PROJECT 2: PLATONIC SOLIDS

PROBLEM:

Construct 3 platonic solids using bristol paper. Draw two sketches of the objects: one tonal value rendering and one linear sketch.

•  4" cube
• 4" tetrahedron
• 4" octahedron

RESEARCH:

1. Platonic Solids
A three dimensional geometric object or polyhedron must have two components in order to be deemed a platonic solid - the faces must all be congruent polygons and each vertex must have the same number of faces. A classic example would be the cube. Each face is congruent in shape and size and three faces meet at each vertex. The image below shows the 5 platonic solids.

2. Archimedean Solids
An archimedean solid is a polyhedron that must contain the following key characteristics: they must be composed of 2 or more types of regular polygons, and at every vertex, the regular polygons much meet in the same sequence.  The archimedean solid also must be convex. It is also highly symmetric since the identical vertices are repeated throughout the solid. The 13 types of archimedean solids are shown in the image below.

PROCESS:

CUBE:

TETRAHEDRON:

OCTAHEDRON: 

FINAL SKETCHES:

Line Drawing

Tonal Sketch