Endomorphism. It is a elliptic curve property, not a ECDSA property.
If kG = (x,y) then (λ*k)G = (β*x, y) and (λ*λ*k)G = (β*β*x, y)
where
λ = 5363ad4c c05c30e0 a5261c02 8812645a 122e22ea 20816678 df02967c 1b23bd72
β = 7ae96a2b 657c0710 6e64479e ac3434e9 9cf04975 12f58995 c1396c28 719501ee
λ*k is mod n, β*x is mod p
where
n = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141
p = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F
In this way, you get 6 points with only 1 "operation" kG:
(x,y) (β*x, y) (β*β*x, y)
(x,p-y) (β*x, p-y) (β*β*x, p-y)