01 Polyhedron Compound

Cone, Sphere, Cylinder

Three Squares

Cube Octahedron Compound

Dodecahedron Icosahedron Compound

Great Dodecahedron

Stella Octangula


02 Cupola

Eight Circles of the Same Size Each Tangent to the Other Three

Pentagonal Cupola

Pentagonal Rotunda

Pentagrammic Antiprism

Square Cupola

Pentagonal Gyrobicupola

Pentagonal Orthocupolarotunda


03 Johnson Solids

Augmented Dodecahedron

Augmented Pentagonal Prism

Biaugmented Pentagonal Prism

Metabiaugmented Dodecahedron


04 Spherical Geometry

Five Tetrahedra in a Dodecahedron

Intersections of lines of the same color are symmetrical with respect to a midpoint on the sphere

isogonal lines concur on a sphere

Lines of the same color are symmetrical with respect to the ex-center on the sphere


05 Inversion

Common Intersection of Polar Planes

Polar Plane of a Point with respect to a Tetrahedron


06 Circles of Sphere, Rhombic Polyhedra

12 Circles Meeting at 12 Points

20 Tetrahedra