The Long Run Guess
.oN
CCMiniLP, my CCLP1 submissions. Outdated, not recommended.
CCSignificantlyLargerLP, my CCLP4 submissions. More current than my main set.
Consistent Inconsistency (ongoing), my main CC1 custom set. (discussion)
RyanJ1.dat (ongoing), my main CC2 custom set. (discussion)
Mystery Project (unfinished) (previews)

YouTube | Twitch | Steam
Reply
Is it of the form a * i, where a is an irrational number?
You should probably be playing CC2LP1.

Or go to the Chip's Challenge Wiki.
Reply
Assuming you mean a is an irrational real number (because otherwise it's a repeat of your previous question), no.
CCMiniLP, my CCLP1 submissions. Outdated, not recommended.
CCSignificantlyLargerLP, my CCLP4 submissions. More current than my main set.
Consistent Inconsistency (ongoing), my main CC1 custom set. (discussion)
RyanJ1.dat (ongoing), my main CC2 custom set. (discussion)
Mystery Project (unfinished) (previews)

YouTube | Twitch | Steam
Reply
Hint: the number is of the form a + bi, where (a<sup>2</sup> + b<sup>2</sup>)<sup>1/2</sup> is an integer.
CCMiniLP, my CCLP1 submissions. Outdated, not recommended.
CCSignificantlyLargerLP, my CCLP4 submissions. More current than my main set.
Consistent Inconsistency (ongoing), my main CC1 custom set. (discussion)
RyanJ1.dat (ongoing), my main CC2 custom set. (discussion)
Mystery Project (unfinished) (previews)

YouTube | Twitch | Steam
Reply
r exp(iφ), r∈ℕ, φ∈ℝ
still an infinite amount of possibilities for r as well as φ Rolling eyes

I'll anyhow take a shot in the dark:
r∈{5,10}, φ∈{±atan(3/4),±atan(4/3)}
Reply
No and no.
CCMiniLP, my CCLP1 submissions. Outdated, not recommended.
CCSignificantlyLargerLP, my CCLP4 submissions. More current than my main set.
Consistent Inconsistency (ongoing), my main CC1 custom set. (discussion)
RyanJ1.dat (ongoing), my main CC2 custom set. (discussion)
Mystery Project (unfinished) (previews)

YouTube | Twitch | Steam
Reply
If abs(a),abs(b) ≤ 100 there are some more simple possibilities:

φ∈{±atan(x<sup>±1</sup>):x∈{5/12, 7/24, 8/15, 9/40, 11/60, 12/35, 13/84, 16/63, 20/21, 20/99, 28/45, 33/56, 36/77, 39/80, 48/55, 60/91, 65/72}}

(of course these can lead to a, b way bigger than 100, but not every possibility has to be covered above 100) if φ is not an element of this set, either a or b are irrational (since you wrote in a previous answer, b isn't the irrational part, a is irrational), or you constructed the numbers some other way, but without knowing the algebraic curve you've chosen to do so, this wouldn't help anyhow, however as they are constructed to have this form in either way, it would be basically impossible to guess them... Confused
Reply
Quote:Is it related to Pi?
Quote:Nope.

This may have been before i understood the polar form of complex numbers. π does show up in the number if written in the form re<sup>iθ</sup>. Apologies for any confusion.


Quote:abs(a),abs(b) ≤ 100

Yes.


Quote:φ∈{±atan(x<sup>±1</sup>):x∈{5/12, 7/24, 8/15, 9/40, 11/60, 12/35, 13/84, 16/63, 20/21, 20/99, 28/45, 33/56, 36/77, 39/80, 48/55, 60/91, 65/72}}

φ is none of those numbers.


Quote:(since you wrote in a previous answer, b isn't the irrational part, a is irrational)

I said the number is not of the form a*i, where a is rational or real. That means, in a+bi, where a,b∈ℝ, one or both of a and b is irrational.
CCMiniLP, my CCLP1 submissions. Outdated, not recommended.
CCSignificantlyLargerLP, my CCLP4 submissions. More current than my main set.
Consistent Inconsistency (ongoing), my main CC1 custom set. (discussion)
RyanJ1.dat (ongoing), my main CC2 custom set. (discussion)
Mystery Project (unfinished) (previews)

YouTube | Twitch | Steam
Reply
Recap:
  • The number is algebraic and irrational.
  • The number is not real or imaginary (i.e. in rectangular form [a+bi, a∈ℝ, b∈ℝ], a and b are both non-zero).
  • The number, written in polar form (re<sup>iθ</sup>, r∈ℝ, 0≤θ<2π), contains π.
  • r∈ℤ, r ≠ 5, r ≠ 10, |a| ≤ 100, |b| ≤ 100.
  • tan(|θ|) ∉ A and cot(|θ|) ∉ A, where A = {3/4, 5/12, 7/24, 8/15, 9/40, 11/60, 12/35, 13/84, 16/63, 20/21, 20/99, 28/45, 33/56, 36/77, 39/80, 48/55, 60/91, 65/72}.


New hint: the number is a root of a non-zero
polynomial in one variable
with integer coefficients and
degree no greater than 5.
CCMiniLP, my CCLP1 submissions. Outdated, not recommended.
CCSignificantlyLargerLP, my CCLP4 submissions. More current than my main set.
Consistent Inconsistency (ongoing), my main CC1 custom set. (discussion)
RyanJ1.dat (ongoing), my main CC2 custom set. (discussion)
Mystery Project (unfinished) (previews)

YouTube | Twitch | Steam
Reply


Forum Jump:


Users browsing this thread: 4 Guest(s)