Coloring Uniform Honeycombs

• المؤلفون الرئيسيون: Laigo, Glenn R, De Las Peñas, Ma. Louise Antonette N, Felix, Rene P
• التنسيق: text
• منشور في: Archīum Ateneo 2009
• الموضوعات: Geometry and Topology; Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/129; https://archive.bridgesmathart.org/2009/bridges2009-131.html

In this paper, we discuss a method of arriving at colored three-dimensional uniform honeycombs. In particular, we present the construction of perfect and semi-perfect colorings of the truncated and bitruncated cubic honeycombs. If G is the symmetry group of an uncolored honeycomb, a coloring of the honeycomb is perfect if the group H consisting of elements that permute the colors of the given coloring is G. If H is such that [G:H] = 2, we say that the coloring of the honeycomb is semi-perfect.