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# Topic: *geometry*

## 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 ...

## 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...

## The Kresling-Pattern and our origami world

Biruta Kresling is a Paris-based architect and independant researcher on folded structures—specifically how nature folds and unfolds tree leaves, tortoise shell bamboo, turbinate mollusk shells, the air sac of the h...

## Creating The Never-Ending Bloom: John Edmark’s spiral geometries

Artist, designer, inventor, and Stanford professor John Edmark creates sculptures that are driven by precise mathematics, but his interest in spiral geometries is driven by something more enigmatic... "a search for un...

## A woodworker creates ‘Fibonacci Spiral shavings’

With a freshly sharpened chisel, woodworker Paul Sellers creates what he calls 'Fibonacci spiral shavings,' shaved pieces of wood that resemble Fibonacci spirals, "an approximation of the golden spiral created by draw...

## A Fold Apart: Origamist Robert Lang’s Incredible Paper Creations

Twenty five years ago, physicist Robert Lang worked at NASA, where he researched lasers. He has also garnered 46 patents on optoelectronics and even wrote a Ph.D. thesis called "Semiconductor Lasers: New Geometries an...

## Calculating Pi (π) with Darts

Can you calculate Pi (π) by throwing darts at a square and circle target as randomly as possible? Physics Girl's Dianna Cowern and Veritasium's Derek Muller attempt the challenge, and when "randomly" doesn't happen, t...

## Ambiguous Cylinder Illusion by Kokichi Sugihara

Second place winner of the Best Illusion of the Year Contest 2016, this is the Ambiguous Cylinder Illusion by mathematics professor Kokichi Sugihara of Meiji University in Tokyo, Japan. The direct views of the obj...

## Tauba Auerbach’s massive pop-up book paper sculptures

Filmed for Nowness, this is Tauba Auerbach's massive book project with New York's Printed Matter bookstore: A series of six die-cut paper structures that pop-up into three dimensional sculptures. The tome is titled 2,...

## Notes on a Triangle (1966) by René Jodoin

From the National Film Board of Canada and director René Jodoin, this is Notes on a Triangle (1966), a ballet of three hundred geometric transformations, animated into divisions, alignments, and patterns. Waltz music ...

## General relativity & why GPS wouldn’t work if we didn’t know about it

General relativity, what Albert Einstein said was the happiest thought of his life, basically expands upon the idea that "the laws of physics are the same everywhere". Light and gravity behave in the same way for you....

## The Pythagorean theorem water demo

The Pythagorean theorem water demo: See the two smaller squares of water on the two shorter sides of a right triangle pour perfectly and equally into the area of the larger square on the longer side, known as the hypo...

## From Clay to Mosaics – How zellige (الزليج) mosaics are made

From Moroccan interior design company Habibi Interiors, watch as maâlems (master craftsmen) take their time and skill to create terra cotta tiles known as zellige, zillij, or الزليج, meaning "tiles" in Arabic: From Cl...

## Chris K. Palmer’s origami tessellations – Flower Tower

Origami artist Chris K. Palmer specializes in complex origami tessellations -- "a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps" -- that he folds ...