The Great Hexacronic Icositetrahedron, also known as a "great hexacronic icositetrahedron" or "great hexacronic icosahedron," is a type of convex uniform hyperbolic polyhedron. It belongs to the family of polyhedra that can be described using a system of vertices, edges, and faces in higher-dimensional space.
The great icosidodecahedron is a convex Archimedean solid and a type of polyhedron. It is characterized by its unique arrangement of faces, vertices, and edges. Specifically, the great icosidodecahedron has: - **62 faces**: which consist of 20 regular hexagons and 12 regular pentagons. - **120 edges**. - **60 vertices**.
The term "gyrate rhombicosidodecahedron" refers to a specific type of convex polyhedron that is a variation of the rhombicosidodecahedron. A rhombicosidodecahedron is one of the Archimedean solids, characterized by its 62 faces, which include 20 equilateral triangles, 30 squares, and 12 regular pentagons. It has 60 edges and 20 vertices.
A bilge pump is a device used to remove water that has accumulated in the bilge of a boat or ship. The bilge is the lowest compartment of a vessel's hull, where water typically collects due to leaks, waves, or rain. Bilge pumps are essential for maintaining the buoyancy and stability of the vessel, preventing unwanted water from causing damage or capsizing.
A pentadecahedron is a 3-dimensional geometric shape that has 15 faces. In geometry, polyhedra are categorized by the number of faces, and a pentadecahedron specifically consists of 15 polygonal faces. The exact configuration of these faces can vary, as there are different types of pentadecahedra, depending on the arrangement and shape of the polygons used (triangles, quadrilaterals, etc.).
A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagonal bases connected by five rectangular lateral faces. It is a type of prism, which means that its cross-section (the shape of the base) is constant along its height. Here are some key characteristics of a pentagonal prism: 1. **Bases**: There are two pentagonal bases situated parallel to each other.
The term "prismatic compound of antiprisms" typically refers to a configuration that combines features of antiprisms with some aspects of prismatic structures. Antiprisms are polyhedra consisting of two parallel polygonal faces (the "bases") connected by an alternating band of triangular faces.
A rectified truncated icosahedron is a geometric shape derived from a truncated icosahedron. To understand its construction: 1. **Truncated Icosahedron**: This is one of the Archimedean solids and is made by truncating (cutting off) the corners of a regular icosahedron, which means replacing each vertex with a face that is a regular polygon.
The small ditrigonal icosidodecahedron is a type of Archimedean solid, a category of convex polyhedra that have identical vertices and faces made up of two or more types of regular polygons. Specifically, the small ditrigonal icosidodecahedron features: - **Faces**: It has 62 faces composed of 20 equilateral triangles, 12 regular pentagons, and 30 squares.
A square bifrustum is a three-dimensional geometric shape, typically associated with the field of geometry, particularly in the study of polyhedra. It can be understood as a variation of a frustum, which is a portion of a solid (usually a cone or a pyramid) that lies between two parallel planes cutting through it.
A truncated cuboctahedral prism is a three-dimensional geometric shape derived from the cuboctahedral prism, which is itself formed by stacking two truncated octahedral shapes. To break it down further: 1. **Cuboctahedral Prism**: This is a prism whose bases are cuboctahedra.
The truncated great icosahedron is a type of Archimedean solid, which is a category of polyhedra that are highly symmetrical, convex, and composed of regular polygons. Specifically, the truncated great icosahedron can be understood as follows: - **Basic Definition**: It is formed by truncating (cutting off) the vertices of a great icosahedron.
The truncated triakis icosahedron is a convex Archimedean solid, a polyhedron that can be constructed by truncating (or slicing off the corners of) the triakis icosahedron. The triakis icosahedron itself is a non-convex polyhedron that can be thought of as an icosahedron where each triangular face has been replaced by three additional triangular pyramids.
The Spiral of Theodorus, also known as the square root spiral or the spiral of square roots, is a mathematical construct that visually represents the square roots of natural numbers. It is named after the ancient Greek mathematician Theodorus of Cyrene, who is credited with demonstrating the irrationality of the square roots of non-square integers.
JSON-LD (JavaScript Object Notation for Linked Data) is a lightweight Linked Data format that is primarily used to serialize Linked Data in a way that is easy for humans to read and write, while also being machine-readable. It is based on JSON (JavaScript Object Notation), which is a widely used data format that is easy to understand and use in web development.
Mary Hesse (1934–2020) was a British philosopher of science known for her significant contributions to the philosophy of science, particularly the philosophy of physics and the relationship between science and the humanities. She is best known for her work on the nature of scientific theories, models, and the implications of scientific knowledge for understanding the world. Her influential book "Revolutions and Reconstructions in the Philosophy of Science" discusses the interplay between scientific development and philosophical thought.
In mathematics, the term "support" generally refers to the closure of the set of points where a given function is non-zero.
Depleted zinc oxide (DZO) typically refers to a form of zinc oxide that has undergone a process to reduce the concentration of certain isotopes or impurities, particularly the radioactive isotopes of zinc. This process is often applied in various industrial and scientific applications. In the context of nuclear science, depleted zinc oxide can be used in radiation detection and shielding due to its favorable properties.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





