Intereting Posts

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System of Diophantine Equations
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$ 1^k+2^k+3^k+…+(p-1)^k $ always a multiple of $p$?
Closed form for definite integral involving Erf and Gaussian?
Is this map to a finite dimensional topological vector space an open map?
Is the “product rule” for the boundary of a Cartesian product of closed sets an accident?
How many subsets of $\mathbb{N}$ have the same cardinality as $\mathbb{N}$?
A Tough Problem about Residue
Behavior of holomorphic functions on the boundary of the unit disk
“Binomial theorem”-like identities
$X$ is a normed vector space and $T:X\to X$ is a function that has a closed graph, does $T$ map closed sets to closed sets?
Express $C$ in terms of the sets $A_n$
Probability that no car is parked next to a car of the same type
In arbitrary commutative rings, what is the accepted definition of “associates”?

Convex hull is defined by a set of planes (point on plane, plane normal).

I also know the plane intersections points which form polygons on each face.

**How to calculate volume of convex hull?**

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Since you have the plane intersections too, It is equivalent to the volume of a polyhedron. (the fact that yours is convex doesn’t matter).

Find a point $O$ within the hull. Then add up the volumes of the cones made by $O$ and each face. Volume of each cone is $\frac{1}{3}\times \text{(height)}\times \text{(area of face)}$

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