Edmund Harriss is a mathematician known for his work in mathematical visualization, geometry, and the mathematical aspects of art and design. He has contributed to various fields, including the application of mathematics in creating visual representations and patterns. Harriss has also been involved in education and outreach, emphasizing the importance of visualization in understanding mathematical concepts.

The Sun is a nearly perfect ball of hot plasma, a luminous star at the center of our solar system. It is primarily composed of hydrogen (about 74% of its mass) and helium (about 24%), with trace amounts of heavier elements. The Sun is about 4.6 billion years old and is classified as a G-type main-sequence star (G dwarf). The Sun plays a crucial role in the solar system, providing the light and warmth necessary for life on Earth.

Ian Stewart is a British mathematician known for his work in the fields of mathematical biology, combinatorial mathematics, and number theory. He is also a prolific science communicator and author, having written numerous popular mathematics books aimed at making complex mathematical concepts accessible to a broader audience. Stewart has been associated with the University of Warwick in the UK, where he has spent much of his academic career. He is also known for his contributions to mathematical education and for his writings in various mathematical journals.

Joseph Madachy may refer to a person or entity that might not be widely recognized or documented in readily available sources. If you have more specific context or details regarding who or what Joseph Madachy refers to, I would be better able to assist you. It could pertain to a historical figure, a professional in a specific field, or another type of reference. Please provide additional information!

Leo Moser refers to a notable mathematician known for his contributions to the field of mathematics, particularly in areas related to combinatorial geometry and topology. He is known for Moser's theorem and various results involving geometric configurations.

Royal Vale Heath is a nature reserve located in England, specifically in the borough of Stockport, Greater Manchester. It is known for its diverse habitats, wildlife, and scenic landscapes. The area is typically managed for conservation and provides opportunities for outdoor activities such as walking and birdwatching.

W. W. Rouse Ball, or W. W. Rouse Ball, was a notable British mathematician and author, best known for his works on the history of mathematics. Born on March 8, 1850, and passing away on December 4, 1925, he made significant contributions to mathematical literature, particularly in the field of mathematical recreations and the history of mathematics.

Ostomachion, also known as the "Savant's Puzzle" or "Archimedes' Puzzle," is an ancient Greek dissection puzzle attributed to Archimedes. It consists of a square divided into 14 different geometric pieces, which can be rearranged to form various shapes, including a square and potentially many other configurations. The challenge of the Ostomachion is to determine the number of distinct ways to rearrange the pieces to recreate the original square, as well as other shapes.

"Cracking the Cryptic" is a popular YouTube channel and brand focused on solving and creating puzzles, primarily in the genre of logic puzzles and Sudoku variants. Founded by Simon Anthony and Mark Goodliffe, both of whom are experienced puzzle creators and solvers, the channel features videos where the hosts and occasionally guest puzzlers solve various types of puzzles, including Sudoku, cryptic crosswords, and other logic games.

In mathematics, particularly in algebraic geometry and complex geometry, a **complex surface** is a two-dimensional complex manifold. This means that it is a manifold that locally resembles \(\mathbb{C}^2\) (the two-dimensional complex space) and can therefore be studied using the tools of complex analysis and differential geometry. A complex surface has the following characteristics: 1. **Complex Dimension:** A complex surface has complex dimension 2, which means it has real dimension 4.

In mathematics, "closeness" often refers to a concept related to the distance between points, objects, or values in a particular space. It can be defined in various contexts, such as in metric spaces, topology, and real analysis.

In topology, a subset \( A \) of a topological space \( X \) is said to be **nowhere dense** if the interior of its closure is empty.

General topology, also known as point-set topology, is a branch of topology dealing with the basic set-theoretic definitions and constructions used in topology. Here’s a list of key topics typically covered in a general topology course: 1. **Topological Spaces** - Definition of topological spaces - Basis for a topology - Subspace topology - Product topology - Quotient topology 2.

Product topology is a way of defining a topology on the Cartesian product of a collection of topological spaces. It provides a natural way to combine spaces into a larger topological space while preserving the properties of the individual spaces.

The Sierpiński space is a basic example of a topological space in the field of topology. It is defined as a set \( S = \{ 0, 1 \} \) with a topology consisting of the following open sets: 1. The empty set \( \emptyset \) 2. The set \( S \) itself, which is \( \{ 0, 1 \} \) 3.

In the context of mathematics, particularly in topology and algebraic geometry, the term "finite type invariant" can refer to certain properties or characteristics associated with topological spaces or algebraic varieties. ### Finite Type Invariant in Algebraic Geometry In algebraic geometry, an invariant of a variety (or a scheme) is said to be of finite type if it can be described in a way that relates to a finite subset of some underlying structure.

The Hantzsche–Wendt manifold is a specific type of 3-manifold that serves as an example in the study of topology and geometry. It can be characterized as a compact, orientable, triangulated manifold with non-trivial fundamental group. One main feature of the Hantzsche–Wendt manifold is that it can be constructed from 3-dimensional Euclidean space and is related to the theory of solvable Lie groups.

The Property P conjecture is a concept in the field of mathematical logic and model theory, particularly related to the study of structures and their properties. It specifically deals with structures that are represented by certain kinds of mathematical objects, such as groups, ordered sets, fields, etc. While there are many different contexts in which the term "Property P" could arise, it is often associated with the idea of a certain property, "P", that might be preserved or exhibited under certain operations or transformations.

The Virtually Fibered Conjecture is a conjecture in the field of geometric topology, particularly concerning 3-manifolds. It posits that every aspherical closed irreducible 3-manifold that is not a torus or a connected sum of tori is "virtually fibered." To explain further: - A **3-manifold** is a three-dimensional topological space that locally looks like Euclidean 3-dimensional space.