Contenido

1. Introduction
2. History: worlds nobody saw for a hundred years
3. Lesson 1. The 128 × 128 screen: seven bits instead of six
   1. 1.1. The idea: one more bit
   2. 1.2. The idea: reset from outside
   3. 1.3. Building
   4. 1.4. Check
   5. Lesson 1 paste (Cmd+I)
4. Lesson 2. Fractions: the point nobody sees
   1. 2.1. The idea: a fixed point
   2. 2.2. The idea: add with the same adder
   3. 2.3. Building
   4. 2.4. Check
   5. Lesson 2 paste (Cmd+I)
5. Lesson 3. The multiplier: long multiplication, all at once
   1. 3.1. The idea: long multiplication in binary
   2. 3.2. The idea: the sign separately
   3. 3.3. The idea: where the point went
   4. 3.4. Building
   5. 3.5. Check
   6. Lesson 3 paste (Cmd+I)
6. Lesson 4. The Barnsley fern: a leaf from random jumps
   1. 4.1. The idea: four rules
   2. 4.2. The idea: chance — 7 shifts per clock
   3. 4.3. The idea: coefficients from a ROM
   4. 4.4. The idea: a screen without multiplication
   5. 4.5. Building
   6. 4.6. Check
   7. Lesson 4 paste (Cmd+I)
7. Lesson 5. The Mandelbrot set: z = z² + c
   1. 5.1. The idea: does it run away or not
   2. 5.2. The idea: "escaped" in 14 bits
   3. 5.3. The idea: dot by dot
   4. 5.4. The price of a picture in clocks
   5. 5.5. Building
   6. 5.6. Check
   7. Lesson 5 paste (Cmd+I)
8. Lesson 6. Julia worlds: a switch changes the universe
   1. 6.1. The idea: the same formula the other way round
   2. 6.2. The idea: a multiplexer
   3. 6.3. The idea: a different window
   4. 6.4. Building
   5. 6.5. Check
   6. 6.6. Julia worlds
   7. Lesson 6 paste (Cmd+I)
9. Summary
10. All the parts
11. Instructions in pictures