Tetrahedron (EntityTopic, 18)

From Hi.gher. Space

Revision as of 09:11, 14 March 2008 by Keiji (Talk | contribs)


A tetrahedron is a special case of a pyramid where the base is a triangle.

Equations

  • Variables:
l ⇒ length of edges of tetrahedron
  • All points (x, y, z) that lie on the surface of a tetrahedron will satisfy the following equations:
Unknown
  • All points (x, y, z) that lie on the edges of a tetrahedron will satisfy the following equations:
Unknown
total edge length = 6l
surface area = sqrt(3)l2
volume = 12-1sqrt(2)l3
  • The perpendicular height h of a tetrahedron is given by:
h = 3-1sqrt(6)l
Unknown

Use

Tetrahedral cells are found in these tetrashapes on FGwiki:


Notable Trishapes
Regular: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind

Template:Rotope Nav