515.10 Angles

515.101 Because angles are parts of only one cycle, they are inherently subcyclic. Because size must be predicated Einsteinianly upon local-experience time cycles, relative size is measured in cyclic units. Therefore, angles, which are less than one cycle, are inherently less than one unit of size. Angles are inherently “subsize” consideration. Because angles are subcyclic, they are “subsize.” Therefore, we are permitted to think independently of size in respect to triangles, which consist of three separate angles.

515.11 We may think independently of size in respect to tetrahedra, which consist of 12 separate angles. Triangles and tetrahedra and all varieties of polyhedra are thinkable independently of size. The cyclic-module measurement of the time of experiencing or generating the length of the edge of any triangulated special-case system can represent the basic “standard” of relative size-comparisoning to other object experiences. Each cyclic “sizing” increment is one unit of frequency and each cyclic increment inherently constitutes one unit of experienced physical energy.

515.12 When man employs nature’s basic designing tools, he needs only generalized angles and special-case frequencies to describe any and all omnidirectional patterning experience subjectively conceived or objectively realized.

515.13 For how many cycles of relative-experience timing shall we go in each angular direction before we change the angle of direction of any unique system-describing operation?[^16]

515.14 Angular fractionation is absolute. Triangles can be equiangular one-fourth of a cycle or one-fiftieth of one cycle of unitybut they cannot be equilateral. Angles are constant and independent of size. Size is always special-case experience. Angles are generalized. Only eternal constants can be generalized. We do not know the length of the edges. Edges can be any length permitted by time. The length of the edges is frequency, while the angle is subfrequency.