A heptagonal bipyramid is a type of polyhedron that can be categorized as a bipyramid based on a heptagonal (7-sided) base. It is formed by taking a heptagon and creating two identical pyramids that are joined at their bases. ### Properties of a Heptagonal Bipyramid: 1. **Faces**: It has 14 triangular faces. Each of the sides of the heptagon contributes two triangles, one for each pyramid.
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 gyroelongated cupola is a type of geometric shape that belongs to the family of Archimedean solids. It can be described as a convex polyhedron that combines features of two other solids: a cupola and a prism. Specifically, the gyroelongated cupola is formed by taking a cupola (which is created by connecting a base polygon to a top polygon through triangular faces) and then elongating it by joining two identical bases via a series of square faces.
Homochirality refers to the phenomenon where biological molecules, such as amino acids and sugars, exhibit a preferential uniformity in their chirality, meaning they exist in one specific enantiomeric form rather than a mixture of both. In molecular chemistry, chirality describes the property of a molecule that is not superimposable on its mirror image, much like left and right hands.
The gyroelongated square cupola is a type of convex polyhedron that can be classified as a member of the Archimedean solids. It is formed by taking a square cupola, which consists of a square base topped by two triangular faces and octagonal faces, and then elongating it by adding two square pyramids (with their bases being the octagonal faces) above and below the square cupola.
A hexagonal bifrustum is a three-dimensional geometric shape that can be described as a truncated hexagonal prism. It is formed by taking a hexagonal prism and truncating (slicing off) the top and bottom sections at an angle, resulting in two hexagonal bases that are parallel to each other, with the top base being smaller than the bottom base.
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.
The medial disdyakis triacontahedron is a geometric figure related to the disdyakis triacontahedron, which is one of the Johnson solids. A Johnson solid is a strictly convex polyhedron that has regular faces but is not uniform (meaning it does not have the same types of faces at each vertex). To break it down further: - The **disdyakis triacontahedron** itself has 32 faces: 30 triangular faces and 2 square faces.
The term "metabiaugmented dodecahedron" does not appear to correspond to any widely recognized geometric term or concept as of my last knowledge update in October 2023. However, it seems to imply a geometric figure related to the dodecahedron, a regular polyhedron with 12 pentagonal faces. The prefix "meta-" typically suggests some form of transformation or an additional layer regarding the original concept.
A pentahedron is a type of polyhedron that has five faces. The term is derived from the Greek prefix "penta-", meaning five, and "hedron," which refers to a face or surface. In three-dimensional geometry, the most common type of pentahedron is the triangular prism, which has two triangular faces and three rectangular faces. Other forms of pentahedra can include various combinations of face shapes as long as the total number of faces equals five.
The term "parabiaugmented dodecahedron" refers to a specific geometric figure that is a type of convex polyhedron. It is derived from the dodecahedron, which is a Platonic solid with 12 regular pentagonal faces. The "parabiaugmented" part of the name indicates that the dodecahedron has been modified or augmented in a specific way.
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.).
The pentagonal orthobicupola is a type of convex polyhedron that is categorized among the Archimedean solids. It can be defined by its specific geometric properties as follows: 1. **Faces**: The pentagonal orthobicupola consists of 20 triangular faces and 12 regular pentagonal faces. 2. **Vertices**: It has a total of 60 vertices. 3. **Edges**: There are 90 edges in total.
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 dodecicosidodecahedron is a type of Archimedean solid, which is a convex polyhedron with identical vertices and faces composed of two or more types of regular polygons. Specifically, the small ditrigonal dodecicosidodecahedron has a face configuration of pentagons and hexagons.
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 small dodecahemidodecahedron is a form of a polyhedron characterized by having 12 dodecahedral faces and 20 hexagonal faces, making it a member of the class of convex Archimedean solids. It is specifically classified as a "hemidodecahedron" because it has a symmetrical structure that can be thought of as a dodecahedron with additional vertices, edges, or faces.
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!
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.
Figure 3. Visual Studio Code extension installation.
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. 
- 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