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Plane Geometry
Compute properties of 2D geometric figures.
Compute properties of a plane figure:
Compute properties of a triangle with given side lengths:
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Solid Geometry
Compute properties of 3D geometric figures.
Compute properties of a geometric solid:
Compute properties of a polyhedron:
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Coordinate Geometry
Specify geometric figures by coordinates or algebraic equations.
Specify a line through two points:
Plot a conic section and identify its type:
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Geometric Transformations
Visualize and compute properties for different kinds of geometric transformations.
Visualize a rotation and compute its matrix:
Visualize a reflection in 3D:
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Curves & Surfaces
Visualize and compute properties of curves and surfaces.
Compute properties of a named curve:
Compute properties of a named surface:
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High-Dimensional Geometry
Compute properties of geometric figures with dimensions higher than three.
Compute properties of a high-dimensional geometric object:
Specify parameters for a high-dimensional object:
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Packing & Covering Problems
Determine the optimal packing of geometric figures or generate estimates using real‐life objects.
Compute properties of a geometric packing:
Specify dimensions of the container:
Estimate the number of objects required to fill a container:
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Tilings
Visualize both periodic and nonperiodic tilings.
Get information about a periodic plane tiling:
Get information about a nonperiodic tiling:
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Moiré Patterns
Visualize a moiré pattern.
Investigate interference patterns with offsets or angles:
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Polyforms
Compute properties of a class of polyforms.
Get information about a class of polyforms:
Specify the order of the polyforms:
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Topology
Compute topological properties for various kinds of geometric objects.
Compute properties of a knot:
Compute homotopy groups of a sphere:
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