Used in conventional parametric CAD/CAM systems, general B-splines are not adequate for aesthetic requirements. Except for the straight line and circle, monotonic curvature distribution, associated ...

Essentially, a Bézier curve is described by a parametric equation. This might sound scary, but it simply means we use one variable (usually called t) to represent each point on the curve. For a cubic ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – ...

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Pull requests help you collaborate on code with other people. As pull requests are created, they’ll appear here in a searchable and filterable list. To get started, you should create a pull request.

Using advanced mathematical tools inspired by physics, the team has derived a general equation for any number of tangent circles, offering fresh insights into an equation originally proposed by ...

Credit: Journal of Geometry and Physics, 10.1016/j.geomphys.2025.105458 Monash University researchers have extended Descartes’ Circle Theorem by finding a general equation for any number of tangent ...

(a) Dense matrices. Variables are often encoded as dense numerical arrays M i,j = M[i,j]. This representation is convenient and well-supported, but also puts a heavy load on the memories of our ...