Cut the Cube

The applet helps observe the sections of a cube by a plane. Roughly speaking, the applet displays two objects: a cube and a plane that can be controlled with a mouse separately and also simultaneously depending on which of the "radio buttons" at the bottom of the applet is checked.

Objects can be rotated with the left button pressed or translated with the right button pressed. Pressing the left button while the Alt key is down lets one zoom in and away from an object. When the "combined" button is checked the cube will move as usual but also together with the plane.

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This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.

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Can you cut a pyramid off the cube? May the section be a square, a quadrilateral, a pentagon, a hexagon? You may want to check a couple of pages: Angles in a Cube I and Angles in a Cube II.

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