// physics · math · models (pls enable js)
hi, i'm
malakai harianto.
Mathematical Physics undergraduate at the University of Melbourne. I build models, and love everything mathematical physics and scientific computing.
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// ipynb · projective geometry
Projective Analysis
Goaltender Optimisation
An analysis of ice hockey goaltender positioning, by modelling and optimising tradeoffs with crease aggression. Written in a Jupyter notebook with matplotlib plot rendering.
python
numpy
matplotlib
quarto
# Monte Carlo static depth solver
def obj(d_g):
return np.mean([
exposed_area_eff(x_p, y_p, d_g, theta_set)[0]
for x_p, y_p in samples
])
# 1D bounded optimization over crease depth
res = minimize_scalar(obj, bounds=(0.0, R_CREASE), method='bounded')
d_g_star = float(res.x)
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