Two Hands Are Better Than One (up to constant factors): Self-Assembly In The 2HAM vs. aTAM

1 Mathematical Institute, University of Oxford, 24-29 St. Giles’, Oxford OX1 3LB, UK [email protected]. Research supported in part by National Science Foundation grants CCF-0830734 and CBET-0941538. 8 Department of Computer Science, Tufts University, Medford, MA 02155, USA, {scanno01,awinslow}@cs.tufts.edu. Research supported in part by National Science Foundation grants CCF-0830734 and CBET-0941538. 2,3,4Computer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology, 32 Vassar St., Cambridge, MA 02139, USA, {edemaine,mdemaine,seisenst}@mit.edu. Research supported in part by NSF grant CDI-0941538. 5 Department of Computer Science and Computer Engineering, University of Arkansas, Fayetteville, AR 72701, USA, [email protected]. Research supported in part by National Science Foundation grant CCF-1117672. 6 Department of Computer Science, University of Texas–Pan American, Edinburg, TX, 78539, USA, [email protected]. Research supported in part by National Science Foundation grant CCF-1117672. 7 Department of Computer Science and Software Engineering, University of Wisconsin–Platteville, Platteville, WI 53818, USA, [email protected]