The truncated rhombicosidodecahedron is a type of polyhedron that is classified as an Archimedean solid. It is derived from the rhombicosidodecahedron by truncating (or slicing off) its vertices, which results in a new shape with additional polygonal faces.
The small icosihemidodecahedron is a convex Archimedean solid that belongs to a class of polyhedra known for their vertex and face transitivity. It is a type of uniform polyhedron that features a combination of pentagonal and triangular faces.
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.
The small rhombihexacron is a type of convex uniform polychoron (four-dimensional polytope) that belongs to the family of uniform polychora. In simpler terms, a polychora is a four-dimensional analog of polyhedra. The small rhombihexacron is characterized by its symmetrical properties and structure. It consists of 60 rhombic faces, which are arranged in a highly symmetrical manner.
The small rhombihexahedron is a type of Archimedean solid, which is a category of convex polyhedra with regular polygons as faces and identical vertices. Specifically, the small rhombihexahedron is characterized by having 12 faces that are all rhombuses, with the overall structure featuring 24 edges and 14 vertices. The shape can also be described as a type of polyhedron with 8 regular triangles and 6 square faces.
The small stellapentakis dodecahedron is a complex polyhedron that is classified as a stellation of the dodecahedron. It is part of a larger family of polyhedra known as "stellated" forms, which are created by extending the faces or edges of a base polyhedron to create new vertices and faces.
A tetragonal trapezohedron is a type of polyhedron that has 14 faces, all of which are kite-shaped. It belongs to the family of convex polyhedra and can be categorized as a type of trapezohedron specifically defined by its geometry. Key characteristics of a tetragonal trapezohedron include: 1. **Faces**: It has 14 faces that are all kites. This means each face has two pairs of adjacent sides that are equal in length.
The thermally induced shape-memory effect in polymers refers to the ability of certain polymer materials to "remember" a particular shape and return to that shape when subjected to a specific thermal stimulus. This phenomenon is a result of the unique molecular structure of shape-memory polymers (SMPs), which allows them to undergo significant reversible deformation upon heating and cooling. ### Key Concepts: 1. **Shape Memory Mechanism**: - Shape-memory polymers have two distinct states: a temporary shape and a permanent shape.
Topochemical polymerization is a specialized method of polymerization that involves the conversion of monomers into polymers through a mechanism that is influenced by the spatial arrangement of molecules in a solid-state or crystalline form. This process typically requires that the monomers be organized in a specific geometric arrangement, allowing for direct reactions to occur without the need for solvent, heat, or other conventional polymerization conditions.
A space-filling polyhedron, also known as a tessellating polyhedron, is a three-dimensional geometric shape that can fill space without gaps or overlaps when repeated. Essentially, when these polyhedra are arranged in a lattice or grid formation, they completely fill a volume without leaving any empty spaces. The most common example of a space-filling polyhedron is the cube, which can tile three-dimensional space perfectly.
Sphenocorona by Wikipedia Bot 0
Sphenocorona is a genus of plants in the family Cyclanthaceae. It is composed of flowering plants known for their unique morphological features and relatively limited distribution. Members of this genus are primarily found in tropical regions, particularly in Central and South America. The term "Sphenocorona" itself is derived from Greek roots, where "spheno" refers to a wedge shape and "corona" can mean crown or halo, reflecting some characteristic of the plant's structure.
Sphenomegacorona by Wikipedia Bot 0
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 triakis truncated tetrahedron is a type of Archimedean solid. It is a geometric shape that can be constructed by taking a regular tetrahedron (which has four triangular faces) and truncating (slicing off) each of its vertices.
The Tridiminished rhombicosidodecahedron is a Archimedean solid and is a form of a polyhedron that can be described as a convex geometric shape. It is derived from the rhombicosidodecahedron, which is one of the Archimedean solids known for having 62 faces: 20 regular triangles, 30 squares, and 12 regular pentagons.
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.
A truncated hexagonal trapezohedron is a type of polyhedron that can be described as a solid formed by truncating (cutting off) the corners of a hexagonal trapezohedron. A hexagonal trapezohedron is one of the dual polyhedra of a hexagonal prism. It has two hexagonal faces (one at the top and one at the bottom) and six trapezoidal faces that connect the edges of the hexagons.
Polymer science journals are academic publications that focus on research related to polymers, which are large molecules made up of repeating structural units (monomers). These journals cover a wide range of topics within the field of polymer science, including: 1. **Polymer Chemistry**: Studies related to the synthesis and characterization of polymers, including novel polymerization techniques and the development of new monomers.
Polymerization reactions are chemical processes in which small molecules called monomers link together to form larger, more complex structures known as polymers. This process is fundamental in the creation of a wide variety of materials, including plastics, rubbers, fibers, and more. There are two primary types of polymerization reactions: 1. **Addition Polymerization (Chain-Growth Polymerization)**: In this type, the monomers contain double bonds or other reactive functional groups that can react to form long chains.

Pinned article: ourbigbook/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 5. . 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.
  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