58P5H1V1 is an unnamed c/5 diagonalspaceship discovered by Matthias Merzenich on September 5, 2010.[1] In terms of its minimum population of 58cells it is the smallest known c/5 diagonal spaceship. It provides sparks at its trailing edge which can perturb gliders, and this property was used to create the first c/5 diagonal puffers. These sparks also allow the attachment of tagalongs which was used to create the first c/5 diagonal wickstretcher in January 2011.[2] A period-1540 glide-symmetric three-ship puffer was discovered by Peter Naszvadi in March 2020.[3]
The final step for a glider synthesis of this spaceship was found by Goldtiger997 and Tanner Jacobi on April 2, 2020.[4] Goldtiger997 posted a complete 220-glider synthesis, including the base still life, on the next day,[5] making 58P5H1V1 the first spaceship of its speed to be synthesized. Reductions to the synthesis have since been made.[6][7][8][9] A 58P5H1V1 gun with period 2760 was posted by Entity Valkyrie on May 22.[10]
Goldtiger997 constructed a 1G seed for 58P5H1V1 on July 7, 2020.[11] A version of this seed constellation was soon proven to be glider-constructible, opening up the possibility of self-constructing spaceships with diagonal speeds approaching c/5, where the previous limit had been c/12 with the use of constructible Corderships.
