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Can all groups be thought of as the symmetries of a geometrical object?

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#abstract-algebra #group-theory #geometry #soft-question #symmetry
626
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Why are $10$-sided dice not bipyramids?

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#geometry #dice #symmetry
220
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Multivariable calculus involving considering symmetries and change of variables

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#multivariable-calculus #symmetry #multiple-integral
28
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Complete characterization of equiangular polygons with two alternating edge lengths

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#symmetry #angle #polygons
239
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How to prove axis of symmetry for Bezier-Bernstein curve?

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#polynomials #symmetry #bezier-curve
46
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Is every rotationally-invariant $k$-covector zero?

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#inner-products #volume #alternative-proof #symmetry #exterior-algebra
591
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Does every compact Lie group admit a bi-invariant differential $k$-form?

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#differential-geometry #lie-groups #differential-forms #volume #symmetry
145
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Is there a correspondence between different hyperbolic automorphisms of a regular tree?

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#group-theory #graph-theory #symmetry #automorphism-group #infinite-graphs
142
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Connection Between Bilinear Form and Symmetrie Axes of an Ellipse

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#linear-algebra #linear-transformations #conic-sections #symmetry #bilinear-form
301
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Symmetries of a 4-demicube

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#symmetry #polytopes #automorphism-group #coxeter-groups
103
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Taylor expansion on Spherically Symmetric Manifold

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#taylor-expansion #riemannian-geometry #smooth-manifolds #polar-coordinates #symmetry
828
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Integral of some anti/symmetric functions of two variables

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#integration #multivariable-calculus #symmetry
118
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Definition of Symmetry combining linear algebra and algebra

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#geometry #symmetry
103
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Which polytopes are $01$-polytopes?

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#combinatorics #geometry #reference-request #symmetry #polytopes
122
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Surfaces in $\mathbb{R}^3$: decomposition of surface isometry into rigid motion and surface symmetries

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#differential-geometry #riemannian-geometry #surfaces #riemann-surfaces #symmetry

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