MegaMenger is finished!

Our international collaborative mathematical fractal building project is now complete! While some building is still going on, our goal to build a Level 4 Menger Sponge has been achieved. Please see below for information about our sponge, with locations, photos, and how you can build your own Menger Sponge if you'd still like to join in.

If you've built any size of Menger Sponge and aren't already listed on our map below, please contact info@megamenger.com and we can include your contribution in the total.

Finished Level 3 sponges (hover to see location info):

Current Level 4 progress: 100%

Our Level 4 Menger Sponge is made from 17 Level 3 sponges (pictured above), 5 partially completed Level 3s, 23 Level 2 sponges and assorted other Level 1 sponges in locations around the world.

More Photos

Photos and updates from all the main Level 3 builds, as well as many from Level 2 and 1 builds, can be found below. If you'd like to submit more photos to our collection, please email info@megamenger.com.


MegaMenger Flickr page
 
MegaMenger Twitter feed
 
MegaMenger cube widget
, by Andrew Taylor

MegaMenger Build Locations

Bath, UK

Venue: University of Bath, Claverton Down, Bath, BA2 7AY

Build dates: 20-24 October
For details, contact Ben Sparks.

Edinburgh UK

Venue: Level 3, JCMB, King's Buildings, University of Edinburgh.

Build dates: 20-24 October.
For details, contact Julia Collins.

Waterloo, ON Canada

Venue: Perimeter Institute, Caroline St

Build dates: 24 October.
For details, contact Marie Strickland.

View a time lapse of the build here.

Manchester, UK

Venue: Museum of Science and Industry, Liverpool Road.

Build dates: 25th and 26th October
For details, contact Katie Steckles.

Printing provided by Hobs Studio; part of the Manchester Science Festival (supported by Siemens)

Almería, Spain

Venue: University of Almería, Almería

Build dates: 21-25 October.
For details, contact José Luis Rodríguez Blancas.

Kindly supported by the University of Almeria.

Auckland, New Zealand

Venue: Auckland Art Gallery

Build dates: 25-26 October
For details, contact Nicolette Rattenbury.

Cambridge, UK

Venue: Centre for Mathematical Sciences, Wilberforce Road

Build dates: 25th October. For more information, see the event page here.
For details, contact Kristin Coldwell.

Sponge cards donated by Victoire Press, Cambridge.

Colorado Springs, CO USA

Venue: Air Academy High School, Carlton Drive

Build dates: Public build day on Oct 25th.
For details, contact Colin Adams.

Davidson, NC USA

Venue: Davidson College, N Main St

Build dates: 20th - 26th October.
For details, contact Donna Molinek.

Decatur, GA USA

Venue: Agnes Scott College, Decatur.

Build dates: October 20-26
For details, contact Rachel Bayless.

Grand Rapids, MI USA

Venue: Calvin College, Grand Rapids

Build dates: 17-25 October.
For details, contact Randall Pruim.

More information about this event is available at the Calvin College website.

London, UK

Venue: Queen Mary University of London, Maths Department foyer

Build dates: Until 15th November.
For details, contact Giulia Campolo.

New York, NY USA

Venue: National Museum of Mathematics, E 26th St

Build dates: 25th October.
For details, contact Laura Taalman.

Salem, OR USA

Venue: Ford Hall (2nd Floor), Willamette University

Build dates: 20-26 October.
For details, contact Josh Laison.

Suzhou, China

Venue: Dulwich International High School, Renmin Road

Build dates: 23rd-26th October.
For details, contact Martin Crozier.

Tampere, Finland

Venue: Tampereen lyseon lukio, F.E.Sillanpään katu 7, 33230

Build dates: 23-24 October.
For details, contact Kaarina Ojasti.

Roanoke, VA USA

Venue: Wyndham Robertson Library, Hollins University

Build dates: Saturdays in October.
For details, contact Caren Diefenderfer.

Birmingham, AL USA

Venue: Odenville Middle School, Odenville.

Build dates: Afternoons in October (3-5pm); public build on October 25.
For details, contact Jim Wilder.

Leeds, UK

Venue: University of Leeds Conference Auditorium (first floor bar)

Build dates: 20th-24th October.
For details, contact Rob Sturman.

Workington, Cumbria UK

Venue: Lakes College, West Cumbria.

