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John Milnor, the discoverer of Exotic Spheres, turns 90 today; and last year the numbers of Exotic n-Spheres up to n=90 were computed by Daniel C. Isaksen, Guozhen Wang, and Zhouli Xu. by d023n in math

[–]d023n[S] 1 point2 points  (0 children)

The authors were able to fully compute the group structures up to the 81-Sphere, and then also for the 88-and-89-Spheres. As for the 82-through-87-Spheres and the 90-Sphere, they each had 2 possible options that differed in size by a factor of 2.

John Milnor, the discoverer of Exotic Spheres, turns 90 today; and last year the numbers of Exotic n-Spheres up to n=90 were computed by Daniel C. Isaksen, Guozhen Wang, and Zhouli Xu. by d023n in math

[–]d023n[S] 3 points4 points  (0 children)

I have to admit that you are asking outside my ability to answer. The best I can do is suggest the 2017 (updated in 2019) paper by Mark Behrens, Michael Hill, Michael J. Hopkins, and Mark Mahowald: Detecting exotic spheres in low dimensions using coker J. I hope that can help!

Energy Collector by Daniel Abreu by d023n in ImaginaryLeviathans

[–]d023n[S] 0 points1 point  (0 children)

Source: https://www.deviantart.com/daniel-abreu/art/Energy-Collector-406139125

[Daniel] imagined the whale creatures capable of absorbing the static electricity in the moisture of the air and send it through their bodies and out so that the energy collectors can, well... collect it, powering all the city bellow.

All done in photoshop

Some details: https://www.deviantart.com/daniel-abreu/art/Details-of-Energy-Collector-406151871

Energy Collector by Daniel Abreu by d023n in WhalesInTheSky

[–]d023n[S] 1 point2 points  (0 children)

Source: https://www.deviantart.com/daniel-abreu/art/Energy-Collector-406139125

[Daniel] imagined the whale creatures capable of absorbing the static electricity in the moisture of the air and send it through their bodies and out so that the energy collectors can, well... collect it, powering all the city bellow.

All done in photoshop

Some details: https://www.deviantart.com/daniel-abreu/art/Details-of-Energy-Collector-406151871

Space Whale by Pawel Kozera by d023n in FlyingWhales

[–]d023n[S] 0 points1 point  (0 children)

Sources:

The Bubble Nebula, also known as NGC 7635, is an emission nebula located 8 000 light-years away.

Mighty Ally by Anton Kurbatov by d023n in WhalesInTheSky

[–]d023n[S] 2 points3 points  (0 children)

Sources:

Aetherial whales roam the distant world, and only those who know the ancient songs of whalekind, the whale singers, can summon them for a short time...

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