Root system inner product is the Killing form. The cosine of the angle between two roots is constrained to be a half-integral multiple of a square root of an integer. This is because formula_32 and formula_33 are both integers, by assumption, and formula_34 Since formula_35, the only possible values for formula_36 are formula_37 and formula_38, corresponding to angles of 90°, 60° or 120°, 45° or 135°, 30° or 150°, and 0° or 180°. Condition 2 says that no scalar multiples of "α" other than 1 and -1 can be roots, so 0 or 180°, which would correspond to 2"α" or −2"α", are
Many-angled ones Lanning, Quasar travels through a time/space rift to an alternate earth with multiple Lovecraftian elements being part of the everyday reality of that world. There Quasar meets the Revengers, that world's counterparts to the Avengers, who received their powers from the Many-Angled Ones in exchange for adoration and worship from the heroes. That world's Iron Man states that the Many-Angled Ones have outgrown their reality and need a new place to feed and be worshiped. They intend for Quasar to show them the way to his Earth. The Many-Angled Ones are opposed on this Earth by the heroes who believe