A three-dimensional edge-matching puzzle is a type of edge-matching puzzle or tiling puzzle involving tiling a three-dimensional area with (typically regular) polygonal pieces whose edges are distinguished with colors or patterns, in such a way that the edges of adjacent pieces match. Edge-matching puzzles are known to be NP-complete, and capable of conversion to and from equivalent jigsaw puzzles and polyomino packing puzzle. Three-dimensional edge-matching puzzles are not currently under direct U.S. patent protection, since the 1892 patent by E. L. Thurston has expired. Current examples of commercial three-dimensional edge-matching puzzles include the , The Enigma, Mental Misery, and Kadon Enterprises' range of three-dimensional edge-matching puzzles. (Wikipedia).
The interesting sum of three angles problem!
Three squares are placed in a row. Connect the bottom left corner of each square to the top right corner of the third square, forming angles with measures a, b, c with the horizontal. What is the sum of a, b, and c? Many people requested this problem, and I thank Roberto O. and Cardist wh
From playlist Math Puzzles, Riddles And Brain Teasers
Multivariable Calculus | Three equations for a line.
We present three equations that represent the same line in three dimensions: the vector equation, the parametric equations, and the symmetric equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Lines and Planes in Three Dimensions
Similarity in Right Triangles (I)
Link: https://www.geogebra.org/m/fswR8fRV
From playlist Geometry: Dynamic Interactives!
Multivariable Calculus | Interactions of lines in 3 dimensions.
We describe how two lines can interact in three dimensions. In addition, we give examples of intersecting, parallel, and skew lines. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Lines and Planes in Three Dimensions
What is the Third Angle Theorem of Triangles
👉 Learn about congruent triangles theorems. Two or more triangles are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The HL (Hypothenuse Leg) theorem:- The hypothenuse le
From playlist Congruent Triangles
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook â–º https
From playlist Geometry
2014 Hari Shankar Memorial lecture: "How to make sculptures of 4-dimensional things"
The Hari Shankar Memorial Lecture is an annual public lecture held at the University of Northern Iowa. Slides: https://www.math.okstate.edu/~segerman/talks/how_to_make_sculptures_of_4d_things.pdf
From playlist 3D printing
Henry Segerman - 3D Shadows: Casting Light on the Fourth Dimension - 02/11/17
Henry Segerman "3D Shadows: Casting Light on the Fourth Dimension" February 11, 2017 Wesier Hall Ann Arbor, Michigan
From playlist 3D printing
Alissa S. Crans - Twisty Mazes - CoM Apr 2021
Looking for a new direction to take your affinity for twisty puzzles? The KO Labyrinth seeks to marry the Rubik’s cube with a three-dimensional rolling marble maze as a colorful spherical puzzle with 26 chambers. Holes in the faces of the chambers allow a small ball to pass when aligned co
From playlist Celebration of Mind 2021
Shapes, faces, edges, vertices - G3
Break down of the parts of three dimensional shapes, including: cubes, right triangular prisms, rectangular prisms, cylinders, cones and square pyramids.
From playlist Geometry: 3D
Ex 5: System of Three Equations with Three Unknowns Using Elimination (Infinite Solutions)
This is the first of several examples that will show how to solve a system of three linear equations with three unknowns. The result is shows graphically in 3D. This example has infinite solutions. The solutions are expressed parametrically. Site: http://mathispower4u.com
From playlist Systems of Equations with Three Unknowns
Hannah Alpert (9/24/20): Combinatorial models of disk configuration spaces
Title: Combinatorial models of disk configuration spaces Abstract: The space of all arrangements of n disjoint disks of radius r in a polygon is hard to get our hands on. In order to approximate its geometric and topological properties, we'd like to replace it by a combinatorial model. Th
From playlist AATRN 2020
"Illustrating Geometry" exhibition at SCGP, Artist's talk: "Sculpture in four-dimensions"
Slides: http://www.math.okstate.edu/~segerman/talks/sculpture_in_4-dimensions.pdf This video is also available at the Simons Center website, at http://scgp.stonybrook.edu/archives/11540 Thanks to Josh Klein for filming and editing.
From playlist 3D printing
Dynamic Programming I - Lecture 11
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2.0/ Tutorials by Instructor: Shai Simonson. http://www.stonehill.edu/compsci/shai.htm Visit the forum at: http://www.coderisland.c
From playlist ArsDigita Algorithms by Shai Simonson
Darts in Higher Dimensions (with 3blue1brown) - Numberphile
Grant Sanderson from 3Blue1Brown joins us to discuss an intriguing puzzle with a shrinking bullseye. More links & stuff in full description below ↓↓↓ 3Blue1Brown: https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw Grant Sanderson on the Numberphile podcast: https://youtu.be/A0RH93X
From playlist Guest appearances on other channels
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
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
How To Solve Two Triangle Trigonometry Problems
This trigonometry video tutorial explains how to solve two triangle trigonometry problems. It contains plenty of examples and practice problems. My recommendation is to draw two separate triangles and use right triangle trigonometry along with SOHCAHTOA to solve for the missing sides. N
From playlist New Precalculus Video Playlist
Ex 4: System of Three Equations with Three Unknowns Using Elimination (No Solution)
This is the first of several examples that will show how to solve a system of three linear equations with three unknowns. The result is shows graphically in 3D. This example has no solution. Site: http://mathispower4u.com
From playlist Systems of Equations with Three Unknowns
No Edge 2: The Shape of the Universe (Curved Space)
´¯`·.¸¸.·´¯`·.¸ Tweet it: http://clicktotweet.com/M9Qwa ¸.·´¯`·.¸¸.·´¯` This is the second part of a three-part miniseries on the shape of the universe. Could the universe be curved? What is curvature, anyway? What is the cosmological principle? And is the universe maybe some sort of hyp
From playlist Flat Universe and Topology Playlist