2D and 3D Graphs of Inequalities Individually and Combined

There are three CDFs shown on this webpage. The entire webpage scrolls. Each CDF also scrolls.

If you do not see any graphs below these lines of text, you need to install the free CDF player from the Wolfram website. A few things you might want to know about it first can be found at the bottom of this page.

It often crashes the first time. Try reloading. Try using a different browser if it never works (I suggest Chrome).

At the bottom of the CDFs (to the sides of the third and fourth), there is a slider to change the value of λ (the lambda sliders are separate for the two CDFs, but the same for each graph within each CDF). Below the λ slider are sliders to control the upper bound (maxλ) and step size (stepλ) of the λ slider so that you can change what you can easily visualize by dragging the bar in the λ slider. You can always type a value into the text box below a slider to make it take a specific value. The play button below the λ slider makes it change the value of λ automatically (there are also buttons to control the speed and direction).

In all graphs, c = 1 - a - b - d.

In CDFs one and two, the first four rows have the four inequalities. The left column is the 2D graph of the inequality (note the axes). The right column has the 3D graph. The fifth row has the 3D graph with all four inequalities combined.

In the first CDF, the 3D graphs are the planes showing when the inequalities holds with equality. The fifth 3D graph shows all 4 planes together.

In the second CDF, the 3D graphs are shaded where the inequalities hold. The fifth 3D graph has the polyhedron where all four inequalities hold. The sixth graph combines the planes from the first CDF with the polyhedron of the fifth 3D graph.

The third CDF has the 3D graphs from the second CDF in a more compact form. You can also change the size of the graphs using the sliders to the right. The slider "size" changes the size of the four individual inequality graphs, while the slider "sizeComb" changes the size of the combined graph.

A CDF with only the combined 3D graph with the planes and polyhedron is available here here.

Click and drag a 3D graph to rotate it.

Refresh the webpage to return everything to the initial state.