Equational Gallery Quiz

Welcome to your Equational Gallery Quiz

Name

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[Desmos,Equational Gallery]

How many ways will the Desmos tell you it loves you in a simple graph?

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[Desmos,Equational Gallery]

Select two equations below that give the same plot.

(x^2 + y^2)^2 = x^2 - y^2

(x^2 + y^2)^2 - y^2 = x^2 - 1

r = √cos(2θ)

r = acos(bθ)

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[Desmos,Equational Gallery]

Guess the equation that gives the set of concentric circles.

sin(x^2 + y^2)*cos(x^2 + y^2) = tan(x^2 + y^2)*sec(x^2 + y^2)

sin(sin(x) +cos( y)) = cos(sin(xy) +cos( y))

sin(x^2 + y^2) = cos(x^2 + y^2) / tan(x^2 + y^2)

cos(sin(x)) = sin(cos(y))

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[Desmos,Equational Gallery]

Create a visualisation of the worms in desmos. Which of the following does that

sin^2(xy) = tan^2(xy)*cos^2(xy)

sin(xy) * tan(xy) = cos(xy)

(x^2 / a^2) + (y^2 / b^2) + (z^2 / c^2) = 1

sin(x) + cos(y) = tan(x) + sec(y))

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[Harmonograph,Equational Gallery]

The minimum number of pendulums in Harmonograph is

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[Harmonograph,Equational Gallery]

What curves do the harmonographs generally draw?

Lissajous curves

Fractals

Spirals

Concentric circles

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Can you create the below curve?

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[Fractals,Equational Gallery]

Can you change the parameters in the Lorenz attractor to change the commonly known butterfly wing to a single spiral?

butterfly wing lorenz attractor

single spiral lorenz attractor

[Fractals,Equational Gallery]

Guess the attractor mimicking a globe?

Aizawa

Thomas

Chen

Sprout