G, K, and L are collinearDet[{{1 – r, v – 1, 1}, {R*Cos[–2*z] + √2*Cos[π/2 – z + θ + (1*π)/4], R*Sin[–2*z] + √2*Sin[π/2 – z + θ + (1*π)/4], 1}, {R*Cos[–2*z] + √1*Cos[π/2 – z + θ + (2*π)/4], R*Sin[–2*z] + √1*Sin[π/2 – z + θ + (2*π)/4], 1}}] = 0Det[{{1 – r, v – 1, 1}, {–Sin[θ – z], Cos[θ – z], 0}, {R*Cos[–2*z] – Cos[θ – z], R*Sin[–2*z] – Sin[θ – z], 1}}] = 0s = 4*Cos[θ/2 – z/2]*Sin[z/2]*(Cos[θ/2 – z] – Cos[θ/2] + 2*Sin[θ/2 – z])/(Sin[θ]*(2 – 2*Cos[z] + Cos[2*z]) – Cos[θ]*Sin[2*z])
>>16860940C, J, and K are collinearDet[{{R*Cos[2*z] + √2*Cos[π + z + (1*π)/4], R*Sin[2*z] + √2*Sin[π + z + (1*π)/4], 1}, {R*Cos[–2*z] + √1*Cos[π/2 – z + θ + (0*π)/4], R*Sin[–2*z] + √1*Sin[π/2 – z + θ + (0*π)/4], 1}, {R*Cos[–2*z] + √2*Cos[π/2 – z + θ + (1*π)/4], R*Sin[–2*z] + √2*Sin[π/2 – z + θ + (1*π)/4], 1}}] = 0Det[{{Sin[θ – z] + Sin[z] – Cos[z], 2*R*Sin[2*z] – Cos[θ – z] – Sin[z] – Cos[z], 0}, {0, 0, 1}, {–Cos[θ – z], –Sin[θ – z], 0}}] = 0s = (1 + Cos[θ – 2*z] – Sin[θ – 2*z])/(Cos[θ – 2*z] + Cos[θ])
>>16861188Solve[{4*Cos[θ/2 – z/2]*Sin[z/2]*(Cos[θ/2 – z] – Cos[θ/2] + 2*Sin[θ/2 – z])/(Sin[θ]*(2 – 2*Cos[z] + Cos[2*z]) – Cos[θ]*Sin[2*z]) = (1 + Cos[θ – 2*z] – Sin[θ – 2*z])/(Cos[θ – 2*z] + Cos[θ]), z = π/5}, θ]
k
>no latexkys schizo
>>16861845B, C, and H are collinearG, K, and L are collinearC, J, and K are collinear
>>16861845>Solve[{4*Cos[θ/2 – z/2]*Sin[z/2]*(Cos[θ/2 – z] – Cos[θ/2] + 2*Sin[θ/2 – z])/(Sin[θ]*(2 – 2*Cos[z] + Cos[2*z]) – Cos[θ]*Sin[2*z]) = (1 + Cos[θ – 2*z] – Sin[θ – 2*z])/(Cos[θ – 2*z] + Cos[θ]), z = π/5}, θ]Grok wrote, that the following equation is "a nasty transcendental beast".4*Cos[θ/2 – π/10]*Sin[π/10]*(Cos[θ/2 – π/5] – Cos[θ/2] + 2*Sin[θ/2 – π/5])/(Sin[θ]*(2 – 2*Cos[π/5] + Cos[2*π/5]) – Cos[θ]*Sin[2*π/5]) = (1 + Cos[θ – 2*π/5] – Sin[θ – 2*π/5])/(Cos[θ – 2*π/5] + Cos[θ])After a while, I asked Grok to draw "a nasty transcendental beast".
>>16863361chat bots are brainrot x100 worse than /sci/, which is already brainrot x100 times worse than 4gay which used to be the definition of brainrot
>>16863366>chat bots are brainrot x100 worse than /sci/No, there's nothing worse than /sci/.>brainrotis caused by modern well-poisoning.For example, by radioactive tap water "compliments of" hostile military intelligence.
>>16862282>kysI know you should, but what should I?>schizoI know you are, but what am I?
>>16860940problems that can be described with the matrix math operators
>>16864875No such thing.