Hypertri - 3(3)3 = 27
Hypertet - 4(4)(4)4 (a.k.a. Hayden's Tetratet)
Hyperhex - 6(6)(6)(6)(6)6 (a.k.a. Hayden's Hexahex)
Hyperhept - 7(7)(7)(7)(7)(7)7 (a.k.a. Hayden's Heptahept)
Hyperogd - 8(8)(8)(8)(8)(8)(8)8
Hyperenn - 9(9)(9)(9)...(9)(9)(9)9 (7 9's)
Hyperdecal / Hiteral - 10(10)(10)(10)...(10)(10)(10)10 (8 10's)
Hay-Goobol - 10(10)(10)(10)...(10)(10)(10)10 (98 10's)