Build dates: 20th-26th October, with the completed sponge open for viewing until 2nd November.
For details, contact James Kuechel.

Boston, MA USA

Venue: Lobby 10, 77 Massachusetts Avenue, Massachusetts Institute of Technology, Cambridge, MA 02139

Build dates: October 26, 8am-10pm. Finished sponge will be on display in the lobby of Stata Center (Building 32) at MIT until 11/23.
For details, contact YQ Lu.

San Francisco, CA USA

Venue: The Paper Tree, Buchanan Mall

Build dates: 20-26 October.
For details, contact Vicky and Linda.

Asheville, NC USA

Venue: Asheville-Buncombe Technical Community College

Cullowhee, NC USA

Venue: Western Carolina University

Christchurch, Dorset, UK

Venue: Highcliffe School

Hampstead, London

Venue: University College School

Preston, UK

Venue: Maudland Building Foyer, UCLAN

Build dates: Wednesday 22nd October, with a talk about the mathematics of fractals at 4pm.
For details, contact Charlotte Kestner.

Sydney, Australia

Venue: Monte Sant' Angelo Mercy College

Lexington City, VA USA

Venue: Washington & Lee University

Allendale, MI USA

Venue: Grand Valley State University

Christchurch, Dorset, UK

Venue: Twynham School

Edina, MN

Venue: Edina High School - writeup here

Frostburg, MD USA

Venue: Frostburg State University

Glassboro, NJ USA

Built by Rowan University Math Team

Build video

Granville, OH USA

Venue: Denison University

Mineapolis, MN USA

Built by Seth Leavitt

Morehead, KY USA

Venue: Morehead State University Dept of Math, CS, & Physics

Salt Lake City, UT USA

Venue: University of Utah, T. Benny Rushing Mathematics Center and Student Union Lobby

Build dates: Oct 22-24, with full details on the AWM chapter website.
For details, contact Evelyn Lamb.

Tasmania, Australia

Venue:

Winton-Salem, NC USA

Venue: Career Center High School

Wooster, OH USA

Venue: The College of Wooster

Bourbonnais, IL, USA

Olivet Nazarene University

Hobart, Tasmania, Australia

Mount Nelson Primary School

Denison, OH, USA

Denison University

Johor Bahru, Malaysia

Venue: Marlborough College

Rehovot, Israel

Venue: Davidson Institute, Weizmann Institute of Science.

Five level 1 sponges built as part of the Martin Gardner Celebration of Mind event on 21st October.

Wimborne Minster

Queen Elizabeth's School - 4 Level 1s built and working towards a Level 2

Ashburn, VA USA

Venue: Eagle Ridge Middle School - three Level 1 sponges

Columbia, SC USA

Built by South Carolina High Energy Mathematics Teacher Circle (SCHEMaTC) - 2 level-1 sponges built

Melbourne, Australia

Moomba Park Primary School

Altrincham

Built by Mim & Doug Sanders and family

Austin TX USA

Venue: St. Edward's University

Cardiff, Wales

Venue: MathsJam, Cardiff (21st October)

Galway, Ireland

Built by @galwaypens

Greater Philadelphia Paper Pholders

Venue: Cynwyd (R6) Train Station

Harrisburg PA USA

Venue: Dauphin County Technical School

Lisbon, Portugal

Venue: MathsJam, Lisbon (21st October)

Lyndhurst, NJ USA

Built by Mitch Okun

Queensland, Australia

Venue: Somerset College - built by Andrew Wrigley

Winnipeg, Canada

Venue: MathsJam, Winnipeg (21st October)

East Haddam, CT

Venue: Franklin Academy - added to NYC build

Kennesaw, GA USA

Venue: Kennesaw Mountain Undergrad Maths Conference, Kennesaw State University

October 11.
For details, contact Yuliya Babenko.

Sponges from this build were combined with the Decatur build to make one Level 3 sponge.

Cairo, Egypt

Venue: Hall D1 in the German University in Cairo - multiple Level 2 builds

Build dates: 18-21 October
For details, contact Heba Mugahid.

Lexington, VA USA

Venue: Virginia Military Institute, Mallory Hall

20-26 October.
For details, contact Meagan Herald.

