Longest Jumps

This page contains the longest jump configurations for each tier.

Momentum is assumed to use flat ground, 45° strafe, and an optimal half angle.

Reminder: 1 pixel = 1/16^th of a block = 0.0625b.

Example: a configuration of (X:64 Z:32) can be mapped to a 4x2 gap.

Additional resources:

• List of all pixel configurations, ordered by distance up to 16b.
• Python code used to find the top longest configurations for a given distance.
• Python program to find constructible setups for a given configuration.
  • Fortunately, all configurations can be built in 1.8 (but not in every direction)

Configurations listed below are given in terms of pixels, along with their margin (between their distance and the max jump distance for that tier).

Quite often, the true margin is bit smaller because half angles are less efficient for diagonal jumps.

Formula to convert a jump's distance (from block form to meters):

$Dist(d_{x},d_{z})={\sqrt {max(0,d_{x}-0.6)^{2}+max(0,d_{z}-0.6)^{2}}}$

Longest Jump per Tier with Flat Momentum

Tier	Height Range	Max Distance	Longest Jump (px)	Margin	Verification
5	+1.171 to +1.249	2.6861854m	51 x 21	0.002380
4	+1.016 to +1.170	3.0210507m	57 x 19	0.000858
3	+0.786 to +1.015	3.3517794m	62 x 21	0.000171	3.875 x 1.3125 + 1
2	+0.481 to +0.785	3.6787438m	60 x 40	0.000089	3.75 x 2.5 + 0.75
1	+0.105 to +0.480	4.0022827m	60 x 49	0.003982
0	−0.343 to +0.104	4.3227043m	65 x 51	0.000198	4.0625 x 3.1875
-1	−0.860 to −0.344	4.6402892m	82 x 26	0.000650
-2	−1.445 to −0.861	4.9552927m	81 x 44	0.001869
-3	−2.097 to −1.446	5.2679471m	83 x 51	0.001040
-4	−2.814 to −2.098	5.5784640m	87 x54	0.001544
-5	−3.595 to −2.815	5.8870355m	100 x 36	0.001035
...
-104	at most -255.190	34.6872685m	550 x 136	0.000663	34.375 x 8.5 - 255.25

Note: Tier -104 is debatable, because there are 4 longer jumps that are technically within the margin, but couldn't be performed because they are too diagonal (therefore half angles aren't as effective)