Awesome Geometry

Exlicon MX Drawing Tool Set

Exlicon MX Drawing Tool Set

This set of drawing tools makes it easy to create precise shapes. By combining its parts, you can draw circles, hexagons, triangles, squares, and more. Use it to measure angles with its protractor or long lines with its rolling ruler. Its extendable ruler can be used to draw objects from 0.4″ (10mm) to 18.7″ (475mm) in diameter.

Triangle Playing Cards

Triangle Playing Cards
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Who says playing cards need to be rectangular? Home Run Games sure doesn’t. Their unique 3-sided cards feature unusual arrangements of symbols and court images, adapted to fit into the triangular constraints. They’re printed on casino-grade linen paper and come in red, blue, or a special limited-edition.

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Crushmetric Switch Pen

Crushmetric Switch Pen

Building on his own his series of dented can sculptures, artist Noah Deledda applied the idea to something you can enjoy every day. The Crushmetric pen changes from a smooth form, to a deeply-faceted pattern with the push of a button. It’s available in a silver or holographic finish. The Action Lab explains how it works.

The Circle

The Circle

Barcelona design studio Six N. Five takes us on a journey through time and space represented as a circle moving through various locations. Director Ezequiel Pini says “We are a circle, without boundaries, beginning or end. Infinity, Unity, connection, just a circle in expansion.” Part of the Moco Museum collection.

Squaring a Circle

Squaring a Circle

At first glance, this object looks like a square, but with a quick rotation it transforms into a circle. Physicsfun shows off this intriguing optical illusion created by Matt Enlow. When viewed from the side, you can see it’s actually madeup of four identical parabola segments. A 3D print of the model is available from Shapeways.

Phi Ruler 2.0

Phi Ruler 2.0

Not to be confused with the Phi Ruler, this drawing tool offers another method for drawing with the Golden Ratio, a mathematical ratio known for its ability to produce images and objects with harmony, balance, and structure. The Phi Ruler 2.0 comes in three sizes and in clear or a Bauhaus-inspired color scheme.

Making Patterns with LEGO Gears

Making Patterns with LEGO Gears

Rapidly spinning objects can result in some cool, Spirograph-like patterns. LEGO mechanical builder Yoshihito Isogawa shows how different arrangements of LEGO Technic gears create different geometric patterns when spun in front of a camera’s lens. It would be interesting to see some larger and more complicated designs.

5-Axis Moving Rack Sculpture

5-Axis Moving Rack Sculpture

Inspired by the geometric star art of John and Jane Kostick, mathematical artist Henry Segerman shows off a neat bit of mechanical engineering which uses a set of five geared racks that can smoothly slide through each other. The model is available as a 3D print from Shapeways, but it’s not cheap.

Lunark Origami Lunar Tent

Lunark Origami Lunar Tent

SAGA is developing an innovative shelter design that could be used by astronauts on the moon. Designed to survive extreme weather conditions, it packs up small for transit and expands to more than five times its original size when opened up. It’s designed to land on-site fully outfitted with furniture, food, water, and resources.

Bending a LEGO Sphere

Bending a LEGO Sphere

We’ve been spellbound by the many unconventional LEGO structures posted on the Brick Bending channel. For this creation, they linked together 3696 1×2 plates with 72 2×2 plates to create a spherical rhombicuboctahedron. You’d never know where this build was going if we didn’t tell you first.

AlgoLoop Marble Toy

AlgoLoop Marble Toy
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Mathematician and creator Yosuke Ikeda invented this glorious little plaything which uses a series of ramps to move marbles around as you push on it. Multiple AlgoLoops can be combined for more complex patterns. The project’s Kickstarter already has closed, but hopefully we’ll be able to buy these soon.

DeepLight 12 Dodecagon Light

DeepLight 12 Dodecagon Light
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Artist David Hughes created this incredible light-up showpiece using bespoke 2-way glass mirrors to produce an endless array of patterns. Its custom circuit boards power 960 colorful LEDs, which come to life to produce its hypnotic designs. It’s built with a sturdy, anodized aluminum frame and is limited to 500 pieces.

Brick Bending a LEGO Wheel

Brick Bending a LEGO Wheel

YouTube channel Brick Bending specializes in creating unexpected geometries using LEGO bricks. This satisfying video shows how they built an oversize wheel using three kinds of hinged components in a repeating pattern. We imagine you could use this method to build a wheel as large as you want, given enough bricks.

