4 + (3x)^4 + z^4 = 1, (3x)^4 + y^4 + (3z/2)^4 = 1, x^4 + (3y/2)^4 + (3z)^4 = 1
![](https://mzrg.com/math/grf06.png)
Scatered Equation
Cos(x) + Cos(y) + Cos(z) + Sin(x) + Sin(y) + Sin(z) = 2.2
![](https://mzrg.com/math/grf08.png)
Unamed Equation
r = Tan(17 theta) + Cot(17 theta)
![](https://mzrg.com/math/grf13.png)
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