In mathematics and computing, a triangular array of numbers, polynomials, or the like, is a doubly indexed sequence in which each row is only as long as the row's own index. That is, the ith row contains only i elements. (Wikipedia).
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
👉 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
How Many Faces, Edges And Vertices Does A Triangular Prism Have?
How Many Faces, Edges And Vertices Does A Triangular Prism Have? Here we’ll look at how to work out the faces, edges and vertices of a triangular prism. We’ll start by counting the faces, these are the flat surfaces that make the shape. A triangular prism has 5 faces altogether - 2 tria
From playlist Faces, edges and Vertices of 3D shapes
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
Odd Squares as Difference of Triangular Numbers (visual proof)
This is a short, animated visual proof demonstrating how to visualize odd squares as the difference of two triangular numbers. #mathshorts​ #mathvideo​ #math​ #numbertheory #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #squares #triangula
From playlist Triangular Numbers
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
Learn how to determine the surface area of a triangular pyramid
👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b
From playlist Volume and Surface Area
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
Sum of odd integers: a generalization (visual proof)
This short animated proof demonstrates the classic sum of odds visual proof and then shows one way to extend the idea to finding sums in other polygonal arrays. Surprisingly, the natural extension to finding sums of certain entries in a triangular array yields the sequence of squares. We l
From playlist Finite Sums
Products of Odd Squares and Triangular Numbers (visual proof - updated version)
This is a short, animated visual proof demonstrating that the product of an odd square and a triangular number is the difference of two triangular numbers. #mathshorts​ #mathvideo​ #math​ #squares #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteach
From playlist Algebra
A Dozen Proofs: Sum of Integers Formula (visual proofs) #SoME2
In this video, we explore the famous formula for the sum of the first n positive integers. In particular, we present twelve proofs of the sum formula using induction, area-based techniques, combinatorial techniques, physical techniques, and by using a couple of deep theorems. All of the pr
From playlist Finite Sums
A Triangular Number Identity I (visual proof)
This is a short, animated (wordless) visual proof demonstrating an identity satisfied by the triangular numbers T(n) = 1+2+3+..._n. #mathshorts​ #mathvideo​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #finitesums #discr
From playlist Number Theory
Odd squares mod 8 and the Sum of Positive Integers (two facts from eight triangles; visual proof)
This is a short, animated visual proof demonstrating how to use eight triangular arrays to find the congruence class of odd squares modulo 8 AND how to use the same diagram to produce a formula for the sum of the first n positive integers. #mathshorts​ #mathvideo​ #math​ #numbertheory #mtb
From playlist Number Theory
A Multiplicative Triangular Number Recurrence (visual proof)
This is a short, animated visual proof demonstrating how to multiplicatively obtain the (n+1)st triangle number from the nth triangular number. #manim #math #mathvideo #mathshorts #triangularnumbers #numbertheory #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof
From playlist Number Theory
This geometry video tutorial explains how to calculate the volume of a triangular prism using a simple formula. The volume is equal to the product of the area of the base and the height of the prism. The base is the area of a triangle - it could be a right triangle, an isosceles triangle
From playlist Geometry Video Playlist
Perfect Numbers (even ones) are Triangular (visual proof) -- with bonus open problem!
This is a short, animated visual proof showing that all even perfect numbers are triangular numbers (and thus all currently known perfect numbers are triangular numbers). #math​ #euler #euclid​ #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmat
From playlist Number Theory
Get the Code: http://goo.gl/S8GBL Welcome to my Java Recursion tutorial. In this video, I'm going to cover java recursion in 5 different ways. I figured if I show it using many different diagrams that it will make complete sense. A recursive method is just a method that calls itself. As
From playlist Java Algorithms
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
Describing Sequences [Discrete Math Class]
This video is not like my normal uploads. This is a supplemental video from one of my courses that I made in case students had to quarantine. In this video, we discuss sequences. We focus on how to think about sequences and the terminology behind closed formulas and recursive formulas. We
From playlist Finite Sums