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Elliptical Pool Table

Elliptical Pool Table

Frustrated by missing shots on a regular pool table, The Q went ahead and built himself a special kind of pool table where the ball goes in the pocket virtually every time. The trick is its elliptical shape, which sets up the perfect bank shot at every angle. This video from Numberphile explains the geometry at work.

Making a Magnet Cuboctahedron

Making a Magnet Cuboctahedron

Magnetic Games presents yet another wonderfully satisfying video, in which he uses hundreds of magnetic rods and spheres to create an complicated geometric sculpture. He placed a light at the center of his masterpiece, so it casts interesting shadows as well. After it’s all done, he knocks it down with a catapult.

The Infinite Pattern

The Infinite Pattern

Are you craving your daily dose of math and science? Veritasium is here to fill our brains with all kinds of interesting facts about geometry and patterns, eventually leading to a demonstration of interlocking tiles that can extend infinitely across a plane without ever repeating their layout.

Adam Savage Builds a Hyperdodecahedron

Adam Savage Builds a Hyperdodecahedron

Tested’s Adam Savage got his hands on the Zometool Hyperdo, an incredibly complex building kit based on a 4D object known as a hyperdodecahedron. The 120-cell object is made up from 640 struts and 330 connection nodes. It requires a lot of time and patience to assemble, but the end result is worth it.

Lines Puzzle

Lines Puzzle
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Perhaps the most difficult of Bgraamiens’ challenging jigsaw designs, this 1000-piece puzzle is covered with a seemingly random arrangement of skinny lines, overlapping across a white background. Looking for something more colorful? Check out more of their puzzle designs here.

Best Optical Illusion of 2020

Best Optical Illusion of 2020

Mathematician Kokichi Sugihara of Meiji University shows off another brain-breaking optical illusion, taking home the prize of Best Illusion of 2020. While it looks like a simple design at first, the 3D Schröder Staircase looks exactly the same right-side-up and upside-down, its left end looking taller than its right.

Making a Truncated Icosidodecahedron

Making a Truncated Icosidodecahedron

A truncated icosidodecahedron is a polyhedral shape made up of hexagonal, decagonal, and square faces. Maker Michael Mikkelson shows how he made one of the polygonal globes from laser-cut birch plywood, 3D-printed connectors, and 360 screws. Up for the challenge? Head to Instructables for the full build instructions.

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HexaSphericon Rolling Toy

HexaSphericon Rolling Toy

From the expert machinists at AltDynamic comes their most impressive creation yet, a family of elegant aluminum playthings which look nothing like a sphere, yet can roll like one. Each one splits down the middle and is held together with magnets. They come in three variants, each with its own unique rolling properties.

Geometric Shadowcaster Lamps

Geometric Shadowcaster Lamps
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The guys at ThunderDomes are in the business of building geodesic domes. But they also make some nifty LED lamps, which use 3D printing and cast resin structures to throw dramatic shadows onto walls, ceilings, and floors. They come in a variety of designs, with our favorite being the golden ratio spiral pattern.

Hexagons are the Bestagons

Hexagons are the Bestagons

We all know that bees make their honeycombs by creating nearly perfect hexagonal cells. But why is that they chose hexagons to do their building? CGP Grey looks into the power and strength of this basic six-sided form, especially when it comes to tiling efficiency.

Machined Tesseract Cube

Machined Tesseract Cube
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Makers of cool metal objects AltDynamic are back with another really sweet design. The Tesseract is a CNC-machined aluminum cube within a cube that looks like a rare totem from another dimension. It comes in three sizes: 1.9″ Mini, 2.4″ Mighty, and 2.9″ Mega, in raw aluminum and three anodized colors.

Magnetic Disassembly Zen

Magnetic Disassembly Zen

Despite their YouTube channel’s name, The Philadelphia Robot Factory has significantly more magnets than robots. In this highly satisfying video, they disassemble a hefty hexagonal structure they made from 50,000 individual magnetic spheres, layer by layer. Now enjoy the same in reverse.

The Ham Sandwich Theorem

The Ham Sandwich Theorem

You’d think that when you say you want half a sandwich, it would simply take a straight cut down the middle to get your 50/50 share. But Numberphile explains how it’s not quite that simple of a task if you really want exactly half. Now how to apply theory to reality…

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