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Load Points Shows a "Open file" dialog. A readable file is supposed to consist of a list of points that are separated by white spaces. A point has to be represented as a list of three coordinates that again are separated by white spaces. |
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Empty scene Deletes the current triangulation and initializes it with the empty triangulation. |
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Single point Deletes the current triangulation and computes a new triangulation of one random point. |
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Random point set Deletes the current triangulation and computes a new triangulation of 30 random points that are uniformly distributed inside the random cube. |
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Random planar point set Deletes the current triangulation and computes a new triangulation of 10 random points that are uniformly distributed inside the side of the fundamental cube of z=0. |
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Point grid Deletes the current triangulation and computes a new triangulation of a grid of 36 points. This is exactly the grid for which we know that it has a triangulation in 1-sheeted covering space. So this triangulation is the only one amongst the five initial triangulations that is represented in 1-sheeted covering. |
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Flying ball Shows a ball that flies along a constant vector through the fundamental cube to show the periodicity. |
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Pause Stops the ball. |
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Insert point Inserts a point at the current position of the ball. It does not matter whether the ball is shown or not. |
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Insert random point Inserts a point at a random position inside the fundamental cube. |
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Grab image Stores a screenshot of what is currently displayed. |
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Point location Shows the tetrahedron that currently contains the flying ball. If several periodic copies of this tetrahedron are shown then all of them will be marked. |
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Conflict region Shows the tetrahedra whose circumscribing balls currently contain the flying ball. If several periodic copies of a marked tetrahedron are shown then all of them will be marked. |
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Wireframe Draws lines and points instead of the GLU spheres and cylinders. This can accelerate the drawing of large scenes considerably. |
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Planar triangulation Shows only the simplices that are completely contained in the plane z=0. In this mode the flying ball will always be inside the plane z=0 as well as all randomly inserted points. |
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Draw 1-sheeted covering Draw each simplex exactly once, i.e. without periodic copies of itself. Note that the result of this does not necessarily show a triangulation and followingly does not necessarily correspond to the internal representation of the triangulation. This option is activated by default. |
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Draw bordering cells multiply Draw all simplices that have a non-empty intersection with the fundamental cube. This option is activated by default. |
Draw segments Decide per segment whether or not to draw a simplex. This uses the Periodic_segment_iterator. | |
Draw triangles Decide per triangle whether or not to draw a simplex. This uses the Periodic_triangle_iterator. | |
Draw tetrahedra Decide per tetrahedron whether or not to draw a simplex. This uses the Periodic_tetrahedron_iterator. This is the default. | |
Draw domain (cube/square) Toggle the drawing of the fundamental cube or square in case of a planar triangulation. | |
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Clip along the cube/square Toggle clipping of simplices that are outside of the fundamental cube or square in case of a planar triangulation. |
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2-color clipping Show the clipped part of edges in a different color. This option is only active if clipping takes place. |