Torinder (EntityTopic, 11)

From Higher Dimensions Database

(Redirected from Toratope 8a)


A torinder is the linear extension of a torus.

Equations

  • Variables:
R ⇒ major radius of the torinder
r ⇒ minor radius of the torinder
h ⇒ height of the torinder
  • All points (x, y, z, w) that lie on the surcell of a torinder will satisfy the following equation:
h ≥ |w|
r2 = (sqrt(x2 + y2) - R)2 + z2
x = (R + r cos(θ)) cos(Φ)
y = (R + r cos(θ)) sin(Φ)
z = r sin(θ)
w = w
surface area of margin = 8π2Rr
surcell volume = 4πRr(πr + h)
bulk = 2π2Rr2h
Unknown


Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonediconeconinder
Torii: tigertorispherespheritorustorinderditorus


7a. (III)I
Spherinder
7b. ((III)I)
Torisphere
8a. ((II)I)I
Torinder
8b. (((II)I)I)
Ditorus
9a. IIIII
Penteract
9b. (IIIII)
Pentasphere
List of toratopes