Baiocchi Figures for Tetrapent-Pentapent Pairs

A tetrapent is a plane figure formed by joining 4 equal regular pentagons edge to edge:

A pentapent is a plane figure formed by joining 5 equal regular pentagons edge to edge:

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polypents, that means the symmetry of a regular decagon, or 10-way rotary with reflection.

Baiocchi Figures may also be defined for sets of tiles. For each combination of one tetrapent and one pentapent, I show here a Baiocchi Figure with minimal area. If you find a smaller solution, please write.

70 Cells (15 Tiles)

90 Cells (20 Tiles)

110 Cells (25 Tiles)

130 Cells (30 Tiles)

140 Cells (30 Tiles)

170 Cells (40 Tiles)

180 Cells (40 Tiles)

210 Cells (50 Tiles)

230 Cells (50 Tiles)

260 Cells (60 Tiles)

270 Cells (60 Tiles)

Last revised 2024-09-18.


Back to Baiocchi Figures < Polyform Compatibility < Polyform Curiosities
Col. George Sicherman [ HOME | MAIL ]