Eventuallyyouget a shapethatremember, thisissamesamebottlewherethefabricisgoinginonedirectionandtheotherdirectionit's There's a circularholewheremyfingertouchingthispartofthemanifoldisgoingleft.
Thisfingerisgoingtotheright, sothere's a roundholearoundhere.
Okay, I lookedatthatand I said, I'llbetthatthat's relatedtowhatintopologyiscalledacrossCap.
I lookedatand I said, OK, that's nicetoknow.
Sooneday I'm overheredoingthelaundryfree.
Comehere, checkthisout.
So I'm doingthelaundryoneday, and I were I reachinandpulloutmygenes.
Well, myjeanssee a lotofserviceand I pullitoutand I look a TTEthepantslikeandwell, ifthere's a holeintheknee, I knowthat I'llkeepwearingit.
If I hadittherightwayout, if I hadn't beenpulledinsideout, you'd beJustinordinarypantslegwith a holeinit, butpoppedoutofthedryerlookinglikethiswhen I lookedatitandsaid, Wait a second.
Thisshapeherewhereonesideisgoingthisway.
Thissideisgoingthisway.
It's thesamefabricshape.
There's a headwiththis.
Okay, so I said, Hey, I couldprobablymake a clangbottleoutofthispantsleg.
Sonowwehave a pantlegwith a holeinthekneeinthisfunnyshape.
What?
I'm callingacross, Captain.
I thinkit's a totallogicalcrosskept I havetodoisbringthisaroundinto a fellSeemtogetthis.
I know.
Have a Thisholehasgottabethesameifthiswholethispathwayuphereisthesameasthispathwayuphere.
Thisis a denimKleinbottlethatyoucanmakeandthewaytomakeit.
Ifyoudon't wanttouseDenham, isyousayOK, find a shirtor a pairofpantssoyouhave a shirtthat's, youknow, noyourusual J randomshirtandstartbycuttingthesleeveoff.