TEASER - 06
TOUCHING BALLS
How many balls of same size can remain in touch with each other at the same time?
THE EXPLANATION:
On a two dimensional plane (2D), a maximum of three balls can remain in touch with each other at a time.
THREE BALLS OF EQUAL SIZE ON A FLAT SURFACE (2D)
In three dimension (3D), a maximum number of four balls can remain in touch with each other at a time and form a tetrahedron. Three balls together forming each face of a tetrahedron.
FOUR BALLS OF EQUAL SIZE IN A BOX (3D)
On a plane (2D), a single central ball can remain in touch with a maximum of six balls of same size at a time, making an hexagonal shape.
SIX BALLS OF EQUAL SIZE ON A FLAT SURFACE (2D)
In three dimension (3D) a single central ball can remain in touch with 12 balls of same size at a time.
TWELVE BALLS OF EQUAL SIZE IN A BOX (3D)
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