Starry Dodecasphere

Try this paper sphere! Simple to make with twelve identical pattern pieces, yet when complete the dodecasphere has sixty mostly solid triangles, twenty see-thru triangles, and twelve see-thru stars.

Step 2

Cut out the twelve pattern pieces by cutting on all black lines. All twelve pieces are identical.

STEP 3

On each of the twelve pattern pieces, fold the red lines as mountain folds and the green lines as valley folds. Next glue Flap A to the other Flap A on each of the twelve pattern pieces.

Step 4

Connect two pattern pieces together by gluing a Flap B on on the first piece to a Flap B on the second piece.

Step 5

Connect the third piece to the project by gluing two Flap B’s on the third piece to two Flap B’s on the project, so that an open triangle is formed between the three connected pieces.

Step 6

Connect the fourth piece to the project by gluing two Flap B’s on the fourth piece to two Flap B’s on the project. Next connect the fifth piece by gluing two Flap B’s on the fifth piece to two Flap B’s on the project.

Step 7

Connect the sixth piece to the project by gluing three Flap B’s on the sixth piece to three Flap B’s on the project.

Step 8

Connect the seventh piece to the project by gluing two Flap B’s on the seventh piece to two Flap B’s on the project. Connect the eighth and ninth pieces by gluing three Flap B’s on each new piece to three Flap B’s on the project.

Step 9

Complete the Starry Dodecasphere by connecting the tenth, eleventh, and twelfth pieces to the project. Glue three Flap B’s on the tenth piece to three Flap B’s on the project. Then glue four Flap B’s on the eleventh piece to four Flap B’s on the project. Finally glue five Flap B’s on the twelfth piece to five Flap B’s on the project.

Another Example

For you 3D geometry stars, this Starry Dodecasphere is in the form of a snub dodecahedron.