- published: 26 Feb 2016
- views: 355120
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.
Real-world examples of (approximately) toroidal objects include inner tubes, swim rings, and the surface of a doughnut or bagel.
A torus should not be confused with a solid torus, which is formed by rotating a disk, rather than a circle, around an axis. A solid torus is a torus plus the volume inside the torus. Real-world approximations include doughnuts, vadai or vada, many lifebuoys, and O-rings.
In topology, a ring torus is homeomorphic to the Cartesian product of two circles: S1 × S1, and the latter is taken to be the definition in that context. It is a compact 2-manifold of genus 1. The ring torus is one way to embed this space into three-dimensional Euclidean space, but another way to do this is the Cartesian product of the embedding of S1 in the plane. This produces a geometric object called the Clifford torus, a surface in 4-space.
Subscribe to my Channel for more awesome projects. https://m.youtube.com/user/HomedepotKt This Segmented Donut is made in Bocote and ash. There are 2340 pieces. It will be on display and for sale at the Design In Wood In Del Mar California in June. If you are interested in purchasing it contact Woodbytoth@gmail.com To keep up with my work throughout the week check out the links below. Thanks for watching! Love Tōth Also if you want to know why I love what I do check out my artist profile picture video done by Vigil Films. Its part of there Ardent Collection.... http://youtu.be/JjUzuECZN-0 Site: http://www.woodbytoth.com Facebook: https://facebook.com/woodbytoth Instagram: http://instagram.com/tothtoth Store: http://woodbytoth.bigcartel.com To support my videos and help me make mo...
The Torus is a fundamental geometry in the universe, and intimately connected to the essence of our existence. It demonstrates that Spirit and Science are One. Living in the Heart: http://thespiritscience.net/spirit/livingintheheart We would really appreciate if you share this video with someone you love. Understanding Unity is understanding Infinity, Love, and All ~ Of which you are a part of. To truly get into your heart is to get into the source of your essence, and the source field of the universe itself. The evidence is in the experience, and those walking the path of self discovery and becoming a being of Love truly are beginning to realize exactly what this means. The One is All, and the All is One. Namaste Angel Academy 4: Living in the Heart: http://www.youtube.com/watch?v...
This videos features James Grime with a little bit of Edward Crane. Ed's full discussion of Nash and embedding: https://youtu.be/5xQ4ePN79-M Nash shared both the Nobel and Abel Prizes. Full details. Nobel: http://www.nobelprize.org/nobel_prizes/economic-sciences/laureates/1994/ Abel: http://www.abelprize.no/c63466/seksjon/vis.html?tid=63467&strukt;_tid=63466 Other mathematicians have done much work in this field (we have focused on Nash in these videos). Great summary here: http://math.univ-lyon1.fr/~borrelli/Hevea/Presse/index-en.html And top paper on the corrugated torus: http://www.pnas.org/content/109/19/7218.full.pdf James Grime: http://singingbanana.com Edward Crane at the University of Bristol: http://www.maths.bris.ac.uk/~maetc/ Twisted Torus video: https://youtu.be/3_VydFQmtZ...
Featuring Professor Carlo Séquin - see more from him at: http://bit.ly/carlosequin More on this topic soon... Animation by Pete McPartlan: http://bit.ly/PeteMcPartlan Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brown papers: http://bit.ly/brownpapers A run-down of Brady's channels: http://bit.ly/bradychannels
Listen to the official preview of 'Torus' the first track from the new album from Sub Focus, 'Torus' 'Torus' is Out Now - get the Deluxe version http://po.st/SubFocusTorusDlxiT or the standard version http://po.st/SubFocusTorusiT from iTunes or the CD from Amazon http://po.st/TorusAmazon You can also pre-order the CD from Amazon http://po.st/TorusAmazon Get tickets to see Sub Focus on his UK Album Tour here http://bit.ly/16dYyPP http://subfocus.com http://facebook.com/subfocus http://twitter.com/subfocus http://soundcloud.com/subfocus
Sub Focus - Torus (Deluxe Version) FULL ALBUM 1 - Torus 0:00 2 - Safe In Sound 5:52 3 - Endorphins (feat. Alex Clare) 10:33 4 - Out the Blue (feat. Alice Gold) 14:30 5 - Twilight 19:09 6 - Close (feat. MNEK) 20:20 7 - Turn It Around (feat. Kele) 27:31 8 - Out of Reach (feat. Jayelldee) 30:46 9 - Falling Down (feat. Kenzie May) 34:51 10 - Turn Back Time 40:02 11 - You Make It Better (feat. Culture Shock & TC) 45:11 12 - Tidal Wave (feat. Alpines) 51:11 13 - Until the End (feat. Foxes) 55:02 14 - Eclipse 59:07 15 - Original 01:03:51 16 - Falling Down VIP (feat. Kenzie May) 01:07:23 17 - Endorphins (feat. Alex Clare) [Sub Focus vs. Fred V & Grafix Remix] 01:12:07 This Video Should Be Considered Free Advertisement for the Artists and Album I Own Nothing, All Credit Goes to Sub Focus Buy i...
Everyone has their white whale. This was mine. When I was a year into turning, I tried for a torus bowl, 4 times, never succeeding. Three years later, It was about time I gave it another go. Songs in this video are: Katy Kirby - Every Time Kelly Latimore - Leaving Rooms David Mumford - Bonfire Music Josh Woodward - Honcho Graham From Birmingham Swear and Shake - Suddenly MC Cullah - Please Bring Me Shelter All are available for free from http://www.freemusicarchive.org Feel free to share and recommend this video to your friends and family, a thumbs up would be appreciated, and if this is your first time to my channel, you are most welcome to subscribe! A shout out to some of my great tutors and friends channels: Custom Chris - https://www.youtube.com/user/customchevy03 Cyrus Fillmor ...
This is an extract from the documentary Thrive 2011 describing 'THE TORUS' and 'TOROIDAL FLOW....... Everybody watch and understand the significance of this Inc. free unlimited energy. all future technology for space travel including interstellar. i include a link for the spherical arrangement of the ICHING symbols that i have used to theorize that the great 2012 experience is as we approach the singularity at the Toroidal center which in compasses our known universe. we are currently traveling through the vortex of The Torus, first link is a high resolution representation of the ICHING Hexagrams clearly arranged within a sphere in a Toroidal flow http://adamapollo.info/img/knowledge/knowledge-iching-sphere-full.jpg http://www.i-ching.hu/chp00/chp2/reconstruct.htm
Brush off my shoulders, but not 'cause it's colder
Will it get better, now that we're older?
Remember the feeling, a tear of emotion
To be high as a mountain, as deep as the ocean
How I wish I could turn back time (x11)
Oh, I just hate being without you
It's just another thing to break through
Carry the hurt I dare not speak it
Bring back the love that we all believe in
How I wish I could turn back time (x11)