I hope I'm not stepping on any toes here, but I had a lot of fun with Super's and Ed's Racing puzzles. Next comes Hyperspace Racing. =P

This is a variant on Superprismatic's challenge and Captain Ed's variation. The movement rules are the same, but include a 3rd dimension. In Super's challenge, you had to land on a series of marks in sequence; in Capt Ed's, the goal was to round a mark; in this challenge, you have to navigate through four spherical rings of radius 1 in any direction and in any order.

Goal: Move your spaceship around the course, navigate through all four spheres, and return to base (origin) in the minimum number of moves.

Movement: Your boat begins at the origin (0,0,0), with a velocity vector of (0,0,0).

Before each move, you specify an acceleration vector (a,b,c), where a, b, and c can independently take on integer values from the set (-1, 0, 1).

The move consists of: (a) update the velocity by adding the acceleration, and then (b) move the spaceship by the velocity vector.

Example: if the prior location was (10,11,12), and the prior velocity was (2,5,6), and you choose the acceleration vector (1,-1,0),

the new velocity becomes (3,4,6) and the new location becomes (13,15,18).

Course constraints: The course consists of an unordered series of four rings. A ring is a sphere of radius 1 with centers at the points provided below. Crossing through a sphere means passing through the center or any of the 6 adjacent points. Assume the course is "infinite", that is, from (-100,-100,-100) to (100,100,100)

Your path through the course must contain a move through each of the four rings in any order and in any direction.

## Question

## Molly Mae 103

I hope I'm not stepping on any toes here, but I had a lot of fun with Super's and Ed's Racing puzzles. Next comes Hyperspace Racing. =P

This is a variant on Superprismatic's challenge and Captain Ed's variation. The movement rules are the same, but include a 3rd dimension. In Super's challenge, you had to land on a series of marks in sequence; in Capt Ed's, the goal was to round a mark; in this challenge, you have to navigate through four spherical rings of radius 1 in any direction and in any order.

Goal: Move your spaceship around the course, navigate through all four spheres, and return to base (origin) in the minimum number of moves.

Movement: Your boat begins at the origin (0,0,0), with a velocity vector of (0,0,0).

Before each move, you specify an acceleration vector (a,b,c), where a, b, and c can independently take on integer values from the set (-1, 0, 1).

The move consists of: (a) update the velocity by adding the acceleration, and then (b) move the spaceship by the velocity vector.

Example: if the prior location was (10,11,12), and the prior velocity was (2,5,6), and you choose the acceleration vector (1,-1,0),

the new velocity becomes (3,4,6) and the new location becomes (13,15,18).

Course constraints: The course consists of an unordered series of four rings. A ring is a sphere of radius 1 with centers at the points provided below. Crossing through a sphere means passing through the center or any of the 6 adjacent points. Assume the course is "infinite", that is, from (-100,-100,-100) to (100,100,100)

Your path through the course must contain a move through each of the four rings in any order and in any direction.

The first ring is (-22,18,19)

The second sphere is (12,-12,26)

The third sphere is (38,-13, 0)

The fourth sphere is (-9,30,-18)

Return to base (origin)

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