In geometry, John Horton Conway defines architectonic and catoptric tessellations as the uniform tessellations (or honeycombs) of Euclidean 3-space with prime space groups and their duals, as three-dimensional analogue of the Platonic, Archimedean, and Catalan tiling of the plane. The singular vertex figure of an architectonic tessellation is the dual of the cell of catoptric tessellation. The cubille is the only Platonic (regular) tessellation of 3-space, and is self-dual. There are other uniform honeycombs constructed as gyrations or prismatic stacks (and their duals) which are excluded from these categories. (Wikipedia).
Olivia Caramello - 4/4 ntroduction to categorical logic, classifying toposes...
Introduction to categorical logic, classifying toposes and the 'bridge' technique. The ‘bridge-building’ technique: Morita-equivalences as ‘decks’ and site characterizations as ‘arches’. Some examples and applications.
From playlist Topos à l'IHES
stereolab - puncture in the radax permutation
check this out
From playlist the absolute best of stereolab
Clemens Koppensteiner: T-structures from categorical actions
Abstract: T-structures on derived categories of coherent sheaves are an important tool to encode both representation-theoretic and geometric information. Unfortunately there are only a limited amount of tools available for the constructions of such t-structures. We show how certain geometr
From playlist Algebraic and Complex Geometry
some julia dynamics combined with a rotation in the direction of mandelbrot.
From playlist Fractal
Arctan(1) + Arctan(2) + Arctan(3) = π
From playlist Trigonometry TikToks
Spherical Coordinates - Denis Potapov
This video shows some basic facts about the classical spherical coordinates in vector calculus.
From playlist Dr Denis Potapov's videos
Olivia Caramello - 2/4 ntroduction to categorical logic, classifying toposes...
Introduction to categorical logic, classifying toposes and the « bridge » technique Construction of classifying toposes for geometric theories. Duality between the subtoposes of the classifying topos of a geometric theory and the quotients of the theory. Transfer of topos‐the
From playlist Topos à l'IHES
Special Relativity F1 Relativistic Addition of Velocities
Relativistic addition of velocities.
From playlist Physics - Special Relativity
Roman Engineering: Crash Course History of Science #6
The Romans developed a lot of infrastructure like roads and aqueducts to both help their cities flourish and to... you know... be better at war. But the interesting thing about Roman Engineering is how it was almost all focused on Techne and not Episteme. In this episode of Crash Course H
From playlist History of Science
Robert Fathauer - Tessellations: Mathematics, Art, and Recreation - CoM Apr 2021
A tessellation, also known as a tiling, is a collection of shapes (tiles) that fit together without gaps or overlaps. Tessellations are a topic of mathematics research as well as having many practical applications, the most obvious being the tiling of floors and other surfaces. There are n
From playlist Celebration of Mind 2021
Eureka Math Grade 3 Module 7 Lesson 11
EngageNY/Eureka Math Grade 3 Module 7 Lesson 11 For more videos, please visit http://bit.ly/eurekapusd PLEASE leave a message if a video has a technical difficulty (audio separating from the video). Occasionally, Explain Everything will do that, requiring me to re-render the video. Duane
From playlist Eureka Math Grade 3 Module 7
The Cosmic Spiderweb: void/wall perpendicularity in (...) - M. Neyrinck - Workshop 1 - CEB T3 2018
Mark Neyrinck (Univ. of the Basque Country, Bilbao) / 20.09.2018 The Cosmic Spiderweb: void/wall perpendicularity in the adhesion model ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/I
From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology
Class 5: Tessellations & Modulars
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class introduces more examples of origami models that use a variety of techniques and media. At the end of the session, the c
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Chris Judge: Translation structures, ideas and connections
CONFERENCE Recorded during the meeting " Structures on Surfaces " the May 05, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathema
From playlist Dynamical Systems and Ordinary Differential Equations
Oct Square tessellation using pattern fill
Using pattern fill to create an octagon-square tessellation.
From playlist Inkscape for teachers
Tessellation pattern fill collection
How to use my pre-written Inkscape file of tessellations to apply a tessellation to any object as a pattern fill. Link to Tessellations file: https://drive.google.com/open?id=1CqeiXIsLu6XYBdgigR8L-H75mSSdEzxU
From playlist Inkscape for teachers
Hexagon tessellation using pattern fill
Using pattern fill to create a hexagonal tessellation.
From playlist Inkscape for teachers
This is the other case. The first one was rotation about yb and xa, or if you like x into a and y into b, this one is rotation about xb and ya or x into b and y into a. Now I have a strange feeling that there are again an inifinite number of mixed cases, but I will not think about that now
From playlist Fractal
Laura Taalman - Printing Perfect Pentagons - G4G13 Apr 2018
So we know there are 15 families of pentagonal tessellations… how do we 3D print models based on those tessellations?
From playlist G4G13 Videos