Intereting Posts

Is $\sum_{n \ge 1}{\frac{p_n}{n!}}$ irrational?
Unique manifold structure
Plücker Relations
Find the number of all subsets of $\{1, 2, \ldots,2015\}$ with $n$ elements such that the sum of the elements in the subset is divisible by 5
how to show that $\mathbb{Q}{2}]$ is a field? (by elementary means)
Derivative of $f(x)=|x|$
What are the properties of these two functions?
The kernel of the transpose of the differentiation operator – Solution check
Is it true that a space-filling curve cannot be injective everywhere?
Truth Tables for Digital Circuits
How to calculate $\lim_{n\to\infty}(1+1/n^2)(1+2/n^2)\cdots(1+n/n^2)$?
difference between linear transformation and its matrix representation .
Find the area of the following
Understanding quotient groups
Can the boy escape the teacher for a regular $n$-gon?

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?**

- Can one always map a given triangle into a triangle with chosen angles by means of a parallel projection?
- What does the locus of $M$ form?
- An alternative proof of 30-60-90 theorem/
- Estimating the volume of a tumor from x-ray scans
- Hexagonal circle packings in the plane
- Proving a property of an ellipse and a tangent line of the ellipse

- Diophantine quartic equation in four variables
- Can a $N-1$ rectifiable set be partitioned into countably many connected pieces?
- Equilateral triangle inscribed in a triangle
- A line through the centroid G of $\triangle ABC$ intersects the sides at points X, Y, Z.
- Why is Gimbal Lock an issue?
- Shortest distance between two circles
- Reflected rays /lines bouncing in a circle?
- Is there a name for the curve $t \mapsto (t,t^2,t^3)$?

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 $\frac{1}{3}\times \text{(height)}\times \text{(area of face)}$

- Calculation of $\int_0^{\pi} \frac{\sin^2 x}{a^2+b^2-2ab \cos x} dx\;,$
- Axiom of Choice Examples
- Is there a particularly simple example of geometric descent?
- Isomorphic quotient groups $\frac{G}{H} \cong \frac{G}{K}$ imply $H \cong K$?
- Is there an absolute notion of the infinite?
- Prove that $2^n+(-1)^{n+1}$ is divisible by 3.
- Is $m\mathbb{Z}$ not isomorphic to $n\mathbb{Z}$ when $m\neq n$?
- How to find a closed form solution to a recurrence of the following form?
- $\lfloor x\rfloor + \lfloor y\rfloor \leq \lfloor x+y\rfloor$ for every pair of numbers of $x$ and $y$
- How to prove the inequality between mathematical expectations?
- Ring with maximal ideal not containing a specific expression
- On the greatest norm element of weakly compact set
- Open set in a metric space is union of closed sets
- Differential Equations: solve the system
- Prove $\binom{p-1}{k} \equiv (-1)^k\pmod p$