Tangential Quadrilateral -- from Wolfram MathWorld
A quadrilateral which has an incircle, i.e., one for which a single circle can be constructed which is tangent to all four sides. Opposite sides of such a quadrilateral satisfy s=a+c=b+d, (1) where s=1/2(a+b+c+d) (2) is the semiperimeter, and the area is A=rs, (3) where r is the inradius. Using Bretschneider's formula together with (1) and (3) then gives the beautiful formula r = (sqrt(4p^2q^2-(a^2-b^2+c^2-d^2)^2))/(2(a+b+c+d)) (4) = (sqrt(p^2q^2-(a-b)^2(a+b-s)^2))/(2s), (5) ...
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The superellipsoid is a generalization of the ellipsoid by allowing different exponents of the variables in the algebraic representation. It is similarly a generalization of the superellipse to three dimensions. The version called the superquadratic ellipsoid is defined by the equation (|x|^(2/e)+|y|^(2/e))^(e/n)+|z|^(2/n)=1, where e and n are the east-west and north-south exponents, respectively. This superellipsoid can be rendered in POVRay® with the command superellipsoid{...
Speeding up IntelliJ, WebStorm, and other JetBrains products | by Zack Jackson | Medium
Once you step into the realm of multi-project development, large scale dev, or just have to have like 6 IDE’s open. You really start to feel a performance hit on JetBrains IDEs. The recommended way…