Completing a Tetrahedron to a Parallelepiped

a

1.18

b

1

c

1

d

1

e

1

f

1

2D/3D

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This Demonstration shows a completion of a tetrahedron

T

to a parallelepiped

P

. The four vertices of

T

are vertices of

P

, and the edges of

T

become four diagonals on the faces of

P

.

The construction is described in[1, pp. 106–107].

[1] V. V. Prasolov and I. F. Sharygin, Problems in Stereometry (in Russian), Moscow: Nauka, 1989.

Izidor Hafner