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Realistic Fractal Terrain Generation
Don't you find that typical algorithms to generate random fractal terrains are boring and not too much realistic?
Fractal terrain generation is usually implemented with some random noise function applied in a fractal way. This can be seen with the typical Di...
This is a list of notable and commonly used emoticons or textual portrayals of a writer's moods or facial expressions in the form of icons. The Western use of emoticons is quite different from Eastern usage, and Internet forums, such as 2channel, typically show expressions in their own ways. In recent times, graphic representations, both static and animated, have taken the place of traditional emoticons in the form of icons. These are commonly known as emoji although the term kaomoji is more correct.
Emoticons can generally be divided into three groups: Western or horizontal (mainly from America...
In linear algebra, a Hankel matrix (or catalecticant matrix), named after Hermann Hankel, is a square matrix with constant skew-diagonals (positive sloping diagonals), e.g.:
If the i,j element of A is denoted Ai,j, then we have
The Hankel matrix is closely related to the Toeplitz matrix (a Hankel matrix is an upside-down Toeplitz matrix). For a special case of this matrix see Hilbert matrix.
A Hankel operator on a Hilbert space is one whose matrix with respect to an orthonormal basis is a (possibly infinite) Hankel matrix , where depends only on .
The determinant of a Hankel matrix is called...
We should allow algorithm-only answers.
We currently accept code that is impossible to verify. Furthermore, we rarely actually run the code to verify anyways. Hence, the fact that it is impossible to test should be taken into consideration by the OP, but it should not prevent the OP from askin...
Is your matrix a permuted Hankel matrix?
Input: An n by n matrix M whose entries are 1 or 0
Output: A permutation of the rows and columns of M so that M is a Hankel matrix. That is it has constant skew-diagonals (positive sloping diagonals), if this is possible. Otherwise output the word "No."
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ASCII L-system renderer
code-golf fractal ascii-art
Background
An L-system (or Lindenmayer system) is a parallel rewriting system that can be easily used to model fractals. This question concerns deterministic, context-free L-systems. These consists of an alphabet of symbols, an initial axio...
In this task, we consider arrays of positive integers such as this:
3 18 321 17 4 4 51 1 293 17
The input comprises a pair of such arrays both of arbitrary, possibly distinct, positive length. Determine if a total ordering ≤X ⊂ N × N, where N is the set of positive integers, exists such that b...
Both questions tagged with the tag are closed, and unlikely to be reopened.
Since there is not currently a demand for the tag, I have removed it entirely. The zombie tag cleanup script should burninate it within the next 24 hours.
Laser in a Box
code-golfascii-art
Sometimes when I'm doodling, I draw a rectangle, start with a diagonal from one of the corners, and then just trace out a line by "reflecting" it whenever I hit a side of the rectangle. I continue with this until I hit another corner of the rectangle (and hope ...0
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