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The venn diagram for <math>\texttt{Mno}(p, q, r)</math> is shown in Figure&nbsp;1.

 

 

The venn diagram for <math>\texttt{Mno}(p, q, r)</math> is shown in Figure&nbsp;2.

{| align="center" cellpadding="8" style="text-align:center"

{| align="center" cellpadding="8" style="text-align:center"

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<p>[[Image:Venn Diagram (P,Q,R).jpg|500px]]</p>

<p>[[Image:Venn Diagram (P,Q,R).jpg|500px]]</p>

<p><math>\text{Figure 1.}~~\texttt{Mno}(p, q, r)</math></p>

<p><math>\text{Figure 2.}~~\texttt{Mno}(p, q, r)</math></p>

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==Truth tables==

==Truth tables==

Table&nbsp;2 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&nbsp;3 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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<br>

{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"

{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"

|+ <math>\text{Table 2.}~~\text{Logical Boundaries and Their Complements}</math>

|+ <math>\text{Table 3.}~~\text{Logical Boundaries and Their Complements}</math>

|- style="background:#f0f0ff"

|- style="background:#f0f0ff"

| <math>\mathcal{L}_1</math>

| <math>\mathcal{L}_1</math>

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<p>[[Image:Venn Diagram (P,Q,R).jpg|500px]]</p>

<p>[[Image:Venn Diagram (P,Q,R).jpg|500px]]</p>

<p><math>\text{Figure 3.}~~\texttt{(p, q, r)}</math></p>

<p><math>\text{Figure 4.}~~\texttt{(p, q, r)}</math></p>

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<p>[[Image:Venn Diagram ((P),(Q),(R)).jpg|500px]]</p>

<p>[[Image:Venn Diagram ((P),(Q),(R)).jpg|500px]]</p>

<p><math>\text{Figure 4.}~~\texttt{((p),(q),(r))}</math></p>

<p><math>\text{Figure 5.}~~\texttt{((p),(q),(r))}</math></p>

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