## Analysis/Topology: Bounded and Totally Bounded Sets

Definitions Bounded set: Let <M,ρ> be a metric space. We say that the subset A of M is bounded if there exists a positive number L such that ρ(x,y)≤L  (x,y∈A) (Wikipedia) Diameter of a set: If A is bounded, we define diameter of A (denoted by diam A) as diam A=  ρ(x,y). If A is not…

## Teaching Materials: For Class X Chemistry

Dot and Cross Diagram – Animation for NaCl and MgCl2

## Animation: Dihedral Group of Order 8 – Degree 4

Teaching material: Visualization of Dihedral Group of Order 8 – Degree 4. Downloadable.

## Monohedral Convex Pentagonal Tiling: Type 2

Type 2 Monohedral Convex Pentagon Tiling with printable 3D model and teaching resources!

## Monohedral Convex Pentagonal Tiling: Type 1

Type 1 Monohedral Convex Pentagon Tiling with printable 3D model and teaching resources!

## The Mathematics of Tiling

A list of articles about the mathematics of tiling, along with teaching materials like 3D Printable Models

## Drawing: Definition of Lebesgue Outer Measure

A cartoon to help learn the definition of Lebesgue Outer Measure.

Also discusses the power of visualization in memorization and Mind Maps, Mind Palace techniques in short.

## About a few Geometric Shapes and Brachistochrone Problem

What is a Catenary Curve? In physics and geometry, a catenary is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. Catenary curves were for a long time misunderstood to be parabolas, and has a history behind this shape worth reading! (Continue reading on…

## Illustrating Simple Variation Problem

Calculus of variations is a subject where you study the extrema (maximum or minimum) of a function of functions. We know that, to find the extrema (maximum or minimum) of a “functional” of the form we first identify and substitute in Euler Equation (Or sometimes called Euler-Lagrange Equation) to obtain a Ordinary Differential Equation, solving…