In poker, "steal" refers to a strategy where a player attempts to win the pot by making a bet or raise when they believe their opponents are likely to fold, rather than because they have a strong hand. This tactic is commonly employed during the late stages of a tournament or in a cash game, particularly when the blinds are high and players may be more inclined to conserve their chips.
An excavated dodecahedron is a geometric shape derived from a regular dodecahedron, which is a three-dimensional polyhedron with twelve flat faces, each of which is a regular pentagon. The term "excavated" typically refers to the process of removing material from the solid, resulting in a polyhedron that has indentations or cavities.
A bifrustum is a geometric shape that can be considered as a variant of a frustum. Specifically, it is formed by taking two frustums of identical cross-sectional shapes and placing them back to back. Each half of a bifrustum resembles a frustum, which is the portion of a solid (typically a cone or pyramid) that lies between two parallel planes.
A prismatoid is a specific type of polyhedron that can be considered as a generalized prism. In geometry, a prismatoid is defined as a three-dimensional solid that has two parallel faces (called bases) that can be any polygon and all other faces that are trapezoidal or triangular. Essentially, it has a structure where the top and bottom faces are connected in such a way that they aren't necessarily congruent or identical in shape.
The compound of five small rhombihexahedra is a complex geometric arrangement that consists of five small rhombihexahedra, which are dual to the cuboctahedron. Each rhombihexahedron is a polyhedron with 12 faces (6 rhombic and 6 square), and when combined in this compound, they create an intricate mathematical structure.
The Icosian Game is a mathematical and combinatorial puzzle created by the British mathematician Sir William Rowan Hamilton in 1857. It involves finding a Hamiltonian path or cycle in a polyhedron's graph structure, specifically related to the vertices of an icosahedron. In the game, players are tasked with finding a route that visits each of the 12 vertices of a regular icosahedron exactly once and returns to the starting point.
The term "compound of ten octahedra" typically refers to a geometric arrangement or a polyhedral combination involving ten octahedra. In geometry, a compound is a three-dimensional shape formed from two or more shapes that coexist in a specific spatial arrangement. One common example of a compound of octahedra is the arrangement known as the "octahedral compound," which consists of two interpenetrating octahedra.
A **kaleidocycle** is a type of geometric object that is part of the broader family of polyhedral structures. Specifically, it is a cyclic mechanism made up of multiple triangular faces arranged in a way that allows the entire structure to rotate continuously in a looping motion without falling apart. The most common form of a kaleidocycle consists of several rigid triangles connected at their edges, forming a polyhedral shape that can be manipulated.
The compound of twenty octahedra is a geometric arrangement made up of 20 individual octahedral shapes. In a three-dimensional space, an octahedron is a polyhedron with eight faces, which are all equilateral triangles. When multiple octahedra are combined, they can create intricate structures. The compound of twenty octahedra often refers to a specific geometric construction where these octahedra are arranged in a symmetrical way.
The compound of two icosahedra is a geometric configuration formed by the intersection of two icosahedra. An icosahedron is a polyhedron with 20 triangular faces, and when two of them are combined, they can create a visually complex shape. In this specific compound, one icosahedron is typically inverted and placed within another. The resulting structure is symmetric and exhibits interesting geometric properties.
An elongated pyramid, often referred to as an "oblong pyramid," is a geometric figure that resembles a standard pyramid but has a rectangular or elongated base rather than a square one. The key characteristics of an elongated pyramid include: 1. **Base Shape**: Instead of a square base, it has a rectangular or oblong base, which means the length and width are different.
An elongated triangular bipyramid is a type of polyhedron that can be categorized as an Archimedean solid. It is formed by taking a triangular bipyramid and extending it along its vertical axis, effectively stretching it. To understand its structure, consider the following: - A standard triangular bipyramid is created by joining two tetrahedral pyramids base to base, which results in a shape that has six vertices, nine edges, and eight triangular faces.
The great deltoidal icositetrahedron is a type of convex polyhedron, more specifically one of the Archimedean solids. It is characterized by having 24 faces, of which 12 are regular octagons and 12 are equilateral triangles. Here are some key properties of the great deltoidal icositetrahedron: - **Vertices**: It has 48 vertices. - **Edges**: It features 72 edges.
Thymio is an educational robot designed to help users, especially children, learn programming, robotics, and problem-solving skills. Developed by the University of Geneva and the Thymio Project, Thymio features a user-friendly design and a variety of sensors that allow it to interact with its environment.
The great rhombidodecacoron is a convex uniform polychoron (a four-dimensional shape) in the context of higher-dimensional geometry. It is categorized under the family of Archimedean solids, specifically as a uniform spatial structure extending into four dimensions. This shape is distinguished by its vertices, edges, and faces, where it consists of 120 rhombic faces and 60 dodecahedral cells.
The great rhombic triacontahedron is a type of convex Archimedean solid, which is a class of polyhedra characterized by having regular polygons as their faces, with the same arrangement of faces around each vertex.
The great snub dodecicosidodecahedron is a type of Archimedean solid, which is a highly symmetrical, convex polyhedron with regular faces of more than one type. Specifically, the great snub dodecicosidodecahedron features: - **Faces**: It has a total of 92 faces, comprised of 12 regular pentagons, 20 regular hexagons, and 60 equilateral triangles.
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.
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.
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.
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





