The Dragon Curve is a type of fractal that can be generated through iterative processes. It was first discovered by the mathematician John Heighway, along with his colleagues, in the 1960s. The Dragon Curve exhibits self-similarity, meaning that it looks similar at different scales. To construct a Dragon Curve, you can follow these steps: 1. **Start with a line segment:** Begin with a straight line segment, which represents the first iteration.
As of my last knowledge update in October 2021, I don't have any specific information regarding "Conrad Henfling." It's possible that it's a name of an individual, character, or something more recent that has emerged after that time.
Tantrix is a puzzle and strategy game that involves tiles featuring colored paths. Each tile is rectangular and has a combination of colors on its edges, and the objective is to create connected paths or loops of a single color. The game can be played solo or with multiple players, and it often involves spatial reasoning and planning. In addition to the original tile-based game, there are variations and extensions of Tantrix, including different game modes and challenges.
Dana S. Richards may refer to a specific individual, but without additional context, it is difficult to provide more detailed information. There are various people with that name, including professionals in different fields. If you mean a specific Dana S.
John R. Hendricks is an American entrepreneur best known for founding the Discovery Communications network, which includes the Discovery Channel. He played a significant role in the development and growth of the company, which has expanded to include various channels and multimedia platforms focused on educational content, nature, and science. Hendricks has been influential in the media and entertainment industry and has contributed to the evolution of cable television and documentary programming.
There doesn't appear to be a widely recognized figure or concept specifically known as "Michael Guy." It is possible that "Michael Guy" refers to an individual who may not be famous or well-known outside of a specific context, such as local news, a particular field, or a fictional character.
Scott Kim is an American graphic designer and artist known for his work in the fields of visual perception, puzzle design, and typography. He is particularly renowned for creating "ambigrams," which are artistic designs that can be read in multiple orientations, such as upside down or mirrored. Kim's work often explores themes of symmetry and visual illusion, blending elements of art and mathematics. He has created visual puzzles and illustrations and has published books showcasing his unique style.
As of my last knowledge update in October 2023, "Walter Trump" does not refer to any widely recognized figure or concept. It's possible that it could be a misspelling or confusion with "Donald Trump," the former President of the United States. Alternatively, it could refer to a fictional character, a less-known individual, or a term that has emerged after my last update.
In topology, a **base** for a topological space is a collection of open sets that can be used to generate the topology on that space.
The term "cut point" can refer to different concepts depending on the context, such as mathematics, statistics, and various fields of science and engineering. Here are a few interpretations: 1. **Mathematics/Graph Theory**: In graph theory, a cut point (or articulation point) is a vertex in a graph that, when removed along with its incident edges, increases the number of connected components of the graph.
Half-disk topology is a type of network topology that is used in certain wireless communication systems. It is characterized by a circular or semi-circular arrangement where devices (nodes) are positioned within a half-disk area, facilitating communication among them. In a half-disk topology, the nodes that are placed within the half-disk can communicate directly with one another if they are within range.
The Heine–Borel theorem is a fundamental result in real analysis and topology that characterizes compact subsets of Euclidean space. The theorem states that in \(\mathbb{R}^n\), a subset is compact if and only if it is closed and bounded. To elaborate: 1. **Compact Set**: A set \( K \) is compact if every open cover of \( K \) has a finite subcover.
In topology, a subset \( A \) of a topological space \( X \) is called **locally closed** if it can be expressed as the intersection of an open set and a closed set in \( X \). More formally, a subset \( A \subseteq X \) is locally closed if there exists an open set \( U \subseteq X \) and a closed set \( C \subseteq X \) such that: \[ A = U \cap C.
Parovićenko space, often denoted as \( P \), is a specific type of topological space that is used in the field of general topology. It is particularly interesting because it serves as an example of certain properties and behaviors in topological spaces. The Parovićenko space can be defined as follows: - It is a continuum, meaning it is compact, connected, and Hausdorff.
A saturated set, in the context of set theory and related fields, typically refers to a set that contains all the elements that meet a particular criterion or property defined in relation to it. The definition can vary depending on the context, but here are a couple of interpretations: 1. **In Topology**: A saturated set might refer to a set that is "closed" under taking certain types of limits or closure operations.
A **topological space** is a fundamental concept in the field of topology, which is a branch of mathematics that studies properties of space that are preserved under continuous transformations. A topological space is defined by a set of points, along with a structure that tells us how these points relate to one another in terms of "closeness" or "continuity.
A **unicoherent space** is a type of topological space that has a specific property related to its connectedness and the way it can be decomposed into its components.
The Berge knot, also known as the Berge's knot 3_1 or simply the Berge knot, is a specific type of knot in the field of topology and knot theory. It is characterized by its unique structure and properties, which make it an interesting subject of study in mathematics. The Berge knot can be described as a variation of the trefoil knot and is often represented in diagrams with specific crossings.
A Hopf manifold is a specific type of complex manifold that can be defined through the quotient of a complex vector space by the action of a group. More specifically, Hopf manifolds are obtained from the complex projective space \(\mathbb{C}P^n\) by removing a point and then taking the quotient by a specific action of a group.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact