Frank Morgan - Optimal Pentagonal Tilings - CoM May 2021
In 2001 Thomas Hales proved that hexagons provide the least-perimeter way to tile the plane with unit areas. Of course, among hexagons, the regular one is best. Similarly, the best quadrilateral is square and the best triangle is equilateral. But what is the best pentagonal tile? Unfortuna
From playlist Celebration of Mind 2021
Gwen Fisher - Beaded Tessellations of Polyhedra & Penrose Tilings - G4G13 Apr 2018
One can weave many things using beads and thread by placing beads on the edges and weaving each tile of beads into a loop. Many artistic examples are presented using glass and plastic beads.
From playlist G4G13 Videos
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
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 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
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
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
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
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
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
MAKING AN INTERACTIVE PENROSE TILING | Math in Dreams (PS4) | ND
The Penrose Tiling has always been a mathematical tiling that I have struggled to wrap my brain around, but I realized I might be able to build the Penrose Tiling in Dreams (PS4) instead of attempting to draw it by hand. With a bit of tinkering and after realizing building it by hand was g
From playlist The New CHALKboard
A 100 YEAR OLD PROBLEM AND ITS 15 SOLUTIONS: Pentagons and Tiling | ND
Today we look at a 100+ year old problem and its 15 solutions. The 100 year old math problem being the convex monohedral pentagonal tiling problem the only open case of the convex monohedral tiling problem. Pentagons have been a point of interest in the study of tiling for a while due to t
From playlist The New CHALKboard
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
Ayliean MacDonald - The Pentagon: A User’s Guide - CoM Oct 2021
Regular pentagons throw a spanner in the works when it comes to tessellation but don’t let that one case tarnish the good name of the pentagon! Come along as we explore the 15 irregular pentagons which do tile the plane, journey through five fold symmetry, make a quick pit stop to look at
From playlist Celebration of Mind 2021
Glen Whitney - Convex Pintegon Tilings - CoM Oct 2021
Tiling the plane with convex pentagons has a rich mathematical history in which Martin Gardner and a diverse cast of other participants play key roles. Broad audiences can appreciate the associated questions, and enjoy the beautiful images that the answers yield. All of these characteristi
From playlist Celebration of Mind 2021
Roger Penrose - Forbidden crystal symmetry in mathematics and architecture
Sir Roger Penrose provides a unique insight into the "forbidden symmetry" of his famous penrose tiles and the use of non-repeating patterns in design and architecture. It is a rigorous mathematical theorem that the only crystallographic symmetries are 2-fold, 3-fold, 4-fold, and 6-fold s
From playlist Mathematics
Evaluating an Irregular Area (3 of 3: Counting)
More resources available at www.misterwootube.com
From playlist Measuring Further Shapes
Forbidden Crystal Symmetry - Roger Penrose
Oxford Mathematics Public Lectures: Roger Penrose - Forbidden Crystal Symmetry: Mathematics and architecture World-renowned mathematician Sir Roger Penrose, Oxford University, describes how crystalline symmetries are necessarily 2-fold, 3-fold, 4-fold, or 6-fold.
From playlist The Roger Penrose Playlist
Prisms (2 of 3: Introduction and Definition of a prism)
More resources available at www.misterwootube.com
From playlist Measuring Basic Shapes