OneStone® Pebbles Cross-Sections
This Pebble creates cross-sections of a 3D surface. These cross-sections are formed
by holding either X or Y fixed at certain values and tracing the resultant curves
onto the underlying surface. In addition to changing the fixed variable, the user
may select the interval between sections, the thickness of the 3D sections, and the opacity
of the underlying surface. Controls to manipulate these parameters are found in
a new 'Cross-Sections' control group which replaces the 'Colors' group in the standard
Pebbles User Interface; the color
controls have been moved to the main menu. The basic Pebble functionality is still
in place; expressions may be entered in the text box at upper left and constants
in the expression may be varied in real time with the main slider control, as described
here.
This Pebble accepts all the standard math
operators plus the variables X, Y, R and/or Theta. Functions are
graphed according to the following rules:
- Functions of X, Y, R, and/or Theta are drawn in 3D as the surface Z = F(X, Y, R
and/or Theta). Cross-sections are superimposed on this surface; the surface may
be made transparent leaving just the cross-sections visible.
- The 2D graph shows the locations of the cross-sections, projected onto the X-Y
plane, giving additional context to the 3D image.
NOTE: This Pebble is pre-loaded with the expression of the paraboloid Z=(X^2 + Y^2). You
may enter other expressions as described above.
Click the 'Launch...' link below to start the Cross-Sections Pebble. The process
of installing and running a Pebble for the first time is explained on the
Installing Pebbles page.
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