A compound of eight octahedra with rotational freedom refers to a geometric arrangement where eight octahedral shapes are combined in a way that allows for rotational movement around their connecting points or edges. In geometry, an octahedron is a polyhedron with eight triangular faces, 12 edges, and 6 vertices. When creating a compound of octahedra, they can be arranged to share vertices, edges, or face connections, resulting in a complex three-dimensional structure.
A compound of eight triangular prisms refers to a three-dimensional geometric figure formed by combining eight individual triangular prisms in a specific arrangement. Triangular prisms have two triangular bases and three rectangular faces connecting the bases. When creating a compound of these prisms, they can be arranged in various configurations, such as adjacent to each other, stacked, or rotated in different orientations. The exact appearance and properties of the compound will depend on how the prisms are arranged.
Tony Fabrizio is a political consultant and pollster known for his work in the field of political research and strategy. He has been involved in various political campaigns, particularly in the United States. Fabrizio is recognized for his expertise in public opinion polling and has provided services for candidates at local, state, and national levels, including presidential campaigns. He is often associated with the Republican Party and has worked with prominent candidates and organizations.
V. Lance Tarrance Jr. is a prominent American political consultant and pollster, known for his work in political strategy, campaign management, and public opinion research. He has been involved in numerous political campaigns at various levels, from local races to national elections. Tarrance is recognized for his expertise in quantitative analysis and voter behavior, providing insights that help candidates and organizations shape their strategies and messages. His contributions have made him a respected figure in the field of political consulting.
Warren Mitofsky was an American statistician and survey researcher, best known for his significant contributions to the field of public opinion polling and survey methodology. He played a key role in the development and implementation of several important election polls, including those conducted during U.S. presidential elections. Mitofsky is perhaps most famous for his work with the CBS News elections division, particularly in creating the network's exit poll system, which became a crucial tool for predicting election outcomes.
Bogovinje Municipality is a local administrative unit in North Macedonia. It is located in the Vardar region and is known for its diverse cultural heritage and communities. The municipality encompasses several villages and small towns, with Bogovinje being the administrative center. The area is characterized by a mix of ethnic groups and traditions, with a significant focus on local agriculture and rural lifestyle.
Jegunovce Municipality is an administrative region in North Macedonia. Located near the city of Tetovo, it includes several villages and is characterized by its diverse population and cultural heritage. The municipality encompasses a mix of ethnic communities, which is typical of the region. Its economy is primarily based on agriculture, and it may also benefit from proximity to Tetovo, which provides additional economic opportunities.
Tearce Municipality is an administrative region located in North Macedonia. It is part of the larger Tetovo region and encompasses the village of Tearce, which serves as its central settlement. The municipality is predominantly inhabited by ethnic Albanians, and its cultural and social dynamics are influenced by this demographic. Tearce Municipality is characterized by a mix of rural and urban areas, with agriculture being a significant part of the local economy.
Tetovo Municipality is one of the municipalities in North Macedonia, located in the northwestern part of the country. It encompasses the city of Tetovo, which serves as the administrative center. Tetovo is known for its ethnically diverse population, with significant Albanian, Macedonian, and other minority communities. The municipality has a rich cultural heritage, featuring historical sites, religious monuments, and natural beauty, including nearby mountains and outdoor recreational areas.
An apeirogonal antiprism is a type of geometric figure that belongs to the family of antiprisms, which are polyhedra formed by two parallel bases connected by triangular faces. In the case of an apeirogonal antiprism, the bases are apeirogons, which are polygons with an infinite number of sides.
An apeirogonal prism is a type of geometric figure that extends the concept of a prism to an infinite number of sides. Specifically, an apeirogon is a polygon with an infinite number of sides. Therefore, an apeirogonal prism consists of two parallel apeirogons (one serving as the base and the other as the top) connected by a series of vertical edges or faces.
The augmented dodecahedron is a type of Archimedean solid that can be described as an augmentation of the regular dodecahedron. In geometry, augmentation refers to a process where faces of a polyhedron are modified by adding new faces.
An augmented hexagonal prism is a geometric figure that is based on the structure of a standard hexagonal prism but modified by adding additional features or shapes. ### Basic Structure: 1. **Hexagonal Prism**: The standard hexagonal prism consists of two hexagonal bases connected by six rectangular lateral faces. The height of the prism is defined as the distance between the two hexagonal bases.
An augmented pentagonal prism is a type of polyhedron that is created by taking a standard pentagonal prism and adding a pyramid (or cone) on one or both of its hexagonal faces. Here are some details about the augmented pentagonal prism: - **Base Shapes**: The base of the prism consists of two pentagons, which are parallel to each other, and the sides are made up of five rectangular faces.
An "augmented sphenocorona" is a type of geometric figure that belongs to the category of polyhedra. Specifically, it is a variant of the sphenocorona—one of the Archimedean solids. The term "augmented" indicates that some vertices or faces have been altered or added to the original sphenocorona to create a new shape. A sphenocorona itself is characterized by having a combination of triangular and quadrilateral faces.
The Augmented Truncated Cube is a convex polyhedron that is categorized as an Archimedean solid. It is formed by augmenting the truncated cube, which itself is derived from truncating the corners of a cube, thereby creating additional polygonal faces. ### Description: - The Augmented Truncated Cube can be visualized as follows: - Start with a cube. - Truncate (cut off) its vertices, resulting in a truncated cube that has additional triangular faces.
The augmented truncated dodecahedron is a type of Archimedean solid. It can be described as an extension of the truncated dodecahedron by adding a pyramid (or a cone) to each of its faces. Here are some key characteristics of the augmented truncated dodecahedron: 1. **Vertices**: It has 60 vertices. 2. **Edges**: There are 120 edges.
An augmented truncated tetrahedron is a type of polyhedron formed by augmenting a truncated tetrahedron. ### Truncated Tetrahedron First, let's understand the truncated tetrahedron. It is one of the Archimedean solids and can be obtained by slicing the vertices of a regular tetrahedron. The result has: - 4 triangular faces, - 4 hexagonal faces, - 12 edges, and - 8 vertices.
The opposite of volatile memory.
The "compound of five cubes" refers to a specific geometric arrangement in three-dimensional space. It is a polyhedral structure made by combining five identical cubes in such a way that they share certain faces and vertices. Visualizing the compound, it consists of a central cube with four additional cubes attached to its faces (typically one on each face of the central cube). This arrangement creates a more complex solid that can have interesting geometric properties and symmetry.
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