Tetrahedron-in-the-box & Stellated Octahedron (also fits in the box)

Description

A Box And Lid That Make A Cube Outside And Has A Cube Shaped Space Inside And A Regular Tetrahedron Whose Edges Are The Same Length As The Diagonal Of Any Face Of The Inside Cube Space. The Tetrahedron Fits Inside The Box When One Of Its Edges Lays Diagonally On The Bottom Of The Box. This Demonstrates That A Regular Tetrahedron'S Vertices Can Be Defined By The Four End Points Of Two Perpendicular Diagonals On Opposing Sides Of A Cube. The Length Of An Edge Of The Tetrahedron Is Equal To The Length Of A Diagonal Of A Face Of The Inside Cube Space In The Box In This Thing. The Regular Tetrahedron And The Cube Are The First And Second "Plutonic Solids". The Sphere Is The Simplest Regular Solid, And The Tetrahedron Is The Simplest Regular Solid With Plane Sides. This Also Demonstrates That A Regular Tetrahedron Can Be "Parallel Projected", Viewing Along The Axis Formed By The Center Points Of Any Two Opposing Edges Of The Tetrahedron, To Form A Square. Added A Stellated Octahedron. The Stellated Octahedron, A.K.A, "Stella Octangula", May Be Thought Of As Two Tetrahedrons Combined, With One Tetrahedron Rotated 90 Degrees From The Other On Any One Of The Central Axes. This Stellated Octahedron Uses Two Combined Tetrahedrons Of The Same Size As The Tetrahedrons In This Thing, And Therefore, It Too Fits Perfectly Into The Same Box.

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