Ten years and 66,000 business cards later the project was completed, and in 2006 I had the pleasure of curating an exhibition of this work at Machine Project.

Where the Carpet is poised between a line and a plane, the Sponge hovers of the boundary of the plane and the solid - its fractional dimension is 2.73. The Menger sponge is a closed set; since it is also bounded, the Heine–Borel theorem implies that it is compact.It has Lebesgue measure 0. It is currently on display on … Several years later Menger reported his discovery of a three-dimensional version of Sierpinski’s Carpet, which came to be known as the Menger Sponge. How to Fold a Penultimate Module. We recently constructed one face of a Level 3 Menger Sponge as part of the MegaMenger project.
Origami Fractals .

Doug will show you how to connect business cards into a cube and then connect the cubes to each other. Properties. Menger Sponge VIII . Modular origami is so related to geometry, it could easily be used for a math fair project.

A Menger’s Sponge is a cubical mathematical figure that can be added to indefinitely if you have the room, time and patience. 03-14-15 -- OrigaMIT Exhibit Opening: Level 3 Menger Sponge 01-17-15 -- Visiting Artist Talk by Vincent Floderer - 'A Biomimetic Talk to Folding Paper' 11-08-14 -- Fourth OrigaMIT Convention! It is an uncountable set.. Each face of the Menger sponge is a Sierpinski carpet; furthermore, any intersection of the Menger sponge with a diagonal or medium of the initial cube M 0 is a Cantor set.. Menger Sponge Construction. The idea came to her that she could fold them into a model of a fractal known as the Menger Sponge. Menger Sponge! Comments Answer: C Justification: We have 20 shapes of the previous iteration, which separated have an area of 20A n-1. The 8 locations which are eliminated when the shapes are combined constitute 16 areas multiplied by (8/9)n-1, the area of the previous shape’s

Jeannine Mosley, the creator of the model, made a Menger Sponge that was several feet high. She is best known for her business card Menger Sponge, a mathematical fractal created by continually dividing each face of a cube into nine squares and removing the resulting smaller cube in the middle of each face and the center of the original cube. This sculpture incorporates over 25,000 business cards and was built with the help of over 20 club members. “Before it got codified, it could be very confusing,” said Jeannine Mosely, a software engineer in Cambridge, Mass.