Last Update 20/ 05/ 2000
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The three fold axis in the cube is studied by an interactive rotation of its projection under mouse action on the figure. This way, when the cube projection is rotated around one of its six binary symmetry axes placed on this screen's plane it enables successive orientation of four of its thirteen symmetry axes perpendicular to the mentioned binary axis. The binary axis can be rotated displacing the Vertical Scrolling Bar (VSB) to reach any of the angles given on the table below, the second axis can be activated displacing the Horizontal Scrolling Bar (HSB) on the figure, as can be observed in the table below.
Table: VSB angle to get the orientation of the respective axis in the
HSB
| VSB=0o | VSB=55o | VSB=90o | VSB=125o | |
| Axis HSB | C4 | C3 | C2 | C3 |
When HSB activates the four fold axis (C4) only four corners of the cube will be visible, when C3 only seven corners visible and when C2 will be activated only six corners will be visible, the other corners will stay eclipsed. Other pages on symmetry axis can be consulted on the table of chemistry subjects on the bottom of this page.
The little structures at the right side of the figure can modify the cube, just pointing the cursor and click to select. Push and drag the mouse in the inner part of the cube to observe combined rotation.
Suggested activity
For each proposed structure, find the symmetry elements. Admit the blue sphere and the red sphere as different objects.
Please send your comments.
Table of subjects.