The key difference from Euclidean geometry is that a circle of radius \(r\) has circumference \(2\pi\sinh r 2\pi r\), and volumes grow exponentially rather than polynomially: \[\operatorname{Vol}(B(r)) = \operatorname{Vol}(S^{n-1})\int_0^r \sinh^{n-1}(t)\,dt.\]
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雷布夏特認為，不應將新科技視為對人類教師的威脅，而應視為互補。他指出，科技能為學生提供額外的練習與回饋，並擴大學習的可及性。