Topic: geometry

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The Graceful Tree Problem

Draw some circles, the vertices, connected by lines, the edges. Make sure there are no loops in the structure. These are your "trees" or "insectoids" for the puzzle. Next: Fill the circles in with consecutive odd numb...

Zoetrope pottery

Clay shaped on the potter's wheel. Patterns mapped on the computer and transferred. Shapes painstakingly cut. The resulting shallow bowl is baked in a kiln, then spun and filmed at just the right speed. In this Zoetro...

The Sphere-Packing Problem

The next time you're eating candy, ask yourself: "What's the best way to stack this?" Then start arranging them to find out. The answer to this question can be found in the shape of the candy. In this University of...

Hypocycloid circular motion optical illusion

A circle made of points, shown here with small white balls, appears to roll around the inside edge of a larger circle, but is that what's really happening? File under: Cycloids, hypocycloids, and optical illusions. Th...

Reconfigurable Ghostkube sculptures

Since we last saw Stockholm-based artist Erik Åberg's Ghostkube project, he's investigated the geometry, creativity, and organic qualities behind these interconnected cubes, building prototypes and exploring ways that...

Mysteries of the world’s biggest dome

How did Filippo Brunelleschi use engineering, design, math, and secrecy to build the world's biggest dome? "...Experts still don't fully understand the brilliant methods he used in constructing the dome, which tops th...

An accidental toy inventor’s shapeshifting designs

What if we could make objects transform in the same way a flower unfolds from its bud? This is what designer, Harvard professor, and accidental toy inventor Chuck Hoberman is trying to figure out. His work, ranging fr...

Triply Ambiguous Object by Kokichi Sugihara

Continuing his highly-regarded work in the illusion community, artist and mathematician Kokichi Sugihara won the 2018 Best Illusion of the Year award for his Triply Ambiguous Object. The piece includes a paper with an...

Types of Triangles, a Flocabulary math music video

This triangle is acute. Right triangle, obtuse. Isosceles, scalene. Equilateral, now you know the whole team. Learn the basics of triangles with Types of Triangles, a catchy and informative math music video from th...

How bubble engineer Melody Yang makes mind-blowing bubbles

Blowing bubbles might seem pretty simple, but when you've spent a lifetime studying the science and behavior of bubbles, setting world records and creating them for audiences around the world, bubble engineering can b...

Liquid Printed Pneumatics: 3D printing stretchy silicone structures

Imagine 3D printing a balloon of sorts, a stretchy material that can expand or contract with the air that's pumped into it. MIT’s Self-Assembly Laboratory, in collaboration with BMW, has developed a new way to print s...

Professor Kokichi Sugihara creates his mind-blowing illusions with math

Professor Kokichi Sugihara is world-renowned for his award-winning impossible objects and reality-defying illusions. He uses mathematics to make the three-dimensional objects that create his impossible scenes and illu...

How To Make Geometric Pies by lokokitchen

Self-taught baker Lauren Ko creates geometric pies and shares them on her popular Instagram account lokokitchen. In this Tasty video, she talks about what inspired her to start baking, how she learns new tricks, and h...

How To Make a Hexaflexagon: The Definitive Guide

How do you make a hexaflexagon in under a minute from any long scrap of paper without scissors, tape, or glue? 'Mathemusician' Vi Hart is well-known for her love of hexaflexagons, hexagonal flat paper models that can ...

Dinara Kasko’s incredible edible geometric cakes

Ukrainian pastry artist Dinara Kasko creates incredible-looking edible cakes that are inspired by geometry, architecture, sculpture, and technology. For a 2017 ‘ruby chocolate’ event in Shanghai, she made an 81 piece ...

Most Satisfying Video of Pop-Up Cards designed by Peter Dahmen

Germany-based paper engineer Peter Dahmen designs and builds intricate paper structures and pop-up cards. Titled Most Satisfying Video of Pop-Up Cards, the video above showcases how Dahmen's personal and commercial wo...

Ballet Rotoscope

A ballerina dances as the joints on her body are traced with a computer-generated rotoscope animation technique, an algorithm that brings a mathematical layer to her natural movements. Ballet Rotoscope (2011) was crea...

How many ways are there to prove the Pythagorean theorem?

What do Euclid, 12-year-old Einstein, and American President James Garfield have in common? They all came up with elegant proofs for the famous Pythagorean theorem, one of the most fundamental rules of geometry and th...

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