# Sugihara’s Circle/Square Optical Illusion

## by landisbs, published Dec 15, 2016

Sugihara’s Circle/Square Optical Illusion by landisbs Dec 15, 2016
1 Share

### Thing Apps Enabled

Order This Printed View All Apps

Math

GeoGebra

View All

## Give a Shout Out

If you print this Thing and display it in public proudly give attribution by printing and displaying this tag.

Print Thing Tag

# Summary

This is a 3D file based on Sugihara’s Circle/Square Optical Illusion. Kokichi Sugihara created the video "Ambiguous Optical Illusion: Rectangles and Circles﻿."
In it he shows a 3-dimensional shape that looks like a circular cylinder but in a mirror looks like a square cylinder.
The 3D file was created by Mathematics Professor, Dave Richeson, at Dickinson College. He has blogged about the project and has shared a pdf file that can be printed and cut to replicate the illusion. He also wrote an article about the illusion in the September 2016 issue of the journal Math Horizons. http://users.dickinson.edu/~richesod/RichesonImpossibleCylinder.pdf

https://divisbyzero.com/2016/07/05/sugiharas-circlesquare-optical-illusion/

https://divisbyzero.com/2016/07/06/make-a-sugihara-circlesquare-optical-illusion-out-of-paper/

Geogebra file and description
https://www.geogebra.org/m/EdSp6X76

Printer Brand:

LulzBot

Printer:

TAZ 6

Rafts:

Yes

Supports:

Yes

Infill:

10

# How I Designed This

Designed by Dickinson College Professor Dave Richeson
https://www.geogebra.org/m/EdSp6X76

# Overview and Background

This is a 3D file based on Sugihara’s Circle/Square Optical Illusion. Kokichi Sugihara created the video "Ambiguous Optical Illusion: Rectangles and Circles﻿."
In it he shows a 3-dimensional shape that looks like a circular cylinder but in a mirror looks like a square cylinder.
The 3D file was created by Mathematics Professor, Dave Richeson, at Dickinson College. He has blogged about the project and has shared a pdf file that can be printed and cut to replicate the illusion.

https://divisbyzero.com/2016/07/05/sugiharas-circlesquare-optical-illusion/

https://divisbyzero.com/2016/07/06/make-a-sugihara-circlesquare-optical-illusion-out-of-paper/

Geogebra file and description
https://www.geogebra.org/m/EdSp6X76

# Lesson Plan and Activity

This is a 3D file based on Sugihara’s Circle/Square Optical Illusion. Kokichi Sugihara created the video "Ambiguous Optical Illusion: Rectangles and Circles﻿."
In it he shows a 3-dimensional shape that looks like a circular cylinder but in a mirror looks like a square cylinder.
The 3D file was created by Mathematics Professor, Dave Richeson, at Dickinson College. He has blogged about the project and has shared a pdf file that can be printed and cut to replicate the illusion.

https://divisbyzero.com/2016/07/05/sugiharas-circlesquare-optical-illusion/

https://divisbyzero.com/2016/07/06/make-a-sugihara-circlesquare-optical-illusion-out-of-paper/

Geogebra file and description
https://www.geogebra.org/m/EdSp6X76

view more

# All Apps

Auto-magically prepare your 3D models for 3D printing. A cloud based 3D models Preparing and Healing solution for 3D Printing, MakePrintable provides features for model repairing, wall thickness...

Kiri:Moto is an integrated cloud-based slicer and tool-path generator for 3D Printing, CAM / CNC and Laser cutting. *** 3D printing mode provides model slicing and GCode output using built-in...

KiriMoto Thing App

With 3D Slash, you can edit 3d models like a stonecutter. A unique interface: as fun as a building game! The perfect tool for non-designers and children to create in 3D.

Print through a distributed network of 3D printing enthusiasts from across the US, at a fraction of the cost of the competitors. We want to change the world for the better through technology, an...

Quickly Scale, Mirror or Cut your 3D Models

3D Print a wide range of designs with Treatstock. Easy to use tools to get the perfect result. The global 3D printing network that connects you with high-quality and fast working print services nea...

Top