A **blind polytope** is a concept from combinatorial geometry, particularly related to the study of polytopes and their properties. In this context, a **polytope** is a geometric object with flat sides, which can be defined in any number of dimensions. The term "blind polytope" typically refers to a specific class of polytopes that share certain combinatorial properties, particularly in relation to visibility and edges.

The Butterfly curve is a well-known example of a transcendental curve in mathematics, characterized by its intricate, butterfly-like shape. It is defined using a set of parametric equations in the Cartesian coordinate system.

Cabri Geometry is a dynamic geometry software program designed for the interactive exploration and construction of geometric figures. Developed by Michel Beauduin and his team at the French company Cabri, it is widely used in education to facilitate learning and teaching of geometry concepts. Key features of Cabri Geometry include: 1. **Dynamic Construction**: Users can create geometric shapes and figures by placing points, lines, circles, and other geometric objects.

The Bevan Point is a concept in the field of economics and public policy, particularly in relation to healthcare. It is named after Aneurin Bevan, the British politician who was the Minister of Health and a key architect of the National Health Service (NHS) in the UK. The term typically refers to the principles or ideals associated with Bevan's vision for a fair and equitable healthcare system.

Biangular coordinates are a type of coordinate system used primarily in two-dimensional geometry. In this system, each point in the plane is represented by a pair of angles, rather than traditional Cartesian coordinates (x, y) or polar coordinates (r, θ). Specifically, a point is defined by two angles, (α, β), which are measured from two fixed lines or reference directions.

A semicubical parabola is a specific type of cubic curve that is defined mathematically and has interesting properties in both geometry and calculus. The general form of the semicubical parabola can be expressed with the equation: \[ y^2 = kx^3 \] where \( k \) is a non-zero constant. In this equation, the curve is defined in a Cartesian coordinate system, and it is symmetric about the y-axis.

Bonnesen's inequality is a result in geometry that relates to the area of a convex body and the distances between points in that body. More specifically, it often pertains to the geometry of convex bodies in Euclidean spaces, particularly those shapes that can be compared based on their geometric properties. One of the well-known forms of Bonnesen's inequality deals with convex sets and relates the volume (or area) and the diameter of convex bodies.

In various fields such as mathematics, computer science, and data analysis, the term "coarse function" can refer to a function that simplifies or abstracts details in order to provide a broader perspective or understanding of a system. 1. **Mathematics**: In the context of topology or measure theory, a coarse function might refer to an approximation or transformation that captures essential features of a space while ignoring finer details.

The cochleoid is a type of mathematical curve that is related to the shape of a cochlea, which is the spiral structure found in the inner ear of mammals. In mathematical terms, the cochleoid can be defined using polar coordinates.

A complex polygon is a concept that arises primarily in the context of mathematics, particularly in complex analysis and algebraic geometry. It refers to a polygon whose vertices are defined in the complex plane, where each vertex is represented as a complex number.

A **complex Lie group** is a mathematical structure that combines the concepts of Lie groups and complex analysis. Specifically, a complex Lie group is a group that is both a smooth manifold and a complex manifold, equipped with a group operation that is compatible with both the manifold structures. Here are some key points to understand complex Lie groups: 1. **Lie Groups**: A Lie group is a group that is also a differentiable manifold, meaning it has a layer of smoothness (i.e.

The Euler filter, often associated with the concept of image processing and computer vision, is a type of linear filter that is used to enhance images by preserving edges while reducing noise. The filter is named after the mathematician and physicist Leonhard Euler. While there may be several interpretations of what an "Euler filter" could be depending on the context, it's primarily known in image processing for its application in edge detection and smoothing techniques.

Victor Lomonosov can refer to different subjects depending on the context, but it's important to clarify that "Lomonosov" is often associated with Mikhail Lomonosov, a prominent Russian polymath known for his contributions to literature, science, and education in the 18th century. He made significant advancements in fields such as chemistry, physics, and literature.

Complex convexity is an extension of the concept of convexity to the complex domain. In classical convex analysis, a set \( C \subseteq \mathbb{R}^n \) is called convex if, for any two points \( x, y \in C \), the line segment connecting \( x \) and \( y \) is entirely contained within \( C \).

"Dimensions" is a term that can refer to various concepts in the context of animation, but it's not typically associated with a specific work or widely recognized concept in the industry. It could pertain to the dimensions in which an animation is created, such as 2D versus 3D animation, or the spatial dimensions involved in the storytelling of an animated piece.

The Dodecahedral Conjecture is a hypothesis in the realm of geometric and combinatorial optimization, specifically concerning the most efficient way to fill space with polyhedral shapes. Proposed by Thomas Hales, the conjecture asserts that the dodecahedron is the optimal shape for partitioning space into convex polyhedra in such a way that it minimizes the surface area while maintaining a consistent volume.

In mathematics, a conchoid is a type of curve that is defined using a fixed point and a given curve. The most common form is known as the conchoid of a curve, which is typically associated with a specific type of mathematical relationship.

In mathematics, the term "control point" often refers to specific points used in various contexts, particularly in geometry, computer graphics, and numerical methods. One of the most common usages is in relation to Bézier curves and spline curves. 1. **Bézier Curves**: Control points are used to define the shape of a Bézier curve.

Crumpling typically refers to the act of crumpling or crumpling up a material, usually paper, by twisting or compressing it, resulting in a wrinkled or folded texture. This action can be a physical manipulation of the material or used metaphorically in various contexts. In a practical sense, crumpling paper might be done to discard it, to create art, or to prepare it for recycling.

The Murakami–Yano formula is a result in differential geometry, specifically concerning the relationship between the curvature of a Riemannian manifold and the behavior of the volume of the manifold under certain geometric transformations. Named after mathematicians Hideo Murakami and Yoshihiro Yano, the formula provides a way to compute the derivative of the volume of a Riemannian manifold when the metric is varied.