### Folder Free eBooks by Bob Albrecht

#### pdf Mathemagical Black Holes 1, 153, 370, 371, 407 and Cyclical

**Mathemagical Black Hole**: Start with an

**input**number. Apply a

**process**(sequence of mathematical operations) to the input number and get an

**output**number.

**sum of cubes of digits**.

^{3 }= 1

^{3}+ 5

^{3}+ 3

^{3}= 153

^{3}+ 7

^{3}+ 0

^{3}= 370

^{3}+ 7

^{3}+ 1

^{3}= 371

^{3}+ 0

^{3}+ 7

^{3}= 407

**AMAZING! MATHEMAGICAL!**Repeated application of the sum of cubes of digits process sends EVERY natural number into black hole 1, black hole 153, black hole 370, black hole 371, black hole 407 or a cyclical black hole.

#### document Mathemagical Black Holes 1, 153, 370, 371, 407 and Cyclical

**Mathemagical Black Hole**: Start with an

**input**number. Apply a

**process**(sequence of mathematical operations) to the input number and get an

**output**number.

**sum of cubes of digits**.

^{3 }= 1

^{3}+ 5

^{3}+ 3

^{3}= 153

^{3}+ 7

^{3}+ 0

^{3}= 370

^{3}+ 7

^{3}+ 1

^{3}= 371

^{3}+ 0

^{3}+ 7

^{3}= 407

**AMAZING! MATHEMAGICAL!**Repeated application of the sum of cubes of digits process sends EVERY natural number into black hole 1, black hole 153, black hole 370, black hole 371, black hole 407 or a cyclical black hole.

#### document Play Together, Learn Together: Number Race Dice Games

*Play is the work of the child*. – Friedrich Froebel, Jean Piaget, and others

*When tools become toys, then work becomes play*. – Bernie DeKoven

*When homework becomes homepla*

*y, then learning becomes fun*. – Bob & George#### pdf Play Together, Learn Together: Number Race Dice Games

*Play is the work of the child*. – Friedrich Froebel, Jean Piaget, and others

*When tools become toys, then work becomes play*. – Bernie DeKoven

*When homework becomes homepla y, then learning becomes fun. – Bob & George*

#### pdf Live/Work/Play in Earth Orbit 01