Polyhedral compounds

Prismatic compound of prisms

Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of prisms sharing a common axis of rotational symmetry. This infinite family can be enumerated as follows: * For each positive integer n≥1 and for each rational number p/q>2 (expressed with p and q coprime), there occurs the compound of n p/q-gonal prisms, with symmetry group Dnph. (Wikipedia).

Prismatic compound of prisms
Video thumbnail

Volume of prisms ordering them from least to greatest

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

How to find the volume or a triangular prism

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

What is volume of a prism and how do you find it

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

Finding the volume and surface area of a rectangular prism

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

How to find the volume of a triangular prism

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

Learning to find the surface area of a rectangular prism

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

Chemistry 107. Inorganic Chemistry. Lecture 22.

UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 22. Inorganic Chemistry -- Coordination Chemistry I: Coordination Geometries View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Alan F. Heyduk. License: Creative Commons CC-BY-SA Terms of Us

From playlist Chem 107: Week 8

Video thumbnail

What is a triangular prism and how do we find the surface area

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

What is a rectangular prism

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

How to find the surface area of a triangular prism

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

Arthur-César Le Bras - Prismatic Dieudonné theory

Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo du 22 avril 2020 I would like to explain a classification result for p-divisible groups, which unifies many of the existing results in the literature. The main tool is the theory of prisms and prismatic cohomology recently developed by

From playlist Conférences Paris Pékin Tokyo

Video thumbnail

Bhargav Bhatt - The absolute prismatic site

Correction: The affiliation of Lei Fu is Tsinghua University. The absolute prismatic site of a p-adic formal scheme carries and organizes interesting arithmetic and geometric information attached to the formal scheme. In this talk, after recalling the definition of this site, I will discu

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

Video thumbnail

Bhargav Bhatt - Prismatic cohomology and applications: Crystals

February 18, 2022 - This is the second in a series of three Minerva Lectures. Prismatic cohomology is a recently discovered cohomology theory for algebraic varieties over p-adically complete rings. In these lectures, I will give an introduction to this notion with an emphasis on applicati

From playlist Minerva Lectures - Bhargav Bhatt

Video thumbnail

Takeshi Tsuji - Prismatic cohomology and A_inf-cohomology with coefficients

Similarly to crystalline cohomology theory, we give a local description of a prismatic crystal and its cohomology in terms of a q-Higgs module and its q-Dolbeault complex on a bounded prismatic envelope when the base prism is defined over the prism $Z_p[[q-1]]$. As an application, we obtai

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

Video thumbnail

Akhil Mathew - Some recent advances in syntomic cohomology (2/3)

Bhatt-Morrow-Scholze have defined integral refinements $Z_p(i)$ of the syntomic cohomology of Fontaine-Messing and Kato. These objects arise as filtered Frobenius eigenspaces of absolute prismatic cohomology and should yield a theory of "p-adic Ă©tale motivic cohomology" -- for example, the

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

Video thumbnail

Arthur Ogus - Prisms, prismatic neighborhoods, and p-de Rham cohomology

Correction: The affiliation of Lei Fu is Tsinghua University. Prismatic cohomology, as proposed by B. Bhatt and P. Scholze, provides a uniform framework for many of the cohomoogy theories involved in p-adic Hodge theory. I will focus on the crystalline incarnation of prismatic cohomology

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

Video thumbnail

Akhil Mathew - Some recent advances in syntomic cohomology (1/3)

Bhatt-Morrow-Scholze have defined integral refinements $Z_p(i)$ of the syntomic cohomology of Fontaine-Messing and Kato. These objects arise as filtered Frobenius eigenspaces of absolute prismatic cohomology and should yield a theory of "p-adic Ă©tale motivic cohomology" -- for example, the

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

Video thumbnail

Yichao Tian - Cohomology of prismatic crystals

Correction: The affiliation of Lei Fu is Tsinghua University. Prismatic crystals are natural analogues of classical crystalline crystals on prismatic sites, which were introduced by Bhatt and Scholze. In this talk, I will explain some general properties such objects on the prismatic site

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

Video thumbnail

Finding the surface area of a rectangular prism

👉 Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca

From playlist Volume and Surface Area

Video thumbnail

B. Bhatt - Prisms and deformations of de Rham cohomology

Prisms are generalizations of perfectoid rings to a setting where "Frobenius need not be an isomorphism". I will explain the definition and use it to construct a prismatic site for any scheme. The resulting prismatic cohomology often gives a one-parameter deformation of de Rham cohomology.

From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday

Related pages

Subgroup | Symmetry group | Uniform polyhedron compound | Dihedral symmetry in three dimensions | Prismatic uniform polyhedron