Euclidean tilings | Types of polygons

Planigon

In geometry, a planigon is a convex polygon that can fill the plane with only copies of itself (isotopic to the fundamental units of monohedral tessellations). In the Euclidean plane there are 3 regular planigons; equilateral triangle, squares, and regular hexagons; and 8 semiregular planigons; and 4 demiregular planigons which can tile the plane only with other planigons. All angles of a planigon are whole divisors of 360°. Tilings are made by edge-to-edge connections by perpendicular bisectors of the edges of the original uniform lattice, or centroids along common edges (they coincide). Tilings made from planigons can be seen as dual tilings to the regular, semiregular, and demiregular tilings of the plane by regular polygons. (Wikipedia).

Planigon
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Cycloid

#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)

From playlist Miscellaneous

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Mathigon Demo (1)

Mathigon (found at mathigon.org) is one of my new favorite apps. Check it out to see what it can do!

From playlist Mathigon Demos and Ideas

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What's an Octagon? Geometry Terms and Definitions

An introduction to the octagon, a fundamental geometric shape. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patre

From playlist Socratica: The Geometry Glossary Series

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Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

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7A_1 Linear Algebra Definitons

Definitions used in linear algebra

From playlist Linear Algebra

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Dodecagon | Dual graph | Homotopy | List of k-uniform tilings | Dodecagram | Crystallography | Convex polygon | Dyadic rational | John Horton Conway | Prototile | Circle packing | Incircle and excircles of a triangle | Archimedean solid | Polygram (geometry) | Demiregular tiling | Euclidean tilings by convex regular polygons | Equilateral triangle | Incenter | Prismatic pentagonal tiling | Square | Hendecagon | Dihedral group | Wallpaper group | Heptagon | 3-4-6-12 tiling | Hexagonal tiling | Tangential quadrilateral | Similarity (geometry) | Bisection | Conway polyhedron notation | Stereohedron | Branko Grünbaum | Geometry | Regular polygon | Dual polyhedron | Centroid | Square tiling | List of Euclidean uniform tilings | Catalan solid