Last Update 27/ 01/ 2002
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The figure shows a point in stereographic projection in a random position, over which acts the element of symmetry selected by clicking on one of the seven buttons. The result of a symmetry operation on a presented point in stereographic projection can be observed with this application.
The inversion centreI is located at the centre of the equatorial plane, that is, at the centre of the stereographic projection plane, where crosses also each one of the axes 2, 3, 4 and 6, all perpendicular to the projection plane. The symmetry plane m coincides with the stereographic projection plane and the plane m is perpendicular to the former, passing on the centre.
Observe that any point in a special location, over the element of symmetry will stay stationary, that is, the mouse click on any button will not affect it.
To obtain another initial point in a different place, click in the circle.
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