PentaSolids

or

five Platonic Solids

A Penta Solid a 3D-PolyGon is

fitting in a Sphere

and self-symetrically

relating to each point

and also self-symetrically

relating to each face

is

There exist five (penta) of these Solids

TetraHedron, HexaHedron, OctaHedron, DodecaHedron, IcosaHedron

TetraHedron

3D-Tetra-Faced Solid

tetra TriGons

tetra Points

hexa lines

FourHedron

3D-Four-Faced Solid

four TriGons

four Points

six lines

HexaHedron

available terms: HexaHedron, Cube, Die

3D-Hexa-Faced Solid

hexa TetraGons

octa Points

dodeca lines

SixHedron

3D-six-Faced Solid

six FourGons

eight Points

twelve lines

OctaHedron

Cheops-Pyramid is upper half of an OctaHedron

3D-Octa-Faced Solid

octa TriGons

hexa Points

dodeca lines

EightHedron

3D-Eight-Faced Solid

eight ThreeGons

six Points

twelve lines

DodecaHedron

3D-Twelve-Faced Solid

dodeca PentaGons

icosa Points

triconta lines

TwelveHedron

3D-Twelve-Faced Solid

twelve FiveGons

twenty Points

thirty lines

IcosaHedron

3D-Twenty-Faced Solid

icosa TriGons

dodeca Points

triconta lines

TwentyHedron

3D-Twenty-Faced Solid

twenty ThreeGons

twelve Points

thirty lines

 ∧  ∧