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→Truth tables: PNG
Table 1 is a [[truth table]] for the sixteen boolean functions of type <math>f : \mathbb{B}^3 \to \mathbb{B}</math> whose fibers of 1 are either the boundaries of points in <math>\mathbb{B}^3</math> or the complements of those boundaries.
Table 1 is a [[truth table]] for the sixteen boolean functions of type <math>f : \mathbb{B}^3 \to \mathbb{B}</math> whose fibers of 1 are either the boundaries of points in <math>\mathbb{B}^3</math> or the complements of those boundaries.
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{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:whitesmoke; font-weight:bold; text-align:center; width:80%"
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:whitesmoke; font-weight:bold; text-align:center; width:80%"
|+ Table 1. Logical Boundaries and Their Complements
|+ Table 1. Logical Boundaries and Their Complements
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:ghostwhite; font-weight:bold; text-align:center; width:80%"
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:ghostwhite; font-weight:bold; text-align:center; width:80%"
|-
|-
| width="20%" | <math>f_{104}</math>
| width="20%" | <math>f_{104}\!</math>
| width="20%" | <math>f_{01101000}</math>
| width="20%" | <math>f_{01101000}\!</math>
| width="20%" | 0 1 1 0 1 0 0 0
| width="20%" | 0 1 1 0 1 0 0 0
| width="20%" | <math>( p , q , r )</math>
| width="20%" | <math>( p , q , r )\!</math>
|-
|-
| <math>f_{148}</math>
| <math>f_{148}\!</math>
| <math>f_{10010100}</math>
| <math>f_{10010100}\!</math>
| 1 0 0 1 0 1 0 0
| 1 0 0 1 0 1 0 0
| <math>( p , q , (r))</math>
| <math>( p , q , (r))\!</math>
|-
|-
| <math>f_{146}</math>
| <math>f_{146}\!</math>
| <math>f_{10010010}</math>
| <math>f_{10010010}\!</math>
| 1 0 0 1 0 0 1 0
| 1 0 0 1 0 0 1 0
| <math>( p , (q), r )</math>
| <math>( p , (q), r )\!</math>
|-
|-
| <math>f_{97}</math>
| <math>f_{97}\!</math>
| <math>f_{01100001}</math>
| <math>f_{01100001}\!</math>
| 0 1 1 0 0 0 0 1
| 0 1 1 0 0 0 0 1
| <math>( p , (q), (r))</math>
| <math>( p , (q), (r))\!</math>
|-
|-
| <math>f_{134}</math>
| <math>f_{134}\!</math>
| <math>f_{10000110}</math>
| <math>f_{10000110}\!</math>
| 1 0 0 0 0 1 1 0
| 1 0 0 0 0 1 1 0
| <math>((p), q , r )</math>
| <math>((p), q , r )\!</math>
|-
|-
| <math>f_{73}</math>
| <math>f_{73}\!</math>
| <math>f_{01001001}</math>
| <math>f_{01001001}\!</math>
| 0 1 0 0 1 0 0 1
| 0 1 0 0 1 0 0 1
| <math>((p), q , (r))</math>
| <math>((p), q , (r))\!</math>
|-
|-
| <math>f_{41}</math>
| <math>f_{41}\!</math>
| <math>f_{00101001}</math>
| <math>f_{00101001}\!</math>
| 0 0 1 0 1 0 0 1
| 0 0 1 0 1 0 0 1
| <math>((p), (q), r )</math>
| <math>((p), (q), r )\!</math>
|-
|-
| <math>f_{22}</math>
| <math>f_{22}\!</math>
| <math>f_{00010110}</math>
| <math>f_{00010110}\!</math>
| 0 0 0 1 0 1 1 0
| 0 0 0 1 0 1 1 0
| <math>((p), (q), (r))</math>
| <math>((p), (q), (r))\!</math>
|}
|}
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:ghostwhite; font-weight:bold; text-align:center; width:80%"
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:ghostwhite; font-weight:bold; text-align:center; width:80%"
|-
|-
| width="20%" | <math>f_{233}</math>
| width="20%" | <math>f_{233}\!</math>
| width="20%" | <math>f_{11101001}</math>
| width="20%" | <math>f_{11101001}\!</math>
| width="20%" | 1 1 1 0 1 0 0 1
| width="20%" | 1 1 1 0 1 0 0 1
| width="20%" | <math>(((p), (q), (r)))</math>
| width="20%" | <math>(((p), (q), (r)))\!</math>
|-
|-
| <math>f_{214}</math>
| <math>f_{214}\!</math>
| <math>f_{11010110}</math>
| <math>f_{11010110}\!</math>
| 1 1 0 1 0 1 1 0
| 1 1 0 1 0 1 1 0
| <math>(((p), (q), r ))</math>
| <math>(((p), (q), r ))\!</math>
|-
|-
| <math>f_{182}</math>
| <math>f_{182}\!</math>
| <math>f_{10110110}</math>
| <math>f_{10110110}\!</math>
| 1 0 1 1 0 1 1 0
| 1 0 1 1 0 1 1 0
| <math>(((p), q , (r)))</math>
| <math>(((p), q , (r)))\!</math>
|-
|-
| <math>f_{121}</math>
| <math>f_{121}\!</math>
| <math>f_{01111001}</math>
| <math>f_{01111001}\!</math>
| 0 1 1 1 1 0 0 1
| 0 1 1 1 1 0 0 1
| <math>(((p), q , r ))</math>
| <math>(((p), q , r ))\!</math>
|-
|-
| <math>f_{158}</math>
| <math>f_{158}\!</math>
| <math>f_{10011110}</math>
| <math>f_{10011110}\!</math>
| 1 0 0 1 1 1 1 0
| 1 0 0 1 1 1 1 0
| <math>(( p , (q), (r)))</math>
| <math>(( p , (q), (r)))\!</math>
|-
|-
| <math>f_{109}</math>
| <math>f_{109}\!</math>
| <math>f_{01101101}</math>
| <math>f_{01101101}\!</math>
| 0 1 1 0 1 1 0 1
| 0 1 1 0 1 1 0 1
| <math>(( p , (q), r ))</math>
| <math>(( p , (q), r ))\!</math>
|-
|-
| <math>f_{107}</math>
| <math>f_{107}\!</math>
| <math>f_{01101011}</math>
| <math>f_{01101011}\!</math>
| 0 1 1 0 1 0 1 1
| 0 1 1 0 1 0 1 1
| <math>(( p , q , (r)))</math>
| <math>(( p , q , (r)))\!</math>
|-
|-
| <math>f_{151}</math>
| <math>f_{151}\!</math>
| <math>f_{10010111}</math>
| <math>f_{10010111}\!</math>
| 1 0 0 1 0 1 1 1
| 1 0 0 1 0 1 1 1
| <math>(( p , q , r ))</math>
| <math>(( p , q , r ))\!</math>
|}
|}
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