jodawi: (heart pool)
Apophenia ([personal profile] jodawi) wrote2005-03-02 02:31 pm
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Here's your task: find the next number in the series. There's no right or wrong answer, it's an Art project.

Bonus self-happiness if you recognize what the numbers come from.
V) 4, 8, 6, 20, 12, ___
E) 6, 12, 12, 30, 30, ___
F) 4, 6, 8, 12, 20, ___
P) 3, 4, 3, 5, 3, ___
Q) 3, 3, 4, 3, 5, ___
A) Sqrt(8)/3, 1, Sqrt(8)/3, 2/Sqrt(5), 2/3, ___

[notebook scratchings]

[identity profile] jodawi.livejournal.com 2005-03-02 11:15 pm (UTC)(link)
V - E + F = 2
1, 1, 2, 3, 5, 8, 13, 21, ...
2, 2, 4, 6, 10, 16, 26, 42, ...
5, 5, 10, 15, 25, 40, 65, 105, ...

V)
v0: 2
v1: v0 + v0 = 4
v2: (v0 + v1) + v0 = 8
v3: (v1 + v2) / v0 = 6
v4: ((v2 * v3) - v2) / v0 = 20
v5:

[identity profile] jodawi.livejournal.com 2005-03-02 11:24 pm (UTC)(link)
P = E . F
Q = E . V

Q = 3, P so Q5 = 3 edges per vertex