A parabiaugmented hexagonal prism is a type of polyhedron that is derived from a hexagonal prism by adding two additional faces based on parabolic shapes. The base of the prism consists of two hexagonal faces connected by six rectangular faces, similar to a standard hexagonal prism. The term "parabiaugmented" indicates that the top and bottom hexagonal faces are augmented or extended with parabolic shapes.
The pentagonal orthobirotunda is a type of convex polyhedron in geometry. Specifically, it is one of the Archimedean solids, characterized by its vertex configuration and symmetry. Here are some key features of the pentagonal orthobirotunda: 1. **Faces**: It has 20 faces comprised of 10 triangles and 10 pentagons. 2. **Vertices**: The orthobirotunda has 30 vertices.
A prismatic compound of prisms refers to a geometric arrangement or structure made up of multiple prisms that interact with light in interesting ways. In optics, a prism is a transparent optical element that refracts light. When multiple prisms are combined, they can create a prismatic compound that manipulates light in complex ways, potentially leading to various optical effects, such as dispersion (separating light into its constituent colors), total internal reflection, or altering the direction of light beams.
A triangular cupola is a type of geometric shape categorized as a polyhedron. It is part of a family of shapes known as cupolas, which are constructed by connecting two bases—one being a polygon and the other a similar polygon that is either translated or shifted vertically. In the case of a triangular cupola, the two bases are triangles.
The small rhombidodecahedron is a convex Archimedean solid. It is one of the Archimedean solids characterized by having regular polygonal faces and symmetrical properties. Specifically, the small rhombidodecahedron has: - **Faces**: It features 62 faces, composed of 12 regular pentagons and 50 regular hexagons. - **Edges**: It has 120 edges. - **Vertices**: There are 60 vertices.
Sphenomegacorona is a term that does not appear to be widely recognized in established scientific literature or common terminology. As of my last update in October 2023, it is possible that it could refer to a newly discovered species, classification, or concept in a specific field, such as biology, paleontology, or even an entirely different context.
A triakis tetrahedron is a type of polyhedron that can be considered a variation of a tetrahedron. Specifically, it is formed by taking a regular tetrahedron and adding a triangular pyramid (or tetrahedral apex) to each of the faces of the original tetrahedron. The key characteristics of a triakis tetrahedron include: 1. **Vertices, Edges, and Faces**: The triakis tetrahedron has 12 edges, 8 faces, and 4 vertices.
The tetrakis cuboctahedron is a polyhedral structure that is derived from the cuboctahedron, which is a convex Archimedean solid. The cuboctahedron is characterized by having 8 triangular faces and 6 square faces, with a total of 12 edges and 12 vertices. To form the tetrakis cuboctahedron, each face of the cuboctahedron is subdivided such that pyramids are placed on its faces.
The trigyrate rhombicosidodecahedron is a type of convex polyhedron that is part of a broader category of geometrical shapes known as Archimedean solids. Specifically, it is a modified version of the rhombicosidodecahedron, which itself is one of the 13 Archimedean solids.
Polymers are large molecules composed of repeating structural units called monomers, which are covalently bonded together. The process of forming polymers from monomers is known as polymerization. Polymers can be naturally occurring or synthetic, and they play vital roles in both biological systems and industrial applications.
Carothers' equation is a mathematical expression used in the field of polymer chemistry to describe the molecular weight of a polymer formed through step-growth polymerization. Specifically, it relates the degree of polymerization (DP) to the extent of reaction (p) of the monomers involved in the polymerization process.
Chain walking is a term that can refer to different concepts depending on the context. In general, it might refer to: 1. **In Exercise or Fitness Context**: Chain walking could refer to a form of exercise that involves walking while using a chain or resistance tool to enhance strength training or endurance activities. 2. **In Engineering or Robotics**: It might describe a method or technique used in robotic movement or mechanisms that involve chains for locomotion.
The degree of polymerization (DP) is a measure that indicates the number of repeating units in a polymer chain. It is essentially the number of monomeric units that are joined together to form a larger polymer molecule. The DP can provide insights into the properties of the polymer, such as its molecular weight, physical characteristics, and performance in applications.
"Macromolecules" is a scientific journal that publishes research articles and reviews in the field of polymer science and macromolecular chemistry. It is recognized for contributing to the understanding of the chemistry, physics, and engineering of macromolecules, including synthetic and natural polymers.
Self-healing hydrogels are a class of materials that can autonomously repair themselves after damage, maintaining their functionality and integrity over time. These hydrogels are primarily composed of polymer networks that can recover from mechanical injuries or environmental stressors through various chemical or physical mechanisms.
Reversible-deactivation radical polymerization (RDRP) is a type of controlled radical polymerization technique that allows for the regulation of polymer growth and the control of molecular weight, polydispersity, and architectures of the resulting polymers. This method addresses some of the challenges associated with traditional radical polymerization, such as the uncontrolled growth of polymer chains and the wide distribution of molecular weights.
Smart polymers, also known as responsive or stimuli-responsive polymers, are a class of polymers that can undergo significant changes in their properties or behavior in response to external stimuli. These stimuli can be physical, chemical, or biological in nature and can include factors such as temperature, pH, light, electric or magnetic fields, and chemical substances. The key characteristics of smart polymers include: 1. **Stimuli Responsiveness**: They can change their physical state or chemical properties when exposed to specific external conditions.
Aitken interpolation, also known as Aitken's delta-squared process, is a method used in numerical analysis to improve the convergence of a sequence of approximations to a limit, particularly when working with interpolation polynomials. The primary idea of Aitken interpolation is to accelerate the convergence of a sequence generated by an interpolation process.
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





