folding a paper triangle to get surface of a regular unit tetradragon
Source: III Soros Olympiad 1996-97 R2 11. 5 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 31, 2024
geometrycombinatorial geometry
Problem Statement
Prove that this triangle cut out of paper can be folded so that the surface of a regular unit tetradragon (i.e., a triangular pyramid, all edges of which are equal to ) is obtained if:
a) this triangle is isosceles, the lateral sides are equal to , the angle between them is ,
b) two sides of this triangle are equal to and , the angle between them is .