Problems(1)
[asy]
unitsize(15);
for (int a=0; a<6; ++a)
{
draw(2*dir(60a)--2*dir(60a+60),linewidth(1));
}
draw((1,1.7320508075688772935274463415059)--(1,3.7320508075688772935274463415059)--(-1,3.7320508075688772935274463415059)--(-1,1.7320508075688772935274463415059)--cycle,linewidth(1));
fill((.4,1.7320508075688772935274463415059)--(0,3.35)--(-.4,1.7320508075688772935274463415059)--cycle,black);
label("1.",(0,-2),S);
draw(arc((1,1.7320508075688772935274463415059),1,90,300,CW));
draw((1.5,0.86602540378443864676372317075294)--(1.75,1.7));
draw((1.5,0.86602540378443864676372317075294)--(2.2,1));
draw((7,0)--(6,1.7320508075688772935274463415059)--(4,1.7320508075688772935274463415059)--(3,0)--(4,-1.7320508075688772935274463415059)--(6,-1.7320508075688772935274463415059)--cycle,linewidth(1));
draw((7,0)--(6,1.7320508075688772935274463415059)--(7.7320508075688772935274463415059,2.7320508075688772935274463415059)--(8.7320508075688772935274463415059,1)--cycle,linewidth(1));
label("2.",(5,-2),S);
draw(arc((7,0),1,30,240,CW));
draw((6.5,-0.86602540378443864676372317075294)--(7.1,-.7));
draw((6.5,-0.86602540378443864676372317075294)--(6.8,-1.5));
draw((14,0)--(13,1.7320508075688772935274463415059)--(11,1.7320508075688772935274463415059)--(10,0)--(11,-1.7320508075688772935274463415059)--(13,-1.7320508075688772935274463415059)--cycle,linewidth(1));
draw((14,0)--(13,-1.7320508075688772935274463415059)--(14.7320508075688772935274463415059,-2.7320508075688772935274463415059)--(15.7320508075688772935274463415059,-1)--cycle,linewidth(1));
label("3.",(12,-2.5),S);
draw((21,0)--(20,1.7320508075688772935274463415059)--(18,1.7320508075688772935274463415059)--(17,0)--(18,-1.7320508075688772935274463415059)--(20,-1.7320508075688772935274463415059)--cycle,linewidth(1));
draw((18,-1.7320508075688772935274463415059)--(20,-1.7320508075688772935274463415059)--(20,-3.7320508075688772935274463415059)--(18,-3.7320508075688772935274463415059)--cycle,linewidth(1));
label("4.",(19,-4),S);[/asy]The square in the first diagram "rolls" clockwise around the fixed regular hexagon until it reaches the bottom. In which position will the solid triangle be in diagram 4?[asy]
unitsize(12);
label("(A)",(0,0),W);
fill((1,-1)--(1,1)--(5,0)--cycle,black);
label("(B)",(6,0),E);
fill((9,-2)--(11,-2)--(10,1)--cycle,black);
label("(C)",(14,0),E);
fill((17,1)--(19,1)--(18,-1.8)--cycle,black);
label("(D)",(22,0),E);
fill((25,-1)--(27,-2)--(28,1)--cycle,black);
label("(E)",(31,0),E);
fill((33,0)--(37,1)--(37,-1)--cycle,black);[/asy]