Novels about mathematics blend storytelling with mathematical concepts, often featuring mathematicians as characters or exploring themes related to mathematical ideas. Here are some notable examples: 1. **"Flatland: A Romance of Many Dimensions" by Edwin A. Abbott** - This classic novella explores dimensions and shapes through the story of a two-dimensional world inhabited by geometric figures. It serves as a satire on Victorian society and an exploration of higher dimensions.
An "impossible bottle" is a type of novelty item or magic trick where a seemingly ordinary object, such as a bottle, contains another object or a series of objects that appear to be too large to fit through the bottle's opening. Typically, this involves bending, folding, or otherwise manipulating the object in such a way that it can be inserted into the bottle, creating a visual puzzle or illusion.
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.
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.
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 Seifert-Weber space is a specific type of 3-manifold that can be constructed as a nontrivial example of a Seifert fibered space. It is particularly known for its interesting topological properties. In simpler terms, a Seifert fibered space is a 3-manifold that can be decomposed into a collection of circles (fibers) such that around each fiber, there is a well-defined surface that varies continuously.
A bus network refers to a system of interconnected bus routes that provide public transportation services within a specific area, such as a city or region. This network is designed to transport passengers efficiently from one location to another, typically serving various neighborhoods, commercial districts, schools, and other important destinations. Key components of a bus network include: 1. **Bus Routes**: These are specific paths that buses follow, often designated by numbers or letters. Routes can vary in length, frequency, and stops.
A tree network, also known as a tree topology, is a type of network architecture that resembles a hierarchical tree structure. It combines characteristics of both star and bus topologies, making it a popular choice for organizing and managing networks. ### Key Features of a Tree Network: 1. **Hierarchical Structure**: Tree networks have a root node, which is connected to one or more levels of nodes or devices, forming a branching structure.
The fiber bundle construction theorem is a fundamental result in differential geometry and algebraic topology that provides a way to construct fiber bundles from certain types of spaces. A fiber bundle is a structure that consists of a total space, a base space, a projection map, and a typical fiber that is consistent across the base space. While the theorem itself can be stated in several ways depending on context, it generally concerns the relationship between certain types of spaces and their ability to form fiber bundles under specific conditions.
The Ham Sandwich Theorem is a result in geometry that states that given \( d \) measurable sets in \( d \)-dimensional space, it is possible to simultaneously divide all of them into two equal volumes using a single hyperplane.
Albrecht Dold (1926–2021) was a prominent German mathematician known for his contributions to topology and algebraic topology. He made significant advances in various areas, including the theory of fiber bundles, homotopy theory, and the development of the Dold-Thom theorem, which relates homotopy and homology groups in algebraic topology. Dold's work has had a lasting impact on the field, and he was influential in establishing connections between different mathematical concepts.
As of my last knowledge update in October 2023, there does not appear to be any widely recognized or notable figure specifically known as "Alexander Doniphan Wallace." It's possible that he could be a private individual or a less publicly known person who might not have significant media coverage.
As of my last knowledge update in October 2021, I do not have specific information about an individual named Jennifer Schultens. It's possible she may be a private individual, or she could have become notable in some field after that date.
As of my last update in October 2021, there is no widely known public figure or significant entity by the name of Kristen Hendricks. It's possible that she may have gained prominence after that date or that she is a private individual without significant public recognition.
Richard Davis Anderson is not widely recognized in popular culture or historical contexts. There may be individuals with that name, but without further context, it’s difficult to identify who you are referring to specifically. It's possible you might be looking for information on someone who isn't very well-known or is specific to a certain field or locality.
Robert Wayne Thomason does not appear to be a widely recognized public figure or concept as of my last update. If you have a specific context or background associated with that name—such as a particular field (e.g., literature, science, etc.
William Schieffelin Claytor (1908–1967) was an American mathematician known for his contributions to topology and particularly for his work in algebraic topology and the study of topological spaces. He is perhaps best known for the Claytor-Whitehead theorem, which relates to the concept of homotopy in algebraic topology. Claytor's work has had an impact on the field, and he is remembered for his academic contributions and mentorship of students.
Hilton's theorem is a result in the field of algebraic topology, specifically concerning the relationships between the homotopy groups of spheres and certain types of function spaces. The theorem is named after the mathematician Paul Hilton. The essence of Hilton's theorem deals with the stable homotopy groups of spheres. More precisely, it states that the stable homotopy groups of spheres can be completely described using the stable homotopy type of the space of pointed maps from a sphere into a sphere.

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