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8.8Text-HeavyOther hookEducation
Hook
3n+1
@mathineer
51.4K followers · usually 63.6K views a post
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Why it worked
The post visualizes a complex mathematical concept (the Collatz Conjecture) using visually appealing and varied graphics, which can capture attention and spark curiosity. The inclusion of a URL suggests further exploration, appealing to those interested in the topic.
Summary
The post visualizes the Collatz Conjecture, a mathematical rule where numbers are repeatedly transformed (even numbers divided by 2, odd numbers multiplied by 3 and added to 1) with the suggestion that all numbers eventually reach 1. It presents various graphical representations of this process and its sequences.
Structure
- 1Introduction to the 3n+1 problem
- 2Visualizing sequences and branches
- 3Depicting the number of steps for numbers up to 100,000
- 4Illustrating the distribution of sequence lengths
On-screen text
3n+1
Collatz Sequence for Numbers 1 to 100,000 http://swimmingthestyx.com
2048
1024
512
256
128
64
32
16
8
4
2
1
341
170
85
42
21
64
32
16
8
4
2
1
340
168
84
42
21
64
32
16
8
4
2
1
336
160
80
40
20
10
5
16
8
4
2
1
320
160
80
40
20
10
5
16
8
4
2
1
53
26
13
40
20
10
5
16
8
4
2
1
52
26
13
40
20
10
5
16
8
4
2
1
48
24
12
6
3
10
5
16
8
4
2
1
x 10^4
50
100
150
200
250
300
350
400
450
500
550
Original caption
The Collatz Conjecture is a mathematical rule: if the number is even, divide it by 2; if it's odd, multiply it by 3 and add 1. The conjecture suggests that no matter what number you start with, you will eventually reach 1. No one has been able to prove this.
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