How to Draw N-space Cubes

Table of Contents

1 How to Draw N-space Cubes
2 Overview
3 An Intuitive Visual Approach
4 A 0-space cube
5 A 1-space cube
6 A 2-space cube
7 A 3-space cube
8 Two 3-space cubes
9 A 4-space cube
10 Now, for a 5-space cube?
11 Clone two 4s for a 5
12 A Messy 5-space cube
13 Stretching Your Intuition
14 A cube defined
15 Stretch-a-Cube
16 Really Stretch it!
17 It's still a cube
18 Adjacents Defined
19 A Twisted Circle Cube
20 Untwisting a Twisted Circle Cube
21 Untwisting 1
22 Untwisting 2
23 An Untwisted Circle Cube
24 Two Topologically Equivalent Cubes
25 An Easy Mathematical Approach
26 A Cumbersome Naming Convention
27 Each cube has 2**N points
28 Label the points with binary numbers
29 Each point is uniquely identified
30 Adjacents defined mathematically
31 A clarifying example
32 The XOR binary operation
33 Build a cube mathematically
34 Build a cube top level 1
35 Build a cube top level 2
36 Build a cube top level 3
37 Build a cube middle level 1
38 Build a cube middle level 2
39 Build a cube middle level 3
40 Build a cube middle level 4
41 Build a cube middle level 5
42 Build a cube middle level 6
43 Build a cube lower level 1
44 Build a cube lower level 2
45 Build a cube lower level 3
46 A 3-space cube with binary points
47 A 4-space cube with binary points
48 A mathematical pearl
49 Pascal's Triangle
50 Pascal levels of a 5-space cube
51 Lineset Symmetries
52 Lineset 1
53 Lineset 2
54 Lineset 3
55 Lineset 4
56 All four linesets form a 4-space cube
57 Linesets without the Points
58 Linesets 2 and 3
59 Linesets 3 and 4
60 Linesets 1 and 2
61 Linesets 1 and 3
62 Linesets 2 and 4
63 Linesets 1 and 4
64 Linesets 2,3 and 4
65 Linesets 1,2 and 3
66 Linesets 1,2 and 4
67 2 Intertwined 3-space cubes (1,2,4)
68 2 Intertwined 3-space cubes (1,3,4)
69 The expansion of (t+2)**N
70 The coefficients contain information
71 Congratulations on graduating

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