The gyroelongated pentagonal birotunda is a complex geometric shape that falls under the category of Archimedean solids. Specifically, it is a convex polyhedron that features two types of faces—pentagons and hexagons. Here are some key characteristics of the gyroelongated pentagonal birotunda: 1. **Faces**: It has a total of 30 faces—20 hexagonal faces and 10 pentagonal faces. The arrangement gives it a distinct appearance.
A gyroelongated pentagonal cupola is a type of Archimedean solid, which can be described as a polyhedron with specific characteristics. It combines two geometric shapes: a pentagonal cupola and a prism. Specifically, a gyroelongated pentagonal cupola is formed by taking a pentagonal cupola (which itself is a blending of a pentagonal pyramid and a pentagonal prism) and elongating it.
A **gyroelongated pyramid** is a type of convex polyhedron that can be classified within the category of prisms and pyramids in geometry. Specifically, it can be thought of as an extension of a pyramid. In a gyroelongated pyramid: 1. **Base**: The base is a polygon, typically a regular polygon. 2. **Apex**: It has an apex point directly above the centroid of the base, similar to a traditional pyramid.
A gyroelongated bicupola is a type of polyhedron that is part of the family of Archimedean solids. It is formed by joining two identical cupolae (which are polyhedral structures with a polygonal base and a series of triangular faces leading to a point) with a cylindrical section that is elongated around the axis of symmetry.
A gyroelongated pentagonal rotunda is a type of convex polyhedron and belongs to the broader category of Archimedean solids. Specifically, it can be described as a combination of a pentagonal rotunda and a prism.
The gyroelongated square bipyramid is a type of polyhedron that belongs to the category of Archimedean solids. Specifically, it is derived from the elongated square bipyramid, which is a bipyramid with a square base elongated by the addition of two additional square pyramidal sections. Here are some key characteristics of the gyroelongated square bipyramid: 1. **Faces**: The gyroelongated square bipyramid consists of 8 triangular faces and 4 square faces.
The Pentakis snub dodecahedron is a type of convex polyhedron and a member of the Archimedean solids. It can be described in a few ways: 1. **Description**: The Pentakis snub dodecahedron is derived from the regular dodecahedron by adding a pyramidal "cap" on each of its pentagonal faces.
A hendecagonal prism is a three-dimensional geometric shape that has two parallel faces that are hendecagons (11-sided polygons) and 11 rectangular lateral faces connecting the corresponding sides of the two hendecagons. In more detail: - **Hendecagon**: This is a polygon with 11 sides and 11 angles. Each interior angle of a regular hendecagon (where all sides and angles are equal) measures approximately 147.27 degrees.
The nonconvex great rhombicuboctahedron is a type of polyhedron that belongs to the category of Archimedean solids. It is classified as a nonconvex solid due to its shape, which includes inwardly drawn faces. ### Characteristics: 1. **Base Shape**: The nonconvex great rhombicuboctahedron has a structure that combines elements of various shapes, specifically squares and triangles.
An octagonal antiprism is a type of polyhedron that belongs to the category of antiprisms. Specifically, it is characterized by two parallel octagonal bases that are connected by a band of triangles. Here are some key features of the octagonal antiprism: 1. **Faces**: It has a total of 18 faces, consisting of 2 octagonal bases and 16 triangular lateral faces.
The term "pentagonal gyrocupolarotunda" refers to a specific type of convex uniform polyhedron in the category of Archimedean solids. It is one of the many complex shapes that can be constructed using a combination of polygons and curved surfaces. The pentagonal gyrocupolarotunda features pentagonal faces and has some unique characteristics, such as its rotational symmetry.
A hexagonal trapezohedron is a type of geometric shape, specifically a polyhedron. It is characterized by its two hexagonal faces that are connected by a series of trapezoidal faces. The hexagonal trapezohedron consists of 12 faces in total: 2 hexagonal faces and 10 trapezoidal faces. The properties of a hexagonal trapezohedron include: - **Vertices**: It has 12 vertices. - **Edges**: It has 30 edges.
The inverted snub dodecadodecahedron is a non-regular polyhedron that falls under the category of Archimedean solids. Specifically, it is a type of snub polyhedron, which features a regular arrangement of faces and vertices but does not have all faces the same or all vertices identical.
As of my last knowledge update in October 2023, "K-dron" does not appear to refer to a widely recognized concept, product, or term in popular culture, technology, or a specific field of study. It is possible that it could be a brand name, a piece of software, a gaming term, or a concept that has emerged more recently or exists in niche contexts.
The triangular orthobicupola is a type of Archimedean solid that is composed of two triangular cupolae (also known as "cupolas") joined at their bases, with a symmetry that allows for triangular and square faces. It is characterized by its geometry, which features: - **Vertices**: It has 24 vertices. - **Edges**: The solid consists of 36 edges.
The truncated square trapezohedron is a type of polyhedron that falls under the category of Archimedean solids. It is formed by truncating (or "cutting off") the vertices of a square trapezohedron, creating new faces in the process. ### Characteristics: - **Faces**: The truncated square trapezohedron has a total of 14 faces. There are 8 triangular faces and 6 quadrilateral faces. - **Vertices**: It has 24 vertices.
The truncated tetrakis cube, also known as the truncated cubic honeycomb or the cuboctahedral honeycomb, is a geometric shape that belongs to the family of Archimedean solids. It is derived from the tetrakis cube, which in turn is a variant of the cube in which each face of the cube is replaced by a pyramid (the pyramids being added to the square faces).
The medial deltoidal hexecontahedron is a type of polyhedron that belongs to the category of Archimedean solids. Specifically, it is derived from the deltoidal hexecontahedron, which is defined as a convex polyhedron with faces that are shaped like kites.
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