Masu is a traditional Japanese unit of measurement used primarily for volume. It is typically used to measure rice and other grains, as well as liquids. The masus are often wooden or sometimes ceramic cubes with a volume of approximately 180 milliliters (mL). In addition to its use in measuring quantities, the masu has cultural significance in Japan, being associated with ceremonies and rituals, particularly in the context of sake (rice wine) serving.

The mathematics of paper folding, often referred to as "origami mathematics," encompasses various mathematical concepts, principles, and applications related to the art and science of folding paper. The study of origami has deep mathematical implications and can be applied in various fields such as geometry, algebra, and even computer science. Here are some key aspects of the mathematics of paper folding: ### 1.

Matthew T. Mason is likely a reference to a specific individual, but without additional context, it is difficult to provide precise information. Matthew T. Mason could be a figure in academia, science, technology, or perhaps even literature or other fields. If you have a particular context or domain in mind (e.g., a specific profession or contribution), please provide more details for a more accurate response.

Modular origami is a form of origami that involves assembling multiple sheets of paper into a single finished sculpture or model. Unlike traditional origami, which typically involves folding a single piece of paper into a complex shape, modular origami uses multiple pieces, often folded into the same basic unit, which are then interlocked or assembled together without the use of glue or tape.

As of my last knowledge update in October 2021, "Moneygami" isn't widely recognized as a specific term or concept in finance or popular culture. However, it sounds like a portmanteau of "money" and "origami," which could imply a few different things, such as: 1. **Creative Folding of Money**: It may refer to the art of folding currency into decorative shapes and figures, similar to origami, which is the Japanese art of paper folding.

The concept of "one thousand origami cranes," or "Senbazuru" in Japanese, is a significant cultural symbol in Japan. According to Japanese legend, if someone folds one thousand origami cranes, they will be granted a wish, often interpreted as the wish for good health, long life, or even world peace. The tradition is especially associated with Sadako Sasaki, a young girl who became a victim of the Hiroshima atomic bombing.

Origami Polyhedra Design is a field that combines the art of origami (the Japanese art of paper folding) with polyhedral geometry, focusing on the creation of three-dimensional shapes that can be folded from a flat sheet of paper. The term encompasses both the mathematical aspects of polyhedra and the artistic techniques of origami. ### Key Components: 1. **Polyhedra**: These are solid shapes with flat polygonal faces, edges, and vertices.

A paper fortune teller, also known as a cootie catcher, is a simple origami toy made from a square piece of paper that is manipulated by folding it in a particular way. It consists of four flaps that can be opened and closed, and it is typically used for entertainment and light-hearted fortune-telling. To use a paper fortune teller, a person usually follows these steps: 1. **Create the Paper Fortune Teller**: - Start with a square piece of paper.

Pureland origami is a style of origami that emphasizes folds that can be made using only straight valley and mountain folds while avoiding complex techniques such as reverse folds, twist folds, and many other advanced techniques. This approach is designed to make origami more accessible, especially for beginners or those with physical limitations. In Pureland origami, the instructions are typically clear and straightforward, using simple terminology and notations.

Shide is a traditional Japanese ritual paper streamer that plays a significant role in Shinto practices. It is typically made from white paper or rapeseed and is characterized by its zigzag or folded shape. Shide is often used as a symbol of purity and to ward off evil spirits. In Shinto shrines, shide can be found hanging from sacred objects or attached to torii gates, marking areas considered sacred.

"Sonobe" typically refers to a geometric construction technique associated with modular origami, which involves assembling unit blocks to create complex three-dimensional structures. The Sonobe unit is a specific polygon, usually made from a square piece of paper, that can be folded and assembled with other Sonobe units to form various polyhedral shapes. The Sonobe unit is comprised of a square that is folded into a specific pattern, allowing it to interlock with other units without the use of adhesive.

Washi is a traditional Japanese paper known for its unique texture, strength, and versatility. It is made from the fibers of plants such as the gampi tree, the mitsumata shrub, or the paper mulberry. The production of washi involves a labor-intensive process that includes hand-pulping and hand-pouring the paper, resulting in a product that is both highly decorative and functional.

The Yoshizawa–Randlett system is a mathematical framework used to model and analyze certain types of dynamical systems, particularly in the context of nonlinear dynamics and chaos theory. This system is named after the researchers Yoshizawa and Randlett, who contributed to the study of systems that exhibit complex behavior under specific conditions.

An affine root system is an extension of the concept of root systems, which are used in the theory of Lie algebras and algebraic groups. The affine root system is associated with affine Lie algebras, which are a class of infinite-dimensional Lie algebras that arise in the study of symmetries and integrable systems.

Al-Salam–Carlitz polynomials are a family of orthogonal polynomials that generalize the classical Carlitz polynomials. They appear in the context of q-series and combinatorial identities and are related to various areas in mathematics, including number theory and formal power series. These polynomials are typically defined in terms of parameters \( a \) and \( b \) and a variable \( x \).

Orthogonal coordinate systems are systems used to define a point in space using coordinates in such a way that the coordinate axes are perpendicular (orthogonal) to each other. In these systems, the position of a point is determined by a set of values, typically referred to as coordinates, which indicates its distance from the axes.

Associated Legendre polynomials are a generalization of Legendre polynomials, which arise in the context of solving problems in physics, particularly in potential theory, quantum mechanics, and in the theory of spherical harmonics. The associated Legendre polynomials, denoted as \( P_\ell^m(x) \), are defined for non-negative integers \( \ell \) and \( m \), where \( m \) can take on values from \( 0 \) to \( \ell \).

Bessel polynomials are a series of orthogonal polynomials that are related to Bessel functions, which are solutions to Bessel's differential equation. The Bessel polynomials, denoted usually by \( P_n(x) \), are defined using the formula: \[ P_n(x) = \sum_{k=0}^{n} \binom{n}{k} \frac{(-1)^k}{k!} (x/2)^k.

Big \( q \)-Laguerre polynomials are a specific family of orthogonal polynomials that arise in the context of \( q \)-analysis, a generalization of classical analysis that incorporates the parameter \( q \). These polynomials are particularly useful in various areas of mathematics and mathematical physics, including quantum calculus, combinatorics, and orthogonal polynomial theory.

Continuous q-Jacobi polynomials are a family of orthogonal polynomials that generalize the classical Jacobi polynomials in the context of q-analogs, which are important in various areas of mathematics, including combinatorics, number theory, and quantum calculus.