top of page

Read. Watch. Play. Explore. Create

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. 

Hilbert Curve.png
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

Screen Shot 2021-10-16 at 5.34.10 PM.png
Topology

Topology Joke

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

CROSS.png
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.

cone.png
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.

Pythagoras Theorem.png
Pythagorean Thm

Proof of the Theorem

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

Screen Shot 2021-08-31 at 12.20.04 AM.png
Illusion

Straight vs
Curve

Straight bar goes through curved slit

Screen Shot 2021-08-31 at 12.28.55 AM.png
Klein Bottle

Klein Bottle
 

This special  3D  shape with only one surface.

Screen Shot 2021-08-31 at 12.43.26 AM.png
Reuleaux Shapes

Solids of Constant Width

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

Screen Shot 2021-10-16 at 4.55.43 PM.png
Puzzle

Puzzle
365

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

 date.

Screen Shot 2021-10-16 at 5.34.34 PM.png
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

Screen Shot 2021-08-30 at 11.34.33 PM.png
Platonic Solids

Foldable
Polyhedra

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

Menger Slices.png
Menger Slices

Slices of Menger Cube

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

Two Circle Roller.png
Two Circle Roller

Oloid-like shape

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

Hinged .png
Hinged Square

Square & Triangle Transformation

inged triangle-square dissection (Dudeney's dissection)

Screen Shot 2021-08-31 at 12.33.57 AM.png
Mobius Strip

Mobius Strip
5 half-twists

2 sided  but one surface

special shape

Screen Shot 2021-08-31 at 12.47.27 AM.png
Impossible Triangle

3D Optical
Illusion

A triangle with three 90 degrees angle

Screen Shot 2021-10-16 at 4.58.35 PM.png
Inclinometer

Hypsometer
 

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

 

Screen Shot 2021-10-16 at 5.34.25 PM.png
Pyramids & Cube

Volume Formula

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

Screen Shot 2021-08-30 at 10.17.45 PM.png
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

Screen Shot 2021-08-31 at 12.00.11 AM.png
(A+B)^3

Binomial
Expansion

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

Screen Shot 2021-08-31 at 12.16.39 AM.png
Illusion

Perspective

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

64.png
64=65

Slope Puzzle
64=65

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

Squarcle.png
Squarcle

3D Optical
Illusion

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

Screen Shot 2021-08-31 at 12.48.03 AM.png
Golden Ratio

Golden Ratio
Spiral

A key ring of Fibonacci  - Golden Ratio spiral

Book Recommendation;

3d book.jpg
Logo.png


This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

88x31.png

©2023 by MATHFAN. 

bottom of page