MSG 178.157

Symbol Coordinates
A \(\left(0,0,0\right)\)
B \(\left(0,\frac{1}{\sqrt{3}},0\right)\)
C \(\left(\frac{1}{3},\frac{1}{\sqrt{3}},0\right)\)
D \(\left(0,0,\frac{1}{2}\right)\)
E \(\left(0,\frac{1}{\sqrt{3}},\frac{1}{2}\right)\)
F \(\left(\frac{1}{3},\frac{1}{\sqrt{3}},\frac{1}{2}\right)\)
Symbol First boundary 0-cell Second boundary 0-cell
\(a\) \(\left(0,0,0\right)\) \(\left(\frac{1}{3},\frac{1}{\sqrt{3}},0\right)\)
\(b\) \(\left(0,0,0\right)\) \(\left(0,\frac{1}{\sqrt{3}},0\right)\)
\(c\) \(\left(0,\frac{1}{\sqrt{3}},0\right)\) \(\left(\frac{1}{3},\frac{1}{\sqrt{3}},0\right)\)
\(d\) \(\left(0,0,\frac{1}{2}\right)\) \(\left(\frac{1}{3},\frac{1}{\sqrt{3}},\frac{1}{2}\right)\)
\(e\) \(\left(0,0,\frac{1}{2}\right)\) \(\left(0,\frac{1}{\sqrt{3}},\frac{1}{2}\right)\)
\(f\) \(\left(0,\frac{1}{\sqrt{3}},\frac{1}{2}\right)\) \(\left(\frac{1}{3},\frac{1}{\sqrt{3}},\frac{1}{2}\right)\)
\(g\) \(\left(0,0,0\right)\) \(\left(0,0,\frac{1}{2}\right)\)
\(h\) \(\left(0,\frac{1}{\sqrt{3}},0\right)\) \(\left(0,\frac{1}{\sqrt{3}},\frac{1}{2}\right)\)
\(i\) \(\left(\frac{1}{3},\frac{1}{\sqrt{3}},0\right)\) \(\left(\frac{1}{3},\frac{1}{\sqrt{3}},\frac{1}{2}\right)\)
Symbol Boundary 0-cells
\(\alpha\) \(\left(0,0,0\right)\left(0,\frac{1}{\sqrt{3}},0\right)\left(\frac{1}{3},\frac{1}{\sqrt{3}},0\right)\)
\(\beta\) \(\left(0,0,\frac{1}{2}\right)\left(0,\frac{1}{\sqrt{3}},\frac{1}{2}\right)\left(\frac{1}{3},\frac{1}{\sqrt{3}},\frac{1}{2}\right)\)
\(\gamma\) \(\left(0,0,0\right)\left(0,0,\frac{1}{2}\right)\left(\frac{1}{3},\frac{1}{\sqrt{3}},\frac{1}{2}\right)\left(\frac{1}{3},\frac{1}{\sqrt{3}},0\right)\)
\(\delta\) \(\left(0,\frac{1}{\sqrt{3}},0\right)\left(0,\frac{1}{\sqrt{3}},\frac{1}{2}\right)\left(\frac{1}{3},\frac{1}{\sqrt{3}},\frac{1}{2}\right)\left(\frac{1}{3},\frac{1}{\sqrt{3}},0\right)\)
\(\varepsilon\) \(\left(0,0,0\right)\left(0,0,\frac{1}{2}\right)\left(0,\frac{1}{\sqrt{3}},\frac{1}{2}\right)\left(0,\frac{1}{\sqrt{3}},0\right)\)