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We present a novel method to compress galaxy clustering three-pointstatistics and apply it to redshift space galaxy bispectrum monopolemeasurements from BOSS DR12 CMASS data considering a $k$-space range of$0.03-0.12\,h/\mathrm{Mpc}$. The method consists in binning together bispectraevaluated at sets of wave-numbers forming closed triangles with similargeometrical properties: the area, the cosine of the largest angle and the ratiobetween the cosines of the remaining two angles. This enables us to increasethe number of bispectrum measurements for example by a factor of $23$ over thestandard binning (from 116 to 2734 triangles used), which is otherwise limitedby the number of mock catalogues available to estimate the covariance matrixneeded to derive parameter constraints. The $68\%$ credible intervals for theinferred parameters $\left(b_1,b_2,f,\sigma_8\right)$ are thus reduced by$\left(-39\%,-49\%,-29\%,-22\%\right)$, respectively. We find very goodagreement with the posteriors recently obtained by alternative maximalcompression methods. This new method does not require the a-priori computationof the data-vector covariance matrix and has the potential to be directlyapplicable to other three-point statistics (e.g. glaxy clustering, weakgravitational lensing, 21 cm emission line) measured from future surveys suchas DESI, Euclid, PFS and SKA.

Geometrical compression: a new method to enhance the BOSS galaxy bispectrum monopole constraints