How do mathematicians define symmetry?

• Symmetry is an extrinsic property of a mathematical object.

• Symmetry is a property that causes a mathematical object to remain invariant under certain classes of transformations.

• Symmetry is a property that causes a mathematical object to expand under certain classes of transformations.

• Symmetry is a property that causes a mathematical object to change under certain classes of transformations.

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Who claimed that 'all a priori statements in physics have their origin in symmetry'?

• Hermann Weyl

• Isaac Newton

• Stephen Hawking

• Albert Einstein

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What theorem states that each symmetry of a system leads to a physically conserved quantity in physics?

• Fermat's last theorem

• Noether's symmetry theorem

• Pythagoras' theorem

• Euler's theorem

Who developed the branch of abstract algebra called Group Theory?

• Pierre-Simon Laplace

• Carl Friedrich Gauss

• Leonhard Euler

• Evariste Galois

What is the name of the theorem that describes the crystallographic restriction on wallpaper patterns?

• Symmetry breaking theorem

• Crystallographic theorem

• Noether's theorem

• Penrose theorem

Which artist is known for creating artworks with intriguing symmetries?

• Vincent van Gogh

• Pablo Picasso

• Leonardo da Vinci

• Claude Monet

What is the name of the phenomenon in physics where small fluctuations decide the system's fate as it crosses a critical point?

• Fractal symmetry

• Crystallographic symmetry

• Symmetry breaking

• Symmetry transformation

Which animal has evolved to swim with one side upward, resulting in both eyes being on one side of the face?

• Swordfish

• Flounder

• Shark

• Dolphin

What is the name of the theorem that describes the crystallographic restriction on wallpaper patterns?

• Crystallographic theorem

• Noether's theorem

• Penrose theorem

• Symmetry breaking theorem

Which artist is known for creating artworks with intriguing symmetries?

• Vincent van Gogh

• Pablo Picasso

• Claude Monet

• Leonardo da Vinci