Intereting Posts

If $0<a<b$, prove that $a<\sqrt{ab}<\frac{a+b}{2}<b$
Closed Form Solution for Recurrence Relation
The set of differences for a set of positive Lebesgue measure
The Dihedral Angles of a Tetrahedron in terms of its edge lengths
Recognizing and Using Chaitin's Constant
What is meant by an open boundary when specifying boundary conditions of PDEs?
convergence of the iterated cosine
definition of “weak convergence in $L^1$”
Actuarial : “ Amortization – mortage”
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
Alligation or mixture
Show that the average depth of a leaf in a binary tree with n vertices is $ \Omega(\log n)$.
Where is the lost dollar?
loewner ordering of symetric positive definite matrices and their inverse
Triangle problem related to finding an area

By “voxel-based sphere” I mean a sphere made up of cubes. Sorry if that is not the correct terminology. Imagine a sphere made out of legos. Except each voxel is a cube (unlike most legos). Determining the voxel distribution to make the sphere I suppose would involve calculating the x/y/z of a position on the sphere and then ‘snapping’ it to the nearest multiple of the voxel width/height.

Here’s a calculator that can generate one:

http://neil.fraser.name/news/2006/11/17/

And here is an image of one (cross sectioned):

- Compute the rotation degrees from transformation matrix in 3D space
- Helix with a helix as its axis
- Exact sequence arising from symplectic manifold
- How do I measure distance on a globe?
- Counting number of distinct regions with intersecting circles
- Is every parallelogram a rectangle ??

Given the diameter of this voxel sphere (in number of voxels, e.g. ’20 voxels in diameter’), how can I calculate:

- The number of voxels in the sphere if it were hollow (kind of a ‘surface area’)
- The number of voxels in the sphere if it were solid (kind of a ‘volume’)

Is there a formula possible here? ðŸ™‚

- How to get the co-ordinates of scaled down polygon
- Implementation of Monotone Cubic Interpolation
- A Golden Ratio Symphony! Why so many golden ratios in a relatively simple golden ratio construction with square and circle?
- The Farmyard problem
- Euler's formula for triangle mesh
- rectangularizing the square
- How can I pack $45-45-90$ triangles inside an arbitrary shape ?
- How to draw ellipse and circle tangent to each other?
- How to compute the volume of intersection between two hyperspheres
- Does the rectangle contain the point?

- Showing when a permutation matrix is diagonizable over $\mathbb R$ and over $\mathbb C$
- How is $\dfrac1{(1-x)^5}=\sum_{n\geq0}{n+4\choose4}x^n$
- Problem 1.1.4 from “Geometry Revisited”
- Consistency strength of 0-1 valued Borel measures
- discretize a function using $z$-transform
- Factorise the number $5^{2015} – 1$ into three positive factors such that each is greater than $5^{200}$
- Prove that matrix can be square of matrix with real entries
- What does $\sum_{k=0}^\infty \frac{k}{2^k}$ converge to?
- How to calculate $\lim_{x\to 0}\left(\frac{1}{x^2} – \frac{1}{\sin^2 x}\right)^{-1}$?
- Class Group of $\mathbb{Q}(\sqrt{-47})$
- History of Dual Spaces and Linear Functionals
- Area of quadrangle
- How many permutations of $\{1,2,…n\}$ derange the odd numbers?
- “Constrained” numerical solutions of ODEs with conservation laws?
- Details about Cayley's Group Theorem