Solids

• 2x3x10: 12 solutions (X3D model)

  

• 2x5x6: 264 solutions (X3D model)

  

• 3x4x5: 3940 solutions (X3D model)

  

Ring Walls

(rectangular walls, 1 cube thick, with hollow centers):

• 3x3x9: 3 solutions (X3D model)

  

• 3x5x7: 1 solution (X3D model)

  

• 5x3x5: 186 solutions (X3D model)

  

• 6x3x4: 46 solutions (X3D model)

  

Three other rings with no solutions were also implemented: 3x4x8, 3x6x6, and 5x4x4.

Open Boxes

• 8x3x3: solutions incomplete (X3D model)

  

• 6x3x4: solutions incomplete (X3D model)

  

Steps

• 5x5x4: 137 solutions (X3D model)

  

• 4x4x6: 279 solutions (X3D model)

  

• 3x3x10: 9 solutions (X3D model)

  

Crystals

• 4x4x8: 251 solutions (X3D model)

  

• 6x6x6:

  2 solutions (X3D model)	1 solution (X3D model)	9 solutions (X3D model)
  2 solutions (X3D model)	4 solutions (X3D model)

Misc

• 3x5x7 slope: 116 solutions (X3D model)

  

• Towers:

  27 solutions (core hollow; design by David Klarner; X3D model)

  10 solution (core hollow; design by David Klarner; X3D model)

  many solutions (design by Leslie Young, via Kadon's Quintillions booklet; ; X3D model)

• Ohno's block (design by Yoshio Ohno, via Kadon's Quintillions booklet, titled "A Gift From Japan"): 1 solution (X3D model)

  

• Spinner block: 42 solutions (X3D model)

  

• Corner walls (the far corner cube is empty): 253 solutions (X3D model)

  

• Corner piece (design from Kadon's Quintillions booklet): 70 solutions (X3D model)

  

• Three walls (design from Kadon's Quintillions booklet): 90 solutions (X3D model)

  

• Empty bottle (hollow central 1x1x5; design from Kadon's Quintillions booklet): 49 solutions (X3D model)

  

• Condominium B (design from Kadon's Quintillions booklet): 1 solution (X3D model)

  

• Cross blocks:

  92 solutions (X3D model)	15 solutions (X3D model)
  10 solutions (X3D model)

• Quarter Pyramid: a 55-cube shape, so 11 pieces are used and one piece must be omitted. 320 solutions (X3D model)

  

  Solutions omitting F: 11; I: 7; L: none; N: 4; P: none; T: 22; U: 4; V: 12; W: 10; X: 223; Y: 2; Z: 25.

• Cross Tower (design from Thimo Rosenkranz's pentoma.de): 7 solutions (X3D model)

  

• Infinity Tower (design from Thimo Rosenkranz's pentoma.de): 1 solution (X3D model)

  

• Square Towers:

  1 solution (design from Thimo Rosenkranz's pentoma.de; X3D model)	54 solutions (design from Thimo Rosenkranz's pentoma.de; X3D model)
  27 solutions (X3D model)	8 solutions (X3D model)
  106 solutions (X3D model)	154 solutions (X3D model)

• Stairstep walls:

  34 solutions (X3D model)

  1 solution (X3D model)

• Stepped pyramid (design suggested by Colin Lacy): 55 solutions (X3D model)