differential topology, sphere eversion is the process of turning a sphere inside out in a three-dimensional space (the word eversion means "turning inside...

up eversion in Wiktionary, the free dictionary. Eversion (from the verb evert) is the process of turning inside-out. Eversion may refer to: Eversion (kinesiology)...

In geometry, minimax eversions are a class of sphere eversions, constructed by using half-way models. It is a variational method, and consists of special...

sphere inside out in a three-dimensional space with possible self-intersections but without creating any creases, in a process called sphere eversion...

group that first exhibited an eversion of the sphere, i.e., a homotopy which starts with a sphere and ends with the same sphere but turned inside-out. He...

half-way model of the sphere eversion discovered by Bernard Morin. It features fourfold rotational symmetry. If the original sphere to be everted has its...

Two-dimensional manifolds are also called surfaces. Examples include the plane, the sphere, and the torus, and also the Klein bottle and real projective plane. The...

(non-complete) Riemannian metric of positive (or negative) curvature. Sphere eversion without creasing or tearing can be done using C 1 {\displaystyle C^{1}}...

^{n}} ⁠ as the homotopy groups of a certain Stiefel manifold. The sphere eversion was a particularly striking consequence. Morris Hirsch generalized...

immersion of the sphere into three-dimensional space can be deformed (through immersions) into its negation, which is now known as sphere eversion. He also extended...

straight line intersecting the Nikodym set only in that point. Sphere eversion: A sphere can, topologically, be turned inside out. Abilene paradox: People...

fact that seven colors are necessary and sufficient on the doughnut. Sphere eversion is described in terms of two separate wormholes filling an apple. Reminding...

pieces. Boy's surface can be used in sphere eversion, as a half-way model. A half-way model is an immersion of the sphere with the property that a rotation...

diagonal surface demonstrates the 27 lines on a cubic surface. Sphere eversion – that a sphere can be turned inside out in 3 dimension if allowed to pass...

ball theorem Poincaré–Hopf theorem Stokes' theorem De Rham cohomology Sphere eversion Frobenius theorem (differential topology) Distribution (differential...

1957 – Stephen Smale provides the existence proof for crease-free sphere eversion. 1958 – Alexander Grothendieck's proof of the Grothendieck–Riemann–Roch...

A Morin surface, an immersion used in sphere eversion....

immersions of the projective plane, and deformations between them; sphere eversion and the Morin surface; group theory, the mapping class groups of surfaces...

2-sphere immersed in R 3 {\displaystyle \mathbb {R} ^{3}} . In particular, this means that sphere eversions exist, i.e. one can turn the 2-sphere "inside-out"...

space rendering of knot complements. [1] Outside In, a movie about sphere eversion. [2] The shape of space, exploring possible three dimensional spaces...

Willmore energy is used in constructing a class of optimal sphere eversions, the minimax eversions. Willmore conjecture Bryant, Robert L. (1984), "A duality...

2017 film Outside In, a 1994 computer-generated film demonstrating sphere eversion created by the Geometry Center Outside In (book), a 2020 picture book...

Newton, Massachusetts) was an American mathematician known for his eversion of the sphere and Shapiro's lemma. He also was the author of an article on Clifford...

of California, (retrieved July 27, 2012). "A History of Sphere Eversions" – Turning a sphere inside out, (retrieved July 27, 2012). Brief History of the...

(disambiguation) Sexual inversion (disambiguation) Involution (disambiguation) Eversion (disambiguation) Reversal (disambiguation) This disambiguation page lists...

man. Themes explored include the ubiquity of locative technology, the eversion of cyberspace and the political climate of the United States in the aftermath...

"Vaginal length and sexual function after colpopexy for complete uterovaginal eversion". American Journal of Obstetrics and Gynecology. 169 (2): 284–288. doi:10...

one-dimensional case of the mean curvature flow Willmore flow, as in minimax eversions of spheres Inverse mean curvature flow Intrinsic geometric flows are flows on...

Entertainment Sony Online Entertainment, Gamania, Akella, Square Enix, Ubisoft Eversion 2010 Zaratustra Productions Zaratustra Productions Everyday Shooter 2007...

becomes moderately famous for a while during the period after the sky eversion. Cornell signs up for a pharmaceutical testing program to earn some money...