Geodesic
A Regular Quaternion Polygon
Canadian mathematical bulletin, Tome 2 (1959) no. 2, pp. 77-79

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Repeated application of the unitary reflections to the point (1,0) and line x + iy = 1 yields 24 points and 24 lines. These are the vertices and edges of the regular complex polygon 4 {3} 4 whose group has the abstract definition R4 = I, RSR = SRS [l]. The purpose of this note is to introduce the notion of regular quaternion polygon and give an example analogous to the preceding one. 
Crowe, Donald W. A Regular Quaternion Polygon. Canadian mathematical bulletin, Tome 2 (1959) no. 2, pp. 77-79. doi: 10.4153/CMB-1959-011-5
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     title = {A {Regular} {Quaternion} {Polygon}},
     journal = {Canadian mathematical bulletin},
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     year = {1959},
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     doi = {10.4153/CMB-1959-011-5},
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