Abstract A p -set of equiangular lines in ℂ 3 is a set of p lines spanning ℂ 3 each pair of which has the same nonzero angle arccos c , where 0 &lt; c &lt; 1. It is known that via a real matrix representation, a pair of lines in ℝ 3 with angle arccos c yields a pair of isoclinic planes in ℝ 6 with angle arccos c . In this article we characterize all p -tuples of equi-isoclinic planes in ℝ 6 which come via our real matrix representation from p -tuples of equiangular lines in ℂ 3 . More precisely, we describe quadruples, quintuples up to nine-tuples of equiangular lines in ℂ 3 .

Boumediene Et-Taoui

Imène Lehbab

Abdenacer Makhlouf

Advances in Geometry

ADVANCES IN GEOMETRY 是一本数学期刊，用于发表几何领域中质量卓越的原创研究文章。几何学是一个具有悠久传统和显着重要性的领域。空间和空间模式的研究是一项主要的数学活动；几何思想和几何语言渗透到所有的数学中。

Advances in Geometry is a mathematics journal dedicated to publishing high-quality original research articles in the field of geometry. Geometry, with its long-standing tradition and significant importance, involves the study of space and spatial patterns, which is a major mathematical activity. Geometric ideas and language permeate all areas of mathematics.

《Advances in Geometry》是一本专注于几何领域的数学期刊，致力于发表高质量的原创研究文章。几何学作为一个历史悠久且极具重要性的学科，涉及空间及其模式的研究，这是一项主要的数学活动。几何思想和语言在所有数学领域中都有着深刻的影响。

Category	Quartile
数学	4
数学, 数学	4

Equiangular lines in ℂ³

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Equiangular lines in ℂ3

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Equiangular lines in ℂ³