14 Topic: Menger’s sponge

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Chapter 14
Topic: Menger’s sponge

Level: Advanced

In this chapter, we’re going to build a fractal solid called Menger’s sponge. Here are the first steps to create this solid:

Step 0

Step 1

Step 2

Step 3

This chapter contains two sections:

First, we’ll show how to create this solid using recursion.
Finally, we’ll try to generate a Menger sponge of order 4.

14.1 Using recursion
14.2 Second approach: Drawing a Menger sponge, order 4
  14.2.1 Sierpinski carpet
  14.2.2 Drawing a Sierpinski carpet of order p
  14.2.3 All Different possible schemas for columns
  14.2.4 The program
  14.2.5 Menger’s sponge order 4

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