Kuchokera ku 3D kupita ku 4D m'maphunziro awiri
M'malo mwake, woyera amayamba kusewera. M'malo mwake, woyera amayamba kusewera. M'malo mwake, woyera amayamba kusewera. M'malo mwake, woyera amayamba kusewera.
1. Pezani 3D board yanu imodzi mwa coordinate
Kuganizira 3D chessboard monga masamba a ma board otchuka. X ndi Y amapeza square m'gulu la ma layer; Z amasankha layer. Muli pano, 3D board ali ndi masamba awiri 4 × 4: bokosi lamanja ndi Z = 0 ndi bokosi lamanja ndi Z = 1.
Now make a second copy of that whole 3D board. W chooses which copy you are in: the bottom row of boards is W = 0, the top row is W = 1. Every square has a twin in the other copy, and a move along W changes copies while keeping X, Y and Z the same.
Mu chithunzi cha tesseract, W = 0 ndi kubowola kwamkati ndipo W = 1 ndi kubowola kwakunja. Ambiri mwa iwo ali ndi ukubwa umodzi; kubowola kwamkati kumawoneka kuti ndi kocheperako chifukwa cha projection. W ndi njira ya space, si nthawi.
| Axis | Kumeneko kumakubweretserani |
|---|---|
| X | Kudzera board, mafayilo a kuti d. |
| Y | M'madera ena, 1 mpaka 4. |
| Z | Kuchokera pamanja kupita kumanzere ndi kumanja, m'malo mwake, pali maziko awiri. |
| W | Kuchokera pansi ndi pamwamba ma boardes mu umodzi wofanana bokosi. |
a1[0,1] amatanthauza fayilo a, 1, Z = 0, W = 1: a1 pa pamwamba-kachiwiri board.
2. Onani kukwaniritsa kwa chilichonse
Imakhala pa b2 ya board ya pansi pamanja ndi mbali ina ya board yosaoneka, ndipo pamalo onse omwe ingathe kufika, imawala pa board yosaoneka komanso pa tesseract.
3. Kuwerengera coordinates kuti kusintha
Kuganizirani kuchoka ndi ma coordinates ake, osati mmene zimawoneka. Kuchoka kwa W kungawoneke ngati kuzungulira m'chithunzichi komabe ndi kuchoka kwa m'chipinda chokha. Kusinthanitsa kuyang'ana kumasintha momwe kuchoka kumawoneka, komabe sikuti ndi lamulo.
Kusintha kokha chimodzi coordinate ndi winawake m'mbali.
Kusintha W ndi Z limodzi ndi diagonal, kotero rook singathe kuchita izo.Kusintha koyenera ma coordinates awiri ndi maulendo ofanana.
X + W kapena Z + W ntchito. X + Y + W amasintha atatu axis ndi si.Gwiritsani ntchito ma coordinate awiri kuti musinthe wina ndi mzake.
Chigawo cha awiri-mlingo ayenera kugwiritsa ntchito X kapena Y; Z ndi W ali ndi malo awiri okha.Gwiritsani ntchito mfundo za m'mawu kuti musinthe mfundo za m'mawu.
Gawo limodzi pa onse awiri axis ndi ufulu. awiri pa X ndi mmodzi pa W si.Kusintha chilichonse non-chonse kugwirizana kwa coordinates ndi mphindi imodzi.
M'madera ena, kuwala kwa dzuwa kumatha kuwononga zinthu zonse m'nyumba.Advance imodzi yopanda malire kuzungulira Y. Kupeza imodzi Y kumbuyo patsogolo ndi imodzi kumbuyo mofanana ndi imodzi ya X, Z kapena W
Mdima amapita ku 4, Mdima ku 1. Kufika kwa iye kumapanga mkazi.Any bishop or queen move involving Z or W is at most one step long, because those axes only run from 0 to 1. X and Y each have four positions.
4. Pezani zoletsa m'mphepete mwa W
Mkulu akhoza kukhala m'chikuto kuchokera pa chidutswa m'chipinda china. Mkulu pa a1 pa board pansi pamanja kumanja amatsutsa mkulu pa a1 pa board pamwamba pamanja kumanja ku W. Mtunda pazenera sakutetezani.
Mukhoza kulowa m'manja wa wotsutsa, kuletsa kulimbana kwa m'mbali, kapena kunyamula mfumu, ngati zotsatira zake ndi zabwino. Kulimbana kwa m'mbali ndi njira imodzi sikunali ndi malo pakati pawo kuti alepheretse. Mzere umodzi wopita m'mbali m'mafanizo sayenera kugawana malo: chidutswa chimalepheretsa kuchoka kwa m'mbali ngati malo ake onse a X, Y, Z, W ali panjira. M'manja amapita.
Kukhazikitsa, kunyamula padera ndi kusewera
M'gulu labwino, m'modzi mwa osewera amapeza magulu onse a m'chiwembu: mfumu, mkazi, nyumba ziwiri, bishopu awiri, m'bale awiri ndi kapolo awiri. M'gulu labwino, m'modzi mwa osewera amapeza magulu onse a m'chiwembu: mfumu, mkazi, nyumba ziwiri, bishopu awiri, m'bale awiri ndi kapolo wina. M'gulu labwino, m'modzi mwa osewera amapeza magulu onse a m'chiwembu: mfumu, mkazi, kapolo awiri, bishopu, m'bale ndi kapolo wina. M'gulu labwino, m'modzi mwa osewera amapeza magulu onse a m'chiwembu: mfumu, mkazi, kapolo, kapolo wina, bishopu, m'bale ndi kapolo wina.
M'masewerawa, kupambana kumachitika mwa kulephera, kuchitika kwachitatu kwa m'malo ofanana ndi m'mbali yofanana yosayenda, kuchitika kwa m'njira 100 popanda kutuluka kapena kulowa kwa peoni, kapena kuchitika kwa m'nyumba ya mfumu yachiwiri. M'nyumba ya mfumu siyimalowa. M'masewera osankhidwa, kusankhidwa kumachitika mwa kugwiritsa ntchito Glicko-2, njira yosankhidwa yomweyo monga ya chess.com ndi lichess.
Keyboard: Tab kuti square, Enter kapena Space kusankha kapena kunyamula, zigawo zikuluzikulu m'manja board, Alt + zigawo zikuluzikulu pakati pa ma board, Escape kuchotsa.
Pitani
Ukhale woyera. Pitani ndi mkuwa wanu pa a1 ku board ya pamwamba: a1[0,0] → a1[0,1]. Makina aang'ono amayankha.
Malamulowa amatsatira mtundu wa 4D wa masewera a chess otsegulidwa pa board 4×4×2×2, komwe malamulo ofanana a msewu amagwira ntchito pamalo onse.