A "List of mathematical artists" typically refers to a compilation of individuals who create art influenced by mathematical concepts, structures, or theorems. These artists often explore the intersection of mathematics and visual art, using geometry, symmetry, fractals, algorithms, and other mathematical principles in their work. Here are some notable mathematical artists: 1. **M.C. Escher** - Known for his impossible constructions and explorations of infinity, symmetry, and tessellation.

The list of regular polytopes and compounds is a classification of specific geometric structures that can exist in various dimensions. Regular polytopes are defined as symmetrical, convex polyhedra (in three dimensions) or their higher-dimensional analogs. Compounds are arrangements of two or more regular polytopes that are interpenetrating or sharing space in a symmetrical manner.

Triangle inequalities refer to a set of mathematical inequalities that describe the relationships between the lengths of the sides of a triangle. The most fundamental triangle inequalities assert that for any triangle with side lengths \(a\), \(b\), and \(c\): 1. \(a + b > c\) (the sum of the lengths of any two sides must be greater than the length of the third side) 2. \(a + c > b\) 3.

Wavelet transforms are mathematical tools used for analyzing and representing signals and data. They provide a way to decompose a signal into different frequency components at multiple scales, which makes them very useful in various applications such as signal processing, image compression, and more. Here's a list of some of the main wavelet-related transforms: 1. **Continuous Wavelet Transform (CWT)**: A transform that analyzes the signal at all scales and translations using wavelets.

Salvador Dalí was a prominent Spanish surrealist artist known for his imaginative and eccentric artworks that often explored themes of dreams, subconsciousness, and the bizarre. Born on May 11, 1904, in Figueres, Catalonia, Dalí became one of the most influential figures in 20th-century art. He is best known for his stunning and often bizarre paintings, which featured dreamlike imagery, distorted forms, and unexpected juxtapositions.

The "Self-Portrait" in the Alte Pinakothek is a painting by the Dutch artist Rembrandt van Rijn. The Alte Pinakothek is a renowned art museum located in Munich, Germany, that houses a significant collection of European masterpieces from the 14th to the 18th centuries. Rembrandt's self-portrait is one of many he created throughout his life, showcasing his mastery of light, shadow, and the human condition.

Friedrich Winkler could refer to several individuals, but one notable figure is Friedrich Winkler (1910–1992), a German geologist and a prominent researcher in the fields of geology and the Earth sciences. He is known for his contributions to the understanding of mineral resources and geological formations.

"Rhythm of Structure" can refer to different concepts depending on the context in which it's used. Here are a couple of interpretations: 1. **Architecture and Design**: In architecture and design, the "rhythm of structure" may pertain to the repetition of elements in a design that creates visual harmony and balance. This can include patterns in columns, windows, or the arrangement of materials that create a sense of movement and flow in a space.

"Live at the Sydney Opera House" is a live album by Australian singer-songwriter Kate Miller-Heidke, released in 2012. The album captures a performance at the iconic Sydney Opera House, showcasing her unique blend of pop, opera, and folk influences. It features a combination of her well-known songs as well as some new material, highlighting her vocal range and theatrical style. The album is a testament to Miller-Heidke's artistry and her ability to engage audiences in a live setting.

"Olivia's Live Hits" refers to a series of live performances or recordings featuring Olivia Newton-John, an iconic Australian singer, songwriter, and actress.

"Permutation City" is a science fiction novel written by Greg Egan, published in 1994. The book explores complex themes such as consciousness, identity, and the nature of reality, primarily through the lens of a future where digital consciousness and virtual realities are possible. The story follows a character named Paul Durham, who becomes involved in a project that allows individuals to create and inhabit digital copies of themselves in virtual environments.

Platonic solids are a special category of three-dimensional geometric shapes that have several defining characteristics: they are convex polyhedra with faces that are congruent regular polygons, with the same number of faces meeting at each vertex. There are exactly five Platonic solids: 1. **Tetrahedron**: Composed of four triangular faces, it has 4 vertices and 6 edges.