Taipei, Taiwan

Venue: Taipei European School

Beccles, Suffolk

Venue: Sir John Leman High School

Ashford, Kent UK

Venue: Highworth Grammar School for Girls

Key

  • Level 0 Level 0 build site
  • Level 1 Level 1 build site
  • Level 2 Level 2 build site
  • Level 3 Level 3 build site

What is MegaMenger?

The MegaMenger may be the largest fractal ever built, made out of over a million business cards and encompassing the entire Earth.

A Menger Sponge is a three-dimensional fractal, which can be made by taking a cube and cutting out a square section through the centre in each of the three directions; then each of the resulting smaller cubes is cut out in the same way, and so on until you've removed infinitely many pieces. So each Menger Sponge is made from twenty identical-but-smaller Menger Sponges. This results in an object which has zero volume but infinite surface area!

As a distributed fractal project, twenty Menger Sponge cubes have been built in different cities around the world. In each location, volunteers built 8,000 small cubes out of nearly 50,000 business cards. These were combined in groups of 20 to create 400 "level one" Menger Sponges. These were also combined in groups of 20 to make 20 "level two" sponges, which then formed one massive "level three" Menger Sponge. The resulting fractal cubes are nearly one and half metres tall.

These twenty level-three Menger Sponges around the planet form a distributed level-four sponge, the largest ever made out of business cards. The level-three sponge builds took place during the week of the 20 to 26 October 2014, which included the Martin Gardner Global Celebration of Mind Gatherings on 21 October. By Sunday 26 October, twenty locations around the globe were united in building an amazing 3D fractal - plus many more locations where smaller builds took place.

Downloads

If you're interested in building your own Menger Sponge, we have downloadable worksheets, posters and related fractal activities. If you need any more help, or would like to let us know about your build and be added to the map, please contact info@megamenger.com.

Printable Menger Cards: we now have a downloadable version of the cards for printing. If you'd like to get involved and print some fractal cards yourself, here's some instructions and printable PDFs you can use. Click here to download: MegaMengerPrintingFiles.pdf (4.4MB)

Building instructions: We've included several methods, including those developed by Dr Jeannine Mosely, who has previously built a Level 3 sponge.
Basic Instructions (up to a level-1 sponge): MegaMengerBasicBuildingInstructions.zip (2.7MB)
Level-2 Instructions (to be used in combination with the basic set): MegaMengerLevel-2Instructions.zip (3MB)
Level 3 instruction sheet: MegaMengerLevel-3Instructions.pdf (168KB)

Fractal Activity Sheets: If you want to learn more about fractals, including the Menger Sponge and several other 2D and 3D fractals, here are some activity sheets you can use: MegaMengerFractalActivitySheets.zip (5.5MB)
Bonus worksheet: Constructing a Koch Curve: MegaMengerKochCurve.pdf (108KB)

Videos: We've made a video of the basics of Menger Sponge construction, which can be found here. There's also a great video here showing the results of taking slices through a sponge.

3D printable Menger Sponges: If you have access to a 3D printer and would like to make your own Menger Sponge using it, here are some designs provided by Laura Taalman: 3D_printable_mengers.zip (1MB)

Who is behind this?

This project is a joint brain-child of Matt Parker and Laura Taalman.

The MegaMenger project has been supported by Queen Mary, University of London. We've also been supported by several other organisations, which have variously donated business cards/printing, and provided host venues for our build sites.

Matt Parker and his Think Maths team previously worked with the Manchester Science Festival to build the world's biggest Domino Computer. They have joined forces again for the Mega Menger, and one of the twenty build locations around the world was the Museum of Science and Industry in Manchester. The printing for the Manchester Science Festival build has been kindly donated by Hobs Studio.

Laura Taalman is a Professor of Mathematics at James Madison University in Virginia, and an Ambassador for the Mathematical Association of America. In 2014 she was the Mathematician-in-Residence at MoMath, the National Museum of Mathematics in Manhattan, which was also one of the build locations.

The event was supported by Manchester Science Festival, which is where one of the builds took place, and MoMath in New York, where another build happened, along with other organisations who have hosted or funded local sponge builds. MegaMenger is supported by Queen Mary, University of London.

  • Manchester Science Festival
  • MoMath
  • Queen Mary, University of London
  • Edinburgh Copy ShopPaper Tree, San Francisco