Explore Sierpinski through 10+ example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Sierpinski in a sentence
Sierpinski meaning
A surname from Polish.
Using Sierpinski
- The main meaning on this page is: A surname from Polish.
- In the example corpus, sierpinski often appears in combinations such as: the sierpinski, sierpinski carpet, sierpinski triangle.
Context around Sierpinski
- Average sentence length in these examples: 22.9 words
- Position in the sentence: 7 start, 5 middle, 5 end
- Sentence types: 17 statements, 0 questions, 0 exclamations
Corpus analysis for Sierpinski
- In this selection, "sierpinski" usually appears near the start of the sentence. The average example has 22.9 words, and this corpus slice is mostly made up of statements.
- Around the word, carpet, triangle and gasket stand out and add context to how "sierpinski" is used.
- Recognizable usage signals include to the sierpinski carpet and becoming a sierpinski carpet in. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "sierpinski" sits close to words such as aadi, aakash and aayush, which helps place it inside the broader word index.
Example types with sierpinski
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
In the same paper Whyburn gave another characterization of the Sierpinski carpet. (12 words)
Sierpinski space is an example of a normal space that is not regular. (13 words)
The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński in 1916. (14 words)
Life of Sierpinski Sierpinski square, a fractal In 1907 Sierpiński first became interested in set theory when he came across a theorem which stated that points in the plane could be specified with a single coordinate. (36 words)
Sierpinski triangle using an iterated function system Arrowhead curve Construction of the Sierpiński arrowhead curve Another construction for the Sierpinski triangle shows that it can be constructed as a curve in the plane. (33 words)
Wallis sieve A variation of the Sierpinski carpet, called the Wallis sieve, starts in the same way, by subdividing the unit square into nine smaller squares and removing the middle of them. (32 words)
Example sentences (17)
Life of Sierpinski Sierpinski square, a fractal In 1907 Sierpiński first became interested in set theory when he came across a theorem which stated that points in the plane could be specified with a single coordinate.
Sierpinski triangle using an iterated function system Arrowhead curve Construction of the Sierpiński arrowhead curve Another construction for the Sierpinski triangle shows that it can be constructed as a curve in the plane.
However, in 1958 Gordon Whyburn citation uniquely characterized the Sierpinski carpet as follows: any curve that is locally connected and has no 'local cut-points' is homeomorphic to the Sierpinski carpet.
The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński in 1916.
We can use this theorem to compute the Hausdorff dimension of the Sierpinski triangle (or sometimes called Sierpinski gasket).
For example, the disjoint union of a Sierpinski carpet and a circle is also a universal plane curve.
However, by the results of Whyburn mentioned above, we can see that the Wallis sieve is homeomorphic to the Sierpinski carpet.
In the same paper Whyburn gave another characterization of the Sierpinski carpet.
More precisely, the limit as n approaches infinity of this parity -colored 2 n -row Pascal triangle is the Sierpinski triangle. citation.
Sierpinski space is an example of a normal space that is not regular.
The complement of the large circles is becoming a Sierpinski carpet In nature Close-up of a Romanesco broccoli further Self-similarity can be found in nature, as well.
The first few steps starting, for example, from a square also tend towards a Sierpinski triangle.
The Sierpinski carpet can also be created by iterating every pixel in a square and using the following algorithm to decide if the pixel is filled.
The time-space diagram of a replicator pattern in a cellular automaton also often resembles a Sierpinski triangle. citation.
This is clear in the case of the Sierpinski gasket (the intersections are just points), but is also true more generally: Theorem.
This 'universality' of the Sierpinski carpet is not a universal property in the sense of category theory: it does not uniquely characterize this space up to homeomorphism.
Wallis sieve A variation of the Sierpinski carpet, called the Wallis sieve, starts in the same way, by subdividing the unit square into nine smaller squares and removing the middle of them.
Common combinations with sierpinski
These word pairs occur most frequently in English texts: