"an arbitrarily large number of objects that can all touch one another"
I think one must be careful to define "object" and "touch." Otherwise, all these $n$ line segments (objects) intersect (touch) at the origin:
But this example violates the spirit of yourthe OP's questions.
"an arbitrarily large number of objects that can all touch one another"
I think one must be careful to define "object" and "touch." Otherwise, all these $n$ line segments (objects) intersect (touch) at the origin:
But this example violates the spirit of your questions.
"an arbitrarily large number of objects that can all touch one another"
I think one must be careful to define "object" and "touch." Otherwise, all these $n$ line segments (objects) intersect (touch) at the origin:
But this example violates the spirit of the OP's questions.
"an arbitrarily large number of objects that can all touch one another"
I think one must be careful to define "object" and "touch." Otherwise, all these $n$ line segments (objects) intersect (touch) at the origin:
But this example violates the spirit of your questions.
"an arbitrarily large number of objects that can all touch one another"
I think one must be careful to define "object" and "touch." Otherwise, all these $n$ line segments (objects) intersect (touch) at the origin:
"an arbitrarily large number of objects that can all touch one another"
I think one must be careful to define "object" and "touch." Otherwise, all these $n$ line segments (objects) intersect (touch) at the origin:
But this example violates the spirit of your questions.
"an arbitrarily large number of objects that can all touch one another"
I think one must be careful to define "object" and "touch." Otherwise, all these $n$ line segments (objects) intersect (touch) at the origin:
