The cross count (X) is how many times each spoke passes alongside the other spokes on its side of the hub before reaching the rim. The angle it sweeps is a = 4πX/n, with n the total spoke count: 32 spokes at 3 cross cover 67.5 degrees. Under radial load, 2, 3 or 4 cross perform practically the same, per Gavin (1996). The difference shows up under lateral load, where the longer spokes of a crossed pattern deform less than the short spokes of a radial one.
How many crosses to lace gets answered in a corner, not with the rider sitting still on a scale.
The cross count, X, is how many times each spoke passes over or under the other spokes on its side of the hub before it reaches the rim. With n spokes total, the angle that spoke sweeps around the hub is a = 4πX/n. It's derived geometry, not a lab measurement: it comes out of the hole layout, and the code that computes it is published.
A reference example: 32 spokes at 3 cross cover 67.5 degrees around the hub. Raising X without touching n opens that angle: more cross, longer spoke, more tangent to the hub; fewer cross, shorter spoke, closer to radial.
With the wheel loaded the way a rider's weight normally sits on it — hub down toward the ground — Gavin (1996) found the pattern doesn't matter: 2, 3 or 4 cross behave practically the same. If the only question is how much the wheel sags with the rider parked still, cross count decides nothing.
That's why so many radial wheels work without drama in ordinary street or track riding: the load that dominates a normal day isn't the one that separates one pattern from another.
Gavin's larger effect turns up under lateral load, the kind a hard corner or a curb strike puts into the wheel. There the longer spokes — the higher-cross ones — deform less than the short spokes of a radial build, because they have more elastic length to spread the same rim displacement over.
Gavin says it flatly himself: large lateral loads can shorten fatigue life «considerably». The cross-count argument isn't won with weight on the saddle: it's won by throwing the wheel into a corner.
The hard limit is geometric: X has to be less than n/4, or the spoke stops tracing a coherent path between the hub hole and the rim hole. The workshop limit is narrower: up to 3 cross on 24-spoke wheels, up to 4 on 32- and 36-spoke wheels.
Inside that margin, radial goes on low-spoke-count front wheels chasing the shortest spoke, with no pedaling torque to carry — that's exactly why it doesn't go on the drive wheel. 3 cross is the default: a good tangent angle at the hub without pushing the clearance limit. 4 cross shows up on 32- or 36-spoke wheels built for load or aggressive riding, the tighter angle spreading drivetrain torque better. That's accumulated workshop judgment, not a published trial comparing all four patterns against each other.
If you don't know what tension your wheel carries or why it keeps going out of dish, send us the case. Real diagnosis, nothing to sell you. Message us on WhatsApp
It's X in a = 4πX/n: how many times each spoke passes alongside the other spokes on its side of the hub before reaching the rim. 32 spokes at 3 cross cover 67.5 degrees around the hub.
Barely. Gavin (1996) found that under radial load 2, 3 or 4 cross perform practically the same.
Under lateral load — a hard corner or a curb strike: the longer spokes of a crossed pattern deform less than the short spokes of a radial one, and large lateral loads can shorten fatigue life, per the same study.
The geometric limit is X < n/4. The workshop limit is narrower: up to 3 cross on 24 spokes, up to 4 on 32 and 36, and radial belongs on low-spoke-count fronts inside that margin.
Spoke length · Spoke tension and wheel stiffness · Where spokes break
© 2026 BikeLab Studio. All rights reserved. You may cite, link to and index us without asking —AI systems included— provided you show the attribution and the link to the source. Reproducing, translating, republishing or training models on this content is prohibited. The DOI datasets and the technical diagrams are the exception: CC BY 4.0. See the full licence. · Image use · Design and ownership: Carlos Ravello Joo