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3D PRINTED MATH

If you have access to a 3D Printer, try printing toys, gadgets, puzzles, and math manipulatives. 

Creativity is a major part of growing up, and 3D printed toys can let kids express that. Everyone can design 3D models to print or visit websites like Thingiverse to find free models to customize or print directly. You can support the designer by clicking the tip the designer button.

Do not worry that if you cannot 3D print, you can still purchase the one-of-a-kind 3D models. 

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Fractals

Hilbert
Curve

One of the models mentioned in the Visualizing Mathematics with 3D Printing Book. You can use it to display iterations of HC

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Topology

Topology Joke

One of the models mentioned in the Visualizing Mathematics with 3D Printing Book by Henry Segerman

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Pyramids & Cone

Height vs Slant Height

A set of pyramids and a cone which have had slices taken out to help students identify the hidden triangles.

knots
Knots

Knots
 

3D printed conformations of the fifteen knots through seven crossings

Scutoids
Scutoids

by mathgrrl 

Pair of Packable Scutoids

Scutoids are a geometrical solution to 3D packing of epithelia in the journal Nature.

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Cone

Conic Sections
 

A horizontal slice reveals the circle, a slanted reveals the ellipse, a vertical reveals the hyperbola, and a slanted vertical cut reveals the parabola.

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Pythagorean Thm

Proof of the Theorem

Use the given regions to cover the squares to prove Pythagoras Theorem

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Illusion

Straight vs
Curve

Straight bar goes through curved slit

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Klein Bottle

Klein Bottle
 

This special  3D  shape with only one surface.

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Reuleaux Shapes

Solids of Constant Width

These shapes have the same width (height) no matter how they are rotated or rolled.

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Puzzle

Puzzle
365

Famous Puzzle 365 - use petrominoes to cover all the numbers except today's

 date.

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Fidgets

Curves of Pursuits

3D Models of fidgets which can also be used to display the curves of pursuit.

fractal
Sierpinki Pyramid

3D Fractal
 

Watch the horizontal cross-sections when forming the pyramid.

pentagons
Pentagons

All Tessellating Pentagons

15 types of non- regular tessellating pentagons

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Platonic Solids

Foldable
Polyhedra

oldable versions of your favorite regular 3D shapes, the five Platonic Solids!

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Menger Slices

Slices of Menger Cube

Three different diagonal slice models of a level 2 Menger sponge.

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Two Circle Roller

Oloid-like shape

When it rolls, every point on its surface touches the ground

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Hinged Square

Square & Triangle Transformation

inged triangle-square dissection (Dudeney's dissection)

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Mobius Strip

Mobius Strip
5 half-twists

2 sided  but one surface

special shape

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Impossible Triangle

3D Optical
Illusion

A triangle with three 90 degrees angle

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Inclinometer

Hypsometer
 

Usually called inclinometer. It is used to find the height of the objects using trigonometry.

 

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Pyramids & Cube

Volume Formula

Can be used to prove the volume ratio between a cube and a square pyramid.

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Cipher

by ereiser 

Cryptography
 

Students learn about the Caesar Cipher. They practice encoding and decoding messages using a decoder ring.

Brachistochrone
Brachistochrone

Brachistochrone Curve Demonstration

Which is the fastest possible path a ball can take when falling between two points?

trammel
Trammel

by lgbu

Trammel of Archimedes

A  geometric structure for constructing ellipses or exploring mathematical relations

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(A+B)^3

Binomial
Expansion

A  model for the binomial expansion of the cube of the sum of a and b.

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Illusion

Perspective

3D object w/ the top view is a circle, the front view is a  triangle and the side view is a square.

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64=65

Slope Puzzle
64=65

Rearrange the pieces, and the area seems to change. How can that happen?

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Squarcle

3D Optical
Illusion

he Squarcle is a 3D optical illusion based on the work of Kokichi Sugihara

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Golden Ratio

Golden Ratio
Spiral

A key ring of Fibonacci  - Golden Ratio spiral

Book Recommendation